32.811 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.102 * * * [progress]: [2/2] Setting up program. 0.109 * [progress]: [Phase 2 of 3] Improving. 0.109 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.109 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.110 * * [simplify]: iteration 1: (9 enodes) 0.115 * * [simplify]: iteration 2: (19 enodes) 0.120 * * [simplify]: iteration 3: (23 enodes) 0.126 * * [simplify]: iteration 4: (25 enodes) 0.131 * * [simplify]: Extracting #0: cost 1 inf + 0 0.132 * * [simplify]: Extracting #1: cost 4 inf + 0 0.132 * * [simplify]: Extracting #2: cost 4 inf + 1 0.132 * * [simplify]: Extracting #3: cost 8 inf + 1 0.132 * * [simplify]: Extracting #4: cost 8 inf + 2 0.132 * * [simplify]: Extracting #5: cost 9 inf + 2 0.132 * * [simplify]: Extracting #6: cost 0 inf + 1204 0.133 * * [simplify]: Extracting #7: cost 0 inf + 1144 0.133 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.140 * * [progress]: iteration 1 / 4 0.140 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.174 * * * [progress]: generating rewritten candidates 0.174 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.216 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.224 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.230 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.242 * * * [progress]: generating series expansions 0.242 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.242 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.242 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.243 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.243 * [taylor]: Taking taylor expansion of 1/2 in x 0.243 * [backup-simplify]: Simplify 1/2 into 1/2 0.243 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.243 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.243 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (* x x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [backup-simplify]: Simplify (* 0 0) into 0 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (sqrt 1) into 1 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of 1/2 in x 0.248 * [backup-simplify]: Simplify 1/2 into 1/2 0.249 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.249 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.250 * [backup-simplify]: Simplify (sqrt 1) into 1 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.253 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.253 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.253 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of 1/2 in x 0.253 * [backup-simplify]: Simplify 1/2 into 1/2 0.253 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.253 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.253 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.253 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.253 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (* x x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (* 0 0) into 0 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (sqrt 1) into 1 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of 1/2 in x 0.257 * [backup-simplify]: Simplify 1/2 into 1/2 0.257 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.257 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.257 * [backup-simplify]: Simplify (sqrt 1) into 1 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [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 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [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 0.262 * [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 0.265 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.265 * [backup-simplify]: Simplify 1/8 into 1/8 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.268 * [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 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [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 0.276 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.276 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.276 * [backup-simplify]: Simplify -11/128 into -11/128 0.277 * [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 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [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 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.291 * [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 0.293 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.294 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.296 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.296 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.297 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.297 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.297 * [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))) 0.298 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.298 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.298 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.298 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.298 * [taylor]: Taking taylor expansion of 1/2 in x 0.298 * [backup-simplify]: Simplify 1/2 into 1/2 0.298 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.298 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.298 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of 1 in x 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.298 * [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 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (+ 0 1) into 1 0.300 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of 1/2 in x 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.305 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.305 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.306 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.306 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.308 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.308 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.308 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.308 * [taylor]: Taking taylor expansion of 1/2 in x 0.308 * [backup-simplify]: Simplify 1/2 into 1/2 0.308 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.308 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.308 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ 0 1) into 1 0.311 * [backup-simplify]: Simplify (sqrt 1) into 1 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of 1/2 in x 0.315 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.315 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.316 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.318 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.319 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.324 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.325 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.326 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.330 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.333 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.343 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.347 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.350 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.355 * [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))) 0.355 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.355 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.355 * [taylor]: Taking taylor expansion of 1 in x 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.356 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.356 * [taylor]: Taking taylor expansion of 1/2 in x 0.356 * [backup-simplify]: Simplify 1/2 into 1/2 0.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.356 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.356 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.356 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.356 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.356 * [taylor]: Taking taylor expansion of 1 in x 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of 1 in x 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [backup-simplify]: Simplify -1 into -1 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ -1 1) into -1 0.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [backup-simplify]: Simplify -1 into -1 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ -1 1) into -1 0.357 * [backup-simplify]: Simplify (* -1 -1) into 1 0.357 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [backup-simplify]: Simplify (sqrt 1) into 1 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of 1/2 in x 0.360 * [backup-simplify]: Simplify 1/2 into 1/2 0.360 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.360 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.360 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.361 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.362 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.362 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.362 * [taylor]: Taking taylor expansion of 1/2 in x 0.362 * [backup-simplify]: Simplify 1/2 into 1/2 0.362 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.362 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.362 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.362 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.362 * [taylor]: Taking taylor expansion of -1 in x 0.362 * [backup-simplify]: Simplify -1 into -1 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ -1 1) into -1 0.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.362 * [taylor]: Taking taylor expansion of -1 in x 0.362 * [backup-simplify]: Simplify -1 into -1 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ -1 1) into -1 0.363 * [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 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of 1/2 in x 0.366 * [backup-simplify]: Simplify 1/2 into 1/2 0.366 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.366 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.367 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.367 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.368 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.368 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.369 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.370 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.371 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.373 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.374 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.380 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.383 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.385 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.390 * [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)) 0.391 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.391 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.391 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of 1/2 in x 0.391 * [backup-simplify]: Simplify 1/2 into 1/2 0.391 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.391 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.391 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.391 * [taylor]: Taking taylor expansion of 1 in x 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of 1 in x 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of (* x x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (* 0 0) into 0 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.396 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of 1/2 in x 0.396 * [backup-simplify]: Simplify 1/2 into 1/2 0.396 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.396 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.396 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (* x x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.397 * [backup-simplify]: Simplify (* 0 0) into 0 0.398 * [backup-simplify]: Simplify (+ 1 0) into 1 0.398 * [backup-simplify]: Simplify (sqrt 1) into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.401 * [backup-simplify]: Simplify 1/2 into 1/2 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.404 * [backup-simplify]: Simplify (+ 0 1) into 1 0.405 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.406 * [backup-simplify]: Simplify -1/4 into -1/4 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.418 * [backup-simplify]: Simplify 3/16 into 3/16 0.419 * [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))) 0.419 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.419 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of 1/2 in x 0.419 * [backup-simplify]: Simplify 1/2 into 1/2 0.419 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.419 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.419 * [taylor]: Taking taylor expansion of 1 in x 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of 1 in x 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [backup-simplify]: Simplify (sqrt 1) into 1 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.423 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.423 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of 1/2 in x 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.423 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.423 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (+ 0 1) into 1 0.424 * [backup-simplify]: Simplify (sqrt 1) into 1 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.426 * [backup-simplify]: Simplify 1/2 into 1/2 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.429 * [backup-simplify]: Simplify (+ 1 0) into 1 0.430 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.430 * [backup-simplify]: Simplify -1/4 into -1/4 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.440 * [backup-simplify]: Simplify 3/16 into 3/16 0.441 * [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)))) 0.441 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.441 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.441 * [taylor]: Taking taylor expansion of 1/2 in x 0.441 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.441 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.441 * [taylor]: Taking taylor expansion of -1 in x 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ -1 1) into -1 0.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.441 * [taylor]: Taking taylor expansion of -1 in x 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ -1 1) into -1 0.442 * [backup-simplify]: Simplify (* -1 -1) into 1 0.442 * [backup-simplify]: Simplify (+ 0 1) into 1 0.442 * [backup-simplify]: Simplify (sqrt 1) into 1 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.445 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.445 * [taylor]: Taking taylor expansion of 1/2 in x 0.445 * [backup-simplify]: Simplify 1/2 into 1/2 0.445 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.445 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.445 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.445 * [taylor]: Taking taylor expansion of 1 in x 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [taylor]: Taking taylor expansion of 1 in x 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.445 * [taylor]: Taking taylor expansion of -1 in x 0.445 * [backup-simplify]: Simplify -1 into -1 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ -1 1) into -1 0.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.445 * [taylor]: Taking taylor expansion of -1 in x 0.445 * [backup-simplify]: Simplify -1 into -1 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ -1 1) into -1 0.446 * [backup-simplify]: Simplify (* -1 -1) into 1 0.446 * [backup-simplify]: Simplify (+ 0 1) into 1 0.446 * [backup-simplify]: Simplify (sqrt 1) into 1 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.450 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.456 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.457 * [backup-simplify]: Simplify -1/4 into -1/4 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.472 * [backup-simplify]: Simplify 3/16 into 3/16 0.472 * [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)))) 0.472 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.473 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 x))) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.473 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.473 * [taylor]: Taking taylor expansion of 1/2 in x 0.473 * [backup-simplify]: Simplify 1/2 into 1/2 0.473 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.473 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.473 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.473 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.473 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of (* x x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (* 0 0) into 0 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.475 * [backup-simplify]: Simplify (sqrt 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of 1/2 in x 0.478 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of 1/2 in x 0.478 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.478 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.478 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.478 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.478 * [taylor]: Taking taylor expansion of 1 in x 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [taylor]: Taking taylor expansion of 1 in x 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [taylor]: Taking taylor expansion of (* x x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (* 0 0) into 0 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of 1/2 in x 0.482 * [backup-simplify]: Simplify 1/2 into 1/2 0.483 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.483 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.483 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.487 * [backup-simplify]: Simplify (+ 0 1) into 1 0.488 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.490 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.491 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.491 * [backup-simplify]: Simplify -1/4 into -1/4 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.506 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.507 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.507 * [backup-simplify]: Simplify 3/16 into 3/16 0.507 * [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))) 0.507 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.507 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.507 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.507 * [taylor]: Taking taylor expansion of 1/2 in x 0.507 * [backup-simplify]: Simplify 1/2 into 1/2 0.507 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.507 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.507 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.507 * [taylor]: Taking taylor expansion of 1 in x 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (+ 0 1) into 1 0.510 * [backup-simplify]: Simplify (sqrt 1) into 1 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [taylor]: Taking taylor expansion of 1/2 in x 0.513 * [backup-simplify]: Simplify 1/2 into 1/2 0.513 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.513 * [taylor]: Taking taylor expansion of 1/2 in x 0.513 * [backup-simplify]: Simplify 1/2 into 1/2 0.513 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.513 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.513 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.513 * [taylor]: Taking taylor expansion of 1 in x 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of 1 in x 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (+ 0 1) into 1 0.516 * [backup-simplify]: Simplify (sqrt 1) into 1 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [taylor]: Taking taylor expansion of 1/2 in x 0.519 * [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 0.520 * [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 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (+ 1 0) into 1 0.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.530 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.530 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.530 * [backup-simplify]: Simplify -1/4 into -1/4 0.530 * [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)))) 0.530 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.531 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.531 * [taylor]: Taking taylor expansion of 1/2 in x 0.531 * [backup-simplify]: Simplify 1/2 into 1/2 0.531 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.531 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.531 * [backup-simplify]: Simplify -1 into -1 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ -1 1) into -1 0.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.532 * [taylor]: Taking taylor expansion of -1 in x 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ -1 1) into -1 0.532 * [backup-simplify]: Simplify (* -1 -1) into 1 0.533 * [backup-simplify]: Simplify (+ 0 1) into 1 0.533 * [backup-simplify]: Simplify (sqrt 1) into 1 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [taylor]: Taking taylor expansion of 1/2 in x 0.537 * [backup-simplify]: Simplify 1/2 into 1/2 0.537 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of 1/2 in x 0.537 * [backup-simplify]: Simplify 1/2 into 1/2 0.537 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.537 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.537 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.537 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.538 * [taylor]: Taking taylor expansion of -1 in x 0.538 * [backup-simplify]: Simplify -1 into -1 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ -1 1) into -1 0.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.538 * [taylor]: Taking taylor expansion of -1 in x 0.538 * [backup-simplify]: Simplify -1 into -1 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (/ -1 1) into -1 0.539 * [backup-simplify]: Simplify (* -1 -1) into 1 0.540 * [backup-simplify]: Simplify (+ 0 1) into 1 0.540 * [backup-simplify]: Simplify (sqrt 1) into 1 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of 1/2 in x 0.544 * [backup-simplify]: Simplify 1/2 into 1/2 0.544 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.544 * [backup-simplify]: Simplify 1/2 into 1/2 0.545 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.545 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.545 * [backup-simplify]: Simplify 1/2 into 1/2 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.551 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.553 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.553 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.553 * [backup-simplify]: Simplify -1/4 into -1/4 0.553 * [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))) 0.553 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.553 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.553 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.553 * [taylor]: Taking taylor expansion of 1/2 in x 0.553 * [backup-simplify]: Simplify 1/2 into 1/2 0.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.554 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.554 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.554 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.554 * [taylor]: Taking taylor expansion of 1 in x 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of 1 in x 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of (* x x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (* 0 0) into 0 0.554 * [backup-simplify]: Simplify (+ 1 0) into 1 0.555 * [backup-simplify]: Simplify (sqrt 1) into 1 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of 1/2 in x 0.556 * [backup-simplify]: Simplify 1/2 into 1/2 0.557 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.557 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.557 * [backup-simplify]: Simplify (sqrt 1) into 1 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.559 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of 1/2 in x 0.559 * [backup-simplify]: Simplify 1/2 into 1/2 0.559 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.559 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.559 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.559 * [taylor]: Taking taylor expansion of 1 in x 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [taylor]: Taking taylor expansion of 1 in x 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [taylor]: Taking taylor expansion of (* x x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.560 * [backup-simplify]: Simplify (* 0 0) into 0 0.560 * [backup-simplify]: Simplify (+ 1 0) into 1 0.560 * [backup-simplify]: Simplify (sqrt 1) into 1 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [taylor]: Taking taylor expansion of 1/2 in x 0.563 * [backup-simplify]: Simplify 1/2 into 1/2 0.563 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.564 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.564 * [backup-simplify]: Simplify (sqrt 1) into 1 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.567 * [backup-simplify]: Simplify (+ 0 1) into 1 0.567 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.569 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.569 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.570 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.570 * [backup-simplify]: Simplify -1/8 into -1/8 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.579 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.580 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.581 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.581 * [backup-simplify]: Simplify 11/128 into 11/128 0.582 * [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))) 0.582 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.582 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.582 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.582 * [taylor]: Taking taylor expansion of 1/2 in x 0.582 * [backup-simplify]: Simplify 1/2 into 1/2 0.582 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.582 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.582 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.582 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.582 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.582 * [taylor]: Taking taylor expansion of 1 in x 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of 1 in x 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [backup-simplify]: Simplify (* 1 1) into 1 0.584 * [backup-simplify]: Simplify (+ 0 1) into 1 0.584 * [backup-simplify]: Simplify (sqrt 1) into 1 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of 1/2 in x 0.588 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.589 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.590 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.591 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.591 * [taylor]: Taking taylor expansion of 1/2 in x 0.591 * [backup-simplify]: Simplify 1/2 into 1/2 0.591 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.592 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.592 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.592 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.592 * [taylor]: Taking taylor expansion of 1 in x 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of 1 in x 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (/ 1 1) into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (+ 0 1) into 1 0.594 * [backup-simplify]: Simplify (sqrt 1) into 1 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of 1/2 in x 0.597 * [backup-simplify]: Simplify 1/2 into 1/2 0.598 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.598 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.599 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.599 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.601 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.601 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.602 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.611 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.614 * [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))))) 0.615 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.615 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.615 * [taylor]: Taking taylor expansion of 1/2 in x 0.615 * [backup-simplify]: Simplify 1/2 into 1/2 0.615 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.615 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.615 * [taylor]: Taking taylor expansion of 1 in x 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of 1 in x 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.615 * [taylor]: Taking taylor expansion of -1 in x 0.615 * [backup-simplify]: Simplify -1 into -1 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (/ -1 1) into -1 0.616 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.616 * [backup-simplify]: Simplify -1 into -1 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (/ -1 1) into -1 0.617 * [backup-simplify]: Simplify (* -1 -1) into 1 0.617 * [backup-simplify]: Simplify (+ 0 1) into 1 0.617 * [backup-simplify]: Simplify (sqrt 1) into 1 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [taylor]: Taking taylor expansion of 1/2 in x 0.622 * [backup-simplify]: Simplify 1/2 into 1/2 0.622 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.622 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.623 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.625 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.625 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.625 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of 1/2 in x 0.625 * [backup-simplify]: Simplify 1/2 into 1/2 0.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.625 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.625 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.625 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.625 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.625 * [taylor]: Taking taylor expansion of 1 in x 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of 1 in x 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [backup-simplify]: Simplify -1 into -1 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (/ -1 1) into -1 0.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.626 * [taylor]: Taking taylor expansion of -1 in x 0.626 * [backup-simplify]: Simplify -1 into -1 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ -1 1) into -1 0.627 * [backup-simplify]: Simplify (* -1 -1) into 1 0.628 * [backup-simplify]: Simplify (+ 0 1) into 1 0.628 * [backup-simplify]: Simplify (sqrt 1) into 1 0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of 1/2 in x 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.633 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.633 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.634 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.636 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.636 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.637 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.646 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.649 * [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)))))) 0.650 * * * [progress]: simplifying candidates 0.650 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 0.650 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 0.651 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 0.652 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.653 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 0.653 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 58 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 0.654 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.655 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 0.655 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #real (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.656 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 0.656 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.657 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 0.657 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 0.658 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 0.658 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 0.658 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 0.658 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 0.658 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 0.658 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 0.658 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 0.661 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 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1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 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(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)))) (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (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)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (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)))) (sqrt (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3))) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 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))))) (- (+ (* 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)))))) 0.665 * * [simplify]: iteration 1: (213 enodes) 0.861 * * [simplify]: iteration 2: (488 enodes) 1.175 * * [simplify]: iteration 3: (1146 enodes) 2.708 * * [simplify]: Extracting #0: cost 94 inf + 0 2.709 * * [simplify]: Extracting #1: cost 397 inf + 44 2.714 * * [simplify]: Extracting #2: cost 552 inf + 2502 2.730 * * [simplify]: Extracting #3: cost 344 inf + 36966 2.752 * * [simplify]: Extracting #4: cost 189 inf + 75906 2.780 * * [simplify]: Extracting #5: cost 48 inf + 119417 2.814 * * [simplify]: Extracting #6: cost 2 inf + 138067 2.865 * * [simplify]: Extracting #7: cost 0 inf + 138818 2.895 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (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))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (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 (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 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4) (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (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))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 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 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 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 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128)))) (+ (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) (- (- 1 (sqrt 1/2)) (/ (/ 1/4 x) (sqrt 1/2)))) (+ 1 (+ (/ (/ 1/4 x) (sqrt 1/2)) (- (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) (sqrt 1/2)))) (fma (* x x) -1/4 (fma (* (* x x) (* x x)) 3/16 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ (/ 1/4 x) (* x 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) (/ (/ 1/4 x) (* x x))) 1/2) (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) (fma (* x x) -1/8 (fma 11/128 (* (* x x) (* x x)) 1)) (+ (/ (/ 1/4 x) (sqrt 1/2)) (- (sqrt 1/2) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))))) (+ (/ -1/4 (* (sqrt 1/2) x)) (+ (sqrt 1/2) (/ -1/32 (* (* 1/2 (sqrt 1/2)) (* x x))))) 2.903 * * * [progress]: adding candidates to table 3.338 * * [progress]: iteration 2 / 4 3.338 * * * [progress]: picking best candidate 3.344 * * * * [pick]: Picked # 3.344 * * * [progress]: localizing error 3.376 * * * [progress]: generating rewritten candidates 3.376 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.383 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 3.390 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 3.397 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.421 * * * [progress]: generating series expansions 3.421 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.421 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 3.421 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 3.421 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.421 * [taylor]: Taking taylor expansion of 1/2 in x 3.421 * [backup-simplify]: Simplify 1/2 into 1/2 3.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.421 * [taylor]: Taking taylor expansion of 1/2 in x 3.421 * [backup-simplify]: Simplify 1/2 into 1/2 3.421 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.421 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.421 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.421 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.421 * [taylor]: Taking taylor expansion of 1 in x 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [taylor]: Taking taylor expansion of 1 in x 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [taylor]: Taking taylor expansion of (* x x) in x 3.421 * [taylor]: Taking taylor expansion of x in x 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [taylor]: Taking taylor expansion of x in x 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (* 1 1) into 1 3.422 * [backup-simplify]: Simplify (* 0 0) into 0 3.422 * [backup-simplify]: Simplify (+ 1 0) into 1 3.423 * [backup-simplify]: Simplify (sqrt 1) into 1 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.424 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.424 * [backup-simplify]: Simplify (+ 0 0) into 0 3.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.424 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.425 * [taylor]: Taking taylor expansion of 1/2 in x 3.425 * [backup-simplify]: Simplify 1/2 into 1/2 3.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.425 * [taylor]: Taking taylor expansion of 1/2 in x 3.425 * [backup-simplify]: Simplify 1/2 into 1/2 3.425 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.425 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.425 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.425 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.425 * [taylor]: Taking taylor expansion of 1 in x 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [taylor]: Taking taylor expansion of 1 in x 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [taylor]: Taking taylor expansion of (* x x) in x 3.425 * [taylor]: Taking taylor expansion of x in x 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [taylor]: Taking taylor expansion of x in x 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* 1 1) into 1 3.425 * [backup-simplify]: Simplify (* 0 0) into 0 3.426 * [backup-simplify]: Simplify (+ 1 0) into 1 3.426 * [backup-simplify]: Simplify (sqrt 1) into 1 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.431 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.432 * [backup-simplify]: Simplify (/ 1 1) into 1 3.432 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.432 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.433 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.435 * [backup-simplify]: Simplify (+ 0 1) into 1 3.436 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.437 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.438 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.438 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.438 * [backup-simplify]: Simplify 1/4 into 1/4 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.440 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (- 0) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.453 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.453 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.454 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.454 * [backup-simplify]: Simplify -3/16 into -3/16 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.457 * [backup-simplify]: Simplify (+ 0 0) into 0 3.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.463 * [backup-simplify]: Simplify (- 0) into 0 3.463 * [backup-simplify]: Simplify (+ 0 0) into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.466 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 3.470 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.470 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.470 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.470 * [backup-simplify]: Simplify 5/32 into 5/32 3.471 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 3.471 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 3.471 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.471 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.471 * [taylor]: Taking taylor expansion of 1/2 in x 3.471 * [backup-simplify]: Simplify 1/2 into 1/2 3.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.471 * [taylor]: Taking taylor expansion of 1/2 in x 3.471 * [backup-simplify]: Simplify 1/2 into 1/2 3.471 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.471 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.471 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.471 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.471 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.471 * [taylor]: Taking taylor expansion of 1 in x 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [taylor]: Taking taylor expansion of 1 in x 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.471 * [taylor]: Taking taylor expansion of x in x 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (/ 1 1) into 1 3.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.471 * [taylor]: Taking taylor expansion of x in x 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (/ 1 1) into 1 3.472 * [backup-simplify]: Simplify (* 1 1) into 1 3.473 * [backup-simplify]: Simplify (+ 0 1) into 1 3.473 * [backup-simplify]: Simplify (sqrt 1) into 1 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.475 * [backup-simplify]: Simplify (+ 0 0) into 0 3.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.477 * [backup-simplify]: Simplify (/ 1 1) into 1 3.477 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.477 * [taylor]: Taking taylor expansion of 1/2 in x 3.477 * [backup-simplify]: Simplify 1/2 into 1/2 3.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.477 * [taylor]: Taking taylor expansion of 1/2 in x 3.477 * [backup-simplify]: Simplify 1/2 into 1/2 3.477 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.477 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.477 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.477 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.477 * [taylor]: Taking taylor expansion of 1 in x 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of 1 in x 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.477 * [taylor]: Taking taylor expansion of x in x 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (/ 1 1) into 1 3.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (/ 1 1) into 1 3.479 * [backup-simplify]: Simplify (* 1 1) into 1 3.479 * [backup-simplify]: Simplify (+ 0 1) into 1 3.479 * [backup-simplify]: Simplify (sqrt 1) into 1 3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.483 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.483 * [backup-simplify]: Simplify 1/2 into 1/2 3.483 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.483 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.484 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.484 * [backup-simplify]: Simplify -1/2 into -1/2 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.486 * [backup-simplify]: Simplify (- 0) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.490 * [backup-simplify]: Simplify (+ 1 0) into 1 3.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.493 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.493 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.494 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.494 * [backup-simplify]: Simplify 1/4 into 1/4 3.494 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 3.494 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 3.494 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 3.495 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.495 * [taylor]: Taking taylor expansion of 1/2 in x 3.495 * [backup-simplify]: Simplify 1/2 into 1/2 3.495 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.495 * [taylor]: Taking taylor expansion of 1/2 in x 3.495 * [backup-simplify]: Simplify 1/2 into 1/2 3.495 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.495 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.495 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.495 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.495 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.495 * [taylor]: Taking taylor expansion of 1 in x 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [taylor]: Taking taylor expansion of 1 in x 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.495 * [taylor]: Taking taylor expansion of -1 in x 3.495 * [backup-simplify]: Simplify -1 into -1 3.495 * [taylor]: Taking taylor expansion of x in x 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (/ -1 1) into -1 3.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.496 * [taylor]: Taking taylor expansion of -1 in x 3.496 * [backup-simplify]: Simplify -1 into -1 3.496 * [taylor]: Taking taylor expansion of x in x 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (/ -1 1) into -1 3.497 * [backup-simplify]: Simplify (* -1 -1) into 1 3.497 * [backup-simplify]: Simplify (+ 0 1) into 1 3.497 * [backup-simplify]: Simplify (sqrt 1) into 1 3.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.500 * [backup-simplify]: Simplify (+ 0 0) into 0 3.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.500 * [backup-simplify]: Simplify (/ 1 1) into 1 3.500 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.500 * [taylor]: Taking taylor expansion of 1/2 in x 3.500 * [backup-simplify]: Simplify 1/2 into 1/2 3.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.500 * [taylor]: Taking taylor expansion of 1/2 in x 3.500 * [backup-simplify]: Simplify 1/2 into 1/2 3.500 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.500 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.500 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.501 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.501 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.501 * [taylor]: Taking taylor expansion of 1 in x 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [taylor]: Taking taylor expansion of 1 in x 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.501 * [taylor]: Taking taylor expansion of -1 in x 3.501 * [backup-simplify]: Simplify -1 into -1 3.501 * [taylor]: Taking taylor expansion of x in x 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (/ -1 1) into -1 3.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.501 * [taylor]: Taking taylor expansion of -1 in x 3.501 * [backup-simplify]: Simplify -1 into -1 3.501 * [taylor]: Taking taylor expansion of x in x 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (/ -1 1) into -1 3.502 * [backup-simplify]: Simplify (* -1 -1) into 1 3.502 * [backup-simplify]: Simplify (+ 0 1) into 1 3.502 * [backup-simplify]: Simplify (sqrt 1) into 1 3.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.504 * [backup-simplify]: Simplify (/ 1 1) into 1 3.505 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.505 * [backup-simplify]: Simplify 1/2 into 1/2 3.505 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.505 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.506 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.506 * [backup-simplify]: Simplify -1/2 into -1/2 3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify (- 0) into 0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.509 * [backup-simplify]: Simplify (+ 1 0) into 1 3.510 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.511 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.511 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.512 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.512 * [backup-simplify]: Simplify 1/4 into 1/4 3.512 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 3.512 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 3.512 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.512 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.512 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.512 * [taylor]: Taking taylor expansion of 1/2 in x 3.512 * [backup-simplify]: Simplify 1/2 into 1/2 3.512 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.512 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.512 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.512 * [taylor]: Taking taylor expansion of 1 in x 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of 1 in x 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of (* x x) in x 3.512 * [taylor]: Taking taylor expansion of x in x 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of x in x 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (* 1 1) into 1 3.513 * [backup-simplify]: Simplify (* 0 0) into 0 3.513 * [backup-simplify]: Simplify (+ 1 0) into 1 3.513 * [backup-simplify]: Simplify (sqrt 1) into 1 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.514 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.515 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.515 * [taylor]: Taking taylor expansion of 1/2 in x 3.515 * [backup-simplify]: Simplify 1/2 into 1/2 3.515 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.515 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.515 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.515 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.515 * [taylor]: Taking taylor expansion of 1 in x 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [taylor]: Taking taylor expansion of 1 in x 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [taylor]: Taking taylor expansion of (* x x) in x 3.515 * [taylor]: Taking taylor expansion of x in x 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [taylor]: Taking taylor expansion of x in x 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (* 1 1) into 1 3.516 * [backup-simplify]: Simplify (* 0 0) into 0 3.516 * [backup-simplify]: Simplify (+ 1 0) into 1 3.516 * [backup-simplify]: Simplify (sqrt 1) into 1 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.517 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.518 * [backup-simplify]: Simplify 1/2 into 1/2 3.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.520 * [backup-simplify]: Simplify (+ 0 1) into 1 3.521 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.521 * [backup-simplify]: Simplify -1/4 into -1/4 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.529 * [backup-simplify]: Simplify (+ 0 0) into 0 3.531 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.533 * [backup-simplify]: Simplify 3/16 into 3/16 3.533 * [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))) 3.533 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.534 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.534 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.534 * [taylor]: Taking taylor expansion of 1/2 in x 3.534 * [backup-simplify]: Simplify 1/2 into 1/2 3.534 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.534 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.534 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.534 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.534 * [taylor]: Taking taylor expansion of 1 in x 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [taylor]: Taking taylor expansion of 1 in x 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ 1 1) into 1 3.536 * [backup-simplify]: Simplify (* 1 1) into 1 3.536 * [backup-simplify]: Simplify (+ 0 1) into 1 3.536 * [backup-simplify]: Simplify (sqrt 1) into 1 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.539 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.540 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.540 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.540 * [taylor]: Taking taylor expansion of 1/2 in x 3.540 * [backup-simplify]: Simplify 1/2 into 1/2 3.540 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.541 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.541 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.541 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.541 * [taylor]: Taking taylor expansion of 1 in x 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [taylor]: Taking taylor expansion of 1 in x 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.541 * [taylor]: Taking taylor expansion of x in x 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.541 * [taylor]: Taking taylor expansion of x in x 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (/ 1 1) into 1 3.542 * [backup-simplify]: Simplify (* 1 1) into 1 3.543 * [backup-simplify]: Simplify (+ 0 1) into 1 3.543 * [backup-simplify]: Simplify (sqrt 1) into 1 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.546 * [backup-simplify]: Simplify (+ 0 0) into 0 3.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.549 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.550 * [backup-simplify]: Simplify 1/2 into 1/2 3.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (* 1 1) into 1 3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.555 * [backup-simplify]: Simplify (+ 1 0) into 1 3.556 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.557 * [backup-simplify]: Simplify -1/4 into -1/4 3.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.566 * [backup-simplify]: Simplify 3/16 into 3/16 3.566 * [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)))) 3.567 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.567 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.567 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.567 * [taylor]: Taking taylor expansion of 1/2 in x 3.567 * [backup-simplify]: Simplify 1/2 into 1/2 3.567 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.567 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.567 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.567 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.567 * [taylor]: Taking taylor expansion of 1 in x 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [taylor]: Taking taylor expansion of 1 in x 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.567 * [taylor]: Taking taylor expansion of -1 in x 3.567 * [backup-simplify]: Simplify -1 into -1 3.567 * [taylor]: Taking taylor expansion of x in x 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ -1 1) into -1 3.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.567 * [taylor]: Taking taylor expansion of -1 in x 3.567 * [backup-simplify]: Simplify -1 into -1 3.567 * [taylor]: Taking taylor expansion of x in x 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.568 * [backup-simplify]: Simplify (/ -1 1) into -1 3.568 * [backup-simplify]: Simplify (* -1 -1) into 1 3.568 * [backup-simplify]: Simplify (+ 0 1) into 1 3.568 * [backup-simplify]: Simplify (sqrt 1) into 1 3.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.570 * [backup-simplify]: Simplify (+ 0 0) into 0 3.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.571 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.571 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.571 * [taylor]: Taking taylor expansion of 1/2 in x 3.571 * [backup-simplify]: Simplify 1/2 into 1/2 3.571 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.571 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.571 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.571 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.571 * [taylor]: Taking taylor expansion of 1 in x 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [taylor]: Taking taylor expansion of 1 in x 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.571 * [taylor]: Taking taylor expansion of -1 in x 3.571 * [backup-simplify]: Simplify -1 into -1 3.571 * [taylor]: Taking taylor expansion of x in x 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [backup-simplify]: Simplify (/ -1 1) into -1 3.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.571 * [taylor]: Taking taylor expansion of -1 in x 3.571 * [backup-simplify]: Simplify -1 into -1 3.571 * [taylor]: Taking taylor expansion of x in x 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (/ -1 1) into -1 3.572 * [backup-simplify]: Simplify (* -1 -1) into 1 3.572 * [backup-simplify]: Simplify (+ 0 1) into 1 3.573 * [backup-simplify]: Simplify (sqrt 1) into 1 3.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.575 * [backup-simplify]: Simplify 1/2 into 1/2 3.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify (* 1 1) into 1 3.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.579 * [backup-simplify]: Simplify (+ 1 0) into 1 3.579 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.580 * [backup-simplify]: Simplify -1/4 into -1/4 3.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.583 * [backup-simplify]: Simplify (+ 0 0) into 0 3.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.587 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.589 * [backup-simplify]: Simplify 3/16 into 3/16 3.589 * [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)))) 3.589 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 3.589 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.589 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.589 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.589 * [taylor]: Taking taylor expansion of 1/2 in x 3.589 * [backup-simplify]: Simplify 1/2 into 1/2 3.589 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.589 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.589 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.589 * [taylor]: Taking taylor expansion of 1 in x 3.589 * [backup-simplify]: Simplify 1 into 1 3.589 * [taylor]: Taking taylor expansion of 1 in x 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [taylor]: Taking taylor expansion of (* x x) in x 3.590 * [taylor]: Taking taylor expansion of x in x 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [taylor]: Taking taylor expansion of x in x 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify (* 1 1) into 1 3.590 * [backup-simplify]: Simplify (* 0 0) into 0 3.590 * [backup-simplify]: Simplify (+ 1 0) into 1 3.591 * [backup-simplify]: Simplify (sqrt 1) into 1 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.591 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.592 * [backup-simplify]: Simplify (+ 0 0) into 0 3.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.592 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.592 * [taylor]: Taking taylor expansion of 1/2 in x 3.593 * [backup-simplify]: Simplify 1/2 into 1/2 3.593 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.593 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.593 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.593 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.593 * [taylor]: Taking taylor expansion of 1 in x 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [taylor]: Taking taylor expansion of 1 in x 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [taylor]: Taking taylor expansion of (* x x) in x 3.593 * [taylor]: Taking taylor expansion of x in x 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [taylor]: Taking taylor expansion of x in x 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (* 1 1) into 1 3.593 * [backup-simplify]: Simplify (* 0 0) into 0 3.594 * [backup-simplify]: Simplify (+ 1 0) into 1 3.594 * [backup-simplify]: Simplify (sqrt 1) into 1 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.596 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.596 * [backup-simplify]: Simplify 1/2 into 1/2 3.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.598 * [backup-simplify]: Simplify (+ 0 1) into 1 3.598 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.599 * [backup-simplify]: Simplify -1/4 into -1/4 3.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.612 * [backup-simplify]: Simplify 3/16 into 3/16 3.612 * [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))) 3.612 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.612 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.612 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.612 * [taylor]: Taking taylor expansion of 1/2 in x 3.612 * [backup-simplify]: Simplify 1/2 into 1/2 3.612 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.613 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.613 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.613 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.613 * [taylor]: Taking taylor expansion of 1 in x 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of 1 in x 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.613 * [taylor]: Taking taylor expansion of x in x 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (/ 1 1) into 1 3.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.613 * [taylor]: Taking taylor expansion of x in x 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [backup-simplify]: Simplify (* 1 1) into 1 3.615 * [backup-simplify]: Simplify (+ 0 1) into 1 3.615 * [backup-simplify]: Simplify (sqrt 1) into 1 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.618 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.619 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.619 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.619 * [taylor]: Taking taylor expansion of 1/2 in x 3.619 * [backup-simplify]: Simplify 1/2 into 1/2 3.619 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.619 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.619 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.619 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.619 * [taylor]: Taking taylor expansion of 1 in x 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of 1 in x 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.620 * [backup-simplify]: Simplify (/ 1 1) into 1 3.620 * [backup-simplify]: Simplify (* 1 1) into 1 3.620 * [backup-simplify]: Simplify (+ 0 1) into 1 3.620 * [backup-simplify]: Simplify (sqrt 1) into 1 3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.622 * [backup-simplify]: Simplify (+ 0 0) into 0 3.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.623 * [backup-simplify]: Simplify 1/2 into 1/2 3.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (* 1 1) into 1 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.625 * [backup-simplify]: Simplify (+ 1 0) into 1 3.626 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.627 * [backup-simplify]: Simplify -1/4 into -1/4 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.635 * [backup-simplify]: Simplify 3/16 into 3/16 3.636 * [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)))) 3.636 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.636 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.636 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.636 * [taylor]: Taking taylor expansion of 1/2 in x 3.636 * [backup-simplify]: Simplify 1/2 into 1/2 3.636 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.636 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.636 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.636 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.636 * [taylor]: Taking taylor expansion of 1 in x 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of 1 in x 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.636 * [taylor]: Taking taylor expansion of -1 in x 3.636 * [backup-simplify]: Simplify -1 into -1 3.636 * [taylor]: Taking taylor expansion of x in x 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (/ -1 1) into -1 3.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.636 * [taylor]: Taking taylor expansion of -1 in x 3.636 * [backup-simplify]: Simplify -1 into -1 3.636 * [taylor]: Taking taylor expansion of x in x 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (/ -1 1) into -1 3.637 * [backup-simplify]: Simplify (* -1 -1) into 1 3.637 * [backup-simplify]: Simplify (+ 0 1) into 1 3.638 * [backup-simplify]: Simplify (sqrt 1) into 1 3.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.639 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.640 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.640 * [taylor]: Taking taylor expansion of 1/2 in x 3.640 * [backup-simplify]: Simplify 1/2 into 1/2 3.640 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.640 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.640 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.640 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.640 * [taylor]: Taking taylor expansion of 1 in x 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [taylor]: Taking taylor expansion of 1 in x 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.640 * [taylor]: Taking taylor expansion of -1 in x 3.640 * [backup-simplify]: Simplify -1 into -1 3.640 * [taylor]: Taking taylor expansion of x in x 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (/ -1 1) into -1 3.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.641 * [taylor]: Taking taylor expansion of -1 in x 3.641 * [backup-simplify]: Simplify -1 into -1 3.641 * [taylor]: Taking taylor expansion of x in x 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (/ -1 1) into -1 3.641 * [backup-simplify]: Simplify (* -1 -1) into 1 3.642 * [backup-simplify]: Simplify (+ 0 1) into 1 3.642 * [backup-simplify]: Simplify (sqrt 1) into 1 3.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.643 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.643 * [backup-simplify]: Simplify (+ 0 0) into 0 3.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.644 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.644 * [backup-simplify]: Simplify 1/2 into 1/2 3.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (* 1 1) into 1 3.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.647 * [backup-simplify]: Simplify (+ 1 0) into 1 3.648 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.648 * [backup-simplify]: Simplify -1/4 into -1/4 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.653 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.661 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.665 * [backup-simplify]: Simplify 3/16 into 3/16 3.665 * [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)))) 3.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.665 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 3.665 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 3.665 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.665 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.665 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.666 * [taylor]: Taking taylor expansion of 1/2 in x 3.666 * [backup-simplify]: Simplify 1/2 into 1/2 3.666 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.666 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.666 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.666 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.666 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.666 * [taylor]: Taking taylor expansion of 1 in x 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [taylor]: Taking taylor expansion of 1 in x 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [taylor]: Taking taylor expansion of (* x x) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [taylor]: Taking taylor expansion of x in x 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (* 1 1) into 1 3.667 * [backup-simplify]: Simplify (* 0 0) into 0 3.667 * [backup-simplify]: Simplify (+ 1 0) into 1 3.668 * [backup-simplify]: Simplify (sqrt 1) into 1 3.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.669 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.669 * [backup-simplify]: Simplify (+ 0 0) into 0 3.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [taylor]: Taking taylor expansion of 1/2 in x 3.671 * [backup-simplify]: Simplify 1/2 into 1/2 3.671 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.671 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.672 * [backup-simplify]: Simplify (sqrt 1) into 1 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.674 * [backup-simplify]: Simplify (+ 0 0) into 0 3.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.674 * [taylor]: Taking taylor expansion of 1 in x 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.674 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.674 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.674 * [taylor]: Taking taylor expansion of 1/2 in x 3.674 * [backup-simplify]: Simplify 1/2 into 1/2 3.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.675 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.675 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.675 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.675 * [taylor]: Taking taylor expansion of 1 in x 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of 1 in x 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of (* x x) in x 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (* 1 1) into 1 3.676 * [backup-simplify]: Simplify (* 0 0) into 0 3.676 * [backup-simplify]: Simplify (+ 1 0) into 1 3.676 * [backup-simplify]: Simplify (sqrt 1) into 1 3.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.678 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.679 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [taylor]: Taking taylor expansion of 1/2 in x 3.679 * [backup-simplify]: Simplify 1/2 into 1/2 3.680 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.680 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.680 * [backup-simplify]: Simplify (sqrt 1) into 1 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.683 * [taylor]: Taking taylor expansion of 1 in x 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (+ 1 1) into 2 3.683 * [backup-simplify]: Simplify 2 into 2 3.684 * [backup-simplify]: Simplify (+ 0 0) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.686 * [backup-simplify]: Simplify (+ 0 1) into 1 3.688 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.690 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.690 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.691 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.692 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.692 * [backup-simplify]: Simplify -1/8 into -1/8 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.700 * [backup-simplify]: Simplify (+ 0 0) into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.708 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.709 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.711 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.711 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 3.711 * [backup-simplify]: Simplify 11/128 into 11/128 3.712 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 3.712 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 3.712 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 3.712 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.712 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.712 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.712 * [taylor]: Taking taylor expansion of 1/2 in x 3.712 * [backup-simplify]: Simplify 1/2 into 1/2 3.712 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.712 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.712 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.712 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.712 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.712 * [taylor]: Taking taylor expansion of 1 in x 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [taylor]: Taking taylor expansion of 1 in x 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.712 * [taylor]: Taking taylor expansion of x in x 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.713 * [taylor]: Taking taylor expansion of x in x 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [backup-simplify]: Simplify (* 1 1) into 1 3.714 * [backup-simplify]: Simplify (+ 0 1) into 1 3.715 * [backup-simplify]: Simplify (sqrt 1) into 1 3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.717 * [backup-simplify]: Simplify (+ 0 0) into 0 3.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.719 * [backup-simplify]: Simplify (/ 1 1) into 1 3.719 * [taylor]: Taking taylor expansion of 1/2 in x 3.719 * [backup-simplify]: Simplify 1/2 into 1/2 3.719 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.720 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.720 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.721 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.722 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.722 * [taylor]: Taking taylor expansion of 1 in x 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.722 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.722 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.723 * [taylor]: Taking taylor expansion of 1/2 in x 3.723 * [backup-simplify]: Simplify 1/2 into 1/2 3.723 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.723 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.723 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.723 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.723 * [taylor]: Taking taylor expansion of 1 in x 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [taylor]: Taking taylor expansion of 1 in x 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [backup-simplify]: Simplify (* 1 1) into 1 3.725 * [backup-simplify]: Simplify (+ 0 1) into 1 3.725 * [backup-simplify]: Simplify (sqrt 1) into 1 3.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.728 * [backup-simplify]: Simplify (+ 0 0) into 0 3.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.729 * [backup-simplify]: Simplify (/ 1 1) into 1 3.729 * [taylor]: Taking taylor expansion of 1/2 in x 3.729 * [backup-simplify]: Simplify 1/2 into 1/2 3.729 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.729 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.730 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.730 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.732 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.732 * [taylor]: Taking taylor expansion of 1 in x 3.732 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.734 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.735 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.737 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.746 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.751 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.756 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 3.756 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 3.757 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 3.757 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.757 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.757 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.757 * [taylor]: Taking taylor expansion of 1/2 in x 3.757 * [backup-simplify]: Simplify 1/2 into 1/2 3.757 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.757 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.757 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.757 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.757 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.757 * [taylor]: Taking taylor expansion of 1 in x 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [taylor]: Taking taylor expansion of 1 in x 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.757 * [taylor]: Taking taylor expansion of -1 in x 3.757 * [backup-simplify]: Simplify -1 into -1 3.757 * [taylor]: Taking taylor expansion of x in x 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.758 * [backup-simplify]: Simplify (/ -1 1) into -1 3.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.758 * [taylor]: Taking taylor expansion of -1 in x 3.758 * [backup-simplify]: Simplify -1 into -1 3.758 * [taylor]: Taking taylor expansion of x in x 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [backup-simplify]: Simplify (/ -1 1) into -1 3.759 * [backup-simplify]: Simplify (* -1 -1) into 1 3.759 * [backup-simplify]: Simplify (+ 0 1) into 1 3.759 * [backup-simplify]: Simplify (sqrt 1) into 1 3.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.763 * [backup-simplify]: Simplify (/ 1 1) into 1 3.763 * [taylor]: Taking taylor expansion of 1/2 in x 3.763 * [backup-simplify]: Simplify 1/2 into 1/2 3.764 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.764 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.765 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.765 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.767 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.767 * [taylor]: Taking taylor expansion of 1 in x 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.767 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.767 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.767 * [taylor]: Taking taylor expansion of 1/2 in x 3.767 * [backup-simplify]: Simplify 1/2 into 1/2 3.767 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.767 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.767 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.767 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.767 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.767 * [taylor]: Taking taylor expansion of 1 in x 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [taylor]: Taking taylor expansion of 1 in x 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.767 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.767 * [taylor]: Taking taylor expansion of -1 in x 3.767 * [backup-simplify]: Simplify -1 into -1 3.767 * [taylor]: Taking taylor expansion of x in x 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (/ -1 1) into -1 3.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.768 * [taylor]: Taking taylor expansion of -1 in x 3.768 * [backup-simplify]: Simplify -1 into -1 3.768 * [taylor]: Taking taylor expansion of x in x 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (/ -1 1) into -1 3.769 * [backup-simplify]: Simplify (* -1 -1) into 1 3.769 * [backup-simplify]: Simplify (+ 0 1) into 1 3.769 * [backup-simplify]: Simplify (sqrt 1) into 1 3.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.772 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.773 * [backup-simplify]: Simplify (/ 1 1) into 1 3.773 * [taylor]: Taking taylor expansion of 1/2 in x 3.773 * [backup-simplify]: Simplify 1/2 into 1/2 3.773 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.773 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.773 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.774 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.775 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.775 * [taylor]: Taking taylor expansion of 1 in x 3.775 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.776 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.777 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.778 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.782 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.784 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.788 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.791 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 3.791 * * * [progress]: simplifying candidates 3.791 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 3.791 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 3.791 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 3.792 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 3.792 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 3.792 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 3.792 * * * * [progress]: [ 7 / 152 ] simplifiying 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/ 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 3.793 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 60 / 152 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 3.794 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 3.794 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 79 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 90 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 3.795 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 3.795 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 3.796 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 3.796 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 3.796 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 3.796 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 3.796 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 3.796 * 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152 ] simplifiying candidate # 3.796 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 3.796 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 3.796 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 120 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 3.797 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 139 / 152 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))> 3.797 * * * * [progress]: [ 140 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 3.797 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 3.798 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 3.798 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 3.798 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 3.798 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 3.798 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 3.798 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 3.798 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 3.798 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 3.800 * [simplify]: Simplifying: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 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(hypot 1 x)))) 3)) (+ (* 1 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (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))))) (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 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)))) (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 3.806 * * [simplify]: iteration 1: (247 enodes) 4.032 * * [simplify]: iteration 2: (618 enodes) 4.992 * * [simplify]: iteration 3: (1665 enodes) 8.492 * * [simplify]: Extracting #0: cost 80 inf + 0 8.493 * * [simplify]: Extracting #1: cost 546 inf + 44 8.498 * * [simplify]: Extracting #2: cost 887 inf + 16182 8.521 * * [simplify]: Extracting #3: cost 477 inf + 116930 8.588 * * [simplify]: Extracting #4: cost 69 inf + 228607 8.658 * * [simplify]: Extracting #5: cost 8 inf + 247708 8.707 * * [simplify]: Extracting #6: cost 0 inf + 249923 8.770 * [simplify]: Simplified to: (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (/ -1/2 (hypot 1 x)) (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (/ 1/2 (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))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (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 (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (/ 1/2 (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))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (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 (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (log1p (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (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)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (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) (real->posit16 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (* (* x x) (* x x)) -3/16 (fma 5/32 (* (* x x) (* (* x x) (* x x))) (* 1/4 (* x x)))) (+ (- 1/2 (/ 1/2 x)) (/ (/ 1/4 x) (* x x))) (+ (- 1/2 (/ (/ 1/4 x) (* x x))) (/ 1/2 x)) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ (/ 1/4 x) (* x x)))) (- (- (/ (/ 1/4 x) (* x x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ (/ 1/4 x) (* x x)))) (- (- (/ (/ 1/4 x) (* x x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma -1/8 (* x x) (fma 11/128 (* (* x x) (* x x)) 2)) (+ (/ (/ 1/4 x) (sqrt 1/2)) (+ (sqrt 1/2) (+ (/ -1/32 (* (* x x) (* 1/2 (sqrt 1/2)))) 1))) (- (+ (sqrt 1/2) (- 1 (/ (/ 1/4 x) (sqrt 1/2)))) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) 8.784 * * * [progress]: adding candidates to table 9.319 * * [progress]: iteration 3 / 4 9.319 * * * [progress]: picking best candidate 9.327 * * * * [pick]: Picked # 9.328 * * * [progress]: localizing error 9.352 * * * [progress]: generating rewritten candidates 9.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.357 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 9.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 9.381 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 9.386 * * * [progress]: generating series expansions 9.386 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.386 * [backup-simplify]: Simplify (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) into (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 x))) 9.386 * [approximate]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 x))) in (x) around 0 9.386 * [taylor]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 x))) in x 9.387 * [taylor]: Taking taylor expansion of 1/2 in x 9.387 * [backup-simplify]: Simplify 1/2 into 1/2 9.387 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 x)) in x 9.387 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.387 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.387 * [taylor]: Taking taylor expansion of 1/2 in x 9.387 * [backup-simplify]: Simplify 1/2 into 1/2 9.388 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.388 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.388 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.388 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.389 * [taylor]: Taking taylor expansion of 1 in x 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [taylor]: Taking taylor expansion of 1 in x 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [taylor]: Taking taylor expansion of (* x x) in x 9.389 * [taylor]: Taking taylor expansion of x in x 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [taylor]: Taking taylor expansion of x in x 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [backup-simplify]: Simplify (* 1 1) into 1 9.389 * [backup-simplify]: Simplify (* 0 0) into 0 9.390 * [backup-simplify]: Simplify (+ 1 0) into 1 9.390 * [backup-simplify]: Simplify (sqrt 1) into 1 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.391 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.391 * [backup-simplify]: Simplify (+ 0 0) into 0 9.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.393 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.394 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.394 * [taylor]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 x))) in x 9.394 * [taylor]: Taking taylor expansion of 1/2 in x 9.394 * [backup-simplify]: Simplify 1/2 into 1/2 9.394 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 x)) in x 9.394 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.394 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.394 * [taylor]: Taking taylor expansion of 1/2 in x 9.394 * [backup-simplify]: Simplify 1/2 into 1/2 9.394 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.394 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.395 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.395 * [taylor]: Taking taylor expansion of 1 in x 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [taylor]: Taking taylor expansion of 1 in x 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [taylor]: Taking taylor expansion of (* x x) in x 9.395 * [taylor]: Taking taylor expansion of x in x 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [taylor]: Taking taylor expansion of x in x 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [backup-simplify]: Simplify (* 1 1) into 1 9.395 * [backup-simplify]: Simplify (* 0 0) into 0 9.396 * [backup-simplify]: Simplify (+ 1 0) into 1 9.396 * [backup-simplify]: Simplify (sqrt 1) into 1 9.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.397 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.397 * [backup-simplify]: Simplify (+ 0 0) into 0 9.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.398 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.400 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.401 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 9.403 * [backup-simplify]: Simplify (+ 1/2 (- (pow (sqrt 1/2) 2))) into (- 1/2 (pow (sqrt 1/2) 2)) 9.405 * [backup-simplify]: Simplify (- 1/2 (pow (sqrt 1/2) 2)) into (- 1/2 (pow (sqrt 1/2) 2)) 9.406 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 9.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 9.407 * [backup-simplify]: Simplify (- 0) into 0 9.407 * [backup-simplify]: Simplify (+ 0 0) into 0 9.408 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.410 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.412 * [backup-simplify]: Simplify (+ 0 1) into 1 9.412 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 1/2 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.421 * [backup-simplify]: Simplify (- (- (* 1/2 (pow (sqrt 1/2) 2)))) into (* 1/2 (pow (sqrt 1/2) 2)) 9.423 * [backup-simplify]: Simplify (+ 0 (* 1/2 (pow (sqrt 1/2) 2))) into (* 1/2 (pow (sqrt 1/2) 2)) 9.425 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 1/2) 2)) into (* 1/2 (pow (sqrt 1/2) 2)) 9.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.427 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 9.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.429 * [backup-simplify]: Simplify (+ 0 0) into 0 9.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 1/2 1)) (* (- (* 1/2 (pow (sqrt 1/2) 2))) (/ 0 1)))) into 0 9.433 * [backup-simplify]: Simplify (- 0) into 0 9.433 * [backup-simplify]: Simplify (+ 0 0) into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.435 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.436 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 9.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.439 * [backup-simplify]: Simplify (+ 0 0) into 0 9.440 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ -1/8 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (pow (sqrt 1/2) 2))) (/ 1/2 1)) (* 0 (/ 0 1)))) into (* 3/8 (pow (sqrt 1/2) 2)) 9.454 * [backup-simplify]: Simplify (- (* 3/8 (pow (sqrt 1/2) 2))) into (- (* 3/8 (pow (sqrt 1/2) 2))) 9.458 * [backup-simplify]: Simplify (+ 0 (- (* 3/8 (pow (sqrt 1/2) 2)))) into (- (* 3/8 (pow (sqrt 1/2) 2))) 9.460 * [backup-simplify]: Simplify (- (* 3/8 (pow (sqrt 1/2) 2))) into (- (* 3/8 (pow (sqrt 1/2) 2))) 9.465 * [backup-simplify]: Simplify (+ (* (- (* 3/8 (pow (sqrt 1/2) 2))) (pow x 4)) (+ (* (* 1/2 (pow (sqrt 1/2) 2)) (pow x 2)) (- 1/2 (pow (sqrt 1/2) 2)))) into (- (+ 1/2 (* 1/2 (* (pow x 2) (pow (sqrt 1/2) 2)))) (+ (pow (sqrt 1/2) 2) (* 3/8 (* (pow x 4) (pow (sqrt 1/2) 2))))) 9.466 * [backup-simplify]: Simplify (- 1/2 (* (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x)))) 9.466 * [approximate]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x)))) in (x) around 0 9.466 * [taylor]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x)))) in x 9.466 * [taylor]: Taking taylor expansion of 1/2 in x 9.466 * [backup-simplify]: Simplify 1/2 into 1/2 9.466 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x))) in x 9.466 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.466 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.466 * [taylor]: Taking taylor expansion of 1/2 in x 9.466 * [backup-simplify]: Simplify 1/2 into 1/2 9.466 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.467 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.467 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.467 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.467 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.467 * [taylor]: Taking taylor expansion of 1 in x 9.467 * [backup-simplify]: Simplify 1 into 1 9.467 * [taylor]: Taking taylor expansion of 1 in x 9.467 * [backup-simplify]: Simplify 1 into 1 9.467 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.467 * [taylor]: Taking taylor expansion of x in x 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify 1 into 1 9.468 * [backup-simplify]: Simplify (/ 1 1) into 1 9.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.468 * [taylor]: Taking taylor expansion of x in x 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify 1 into 1 9.468 * [backup-simplify]: Simplify (/ 1 1) into 1 9.469 * [backup-simplify]: Simplify (* 1 1) into 1 9.469 * [backup-simplify]: Simplify (+ 0 1) into 1 9.469 * [backup-simplify]: Simplify (sqrt 1) into 1 9.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.476 * [backup-simplify]: Simplify (+ 0 0) into 0 9.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.478 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.479 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.479 * [taylor]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x)))) in x 9.479 * [taylor]: Taking taylor expansion of 1/2 in x 9.479 * [backup-simplify]: Simplify 1/2 into 1/2 9.479 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x))) in x 9.479 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.479 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.479 * [taylor]: Taking taylor expansion of 1/2 in x 9.479 * [backup-simplify]: Simplify 1/2 into 1/2 9.480 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.480 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.480 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.480 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.480 * [taylor]: Taking taylor expansion of 1 in x 9.480 * [backup-simplify]: Simplify 1 into 1 9.480 * [taylor]: Taking taylor expansion of 1 in x 9.480 * [backup-simplify]: Simplify 1 into 1 9.480 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.480 * [taylor]: Taking taylor expansion of x in x 9.480 * [backup-simplify]: Simplify 0 into 0 9.480 * [backup-simplify]: Simplify 1 into 1 9.481 * [backup-simplify]: Simplify (/ 1 1) into 1 9.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.481 * [taylor]: Taking taylor expansion of x in x 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify 1 into 1 9.481 * [backup-simplify]: Simplify (/ 1 1) into 1 9.481 * [backup-simplify]: Simplify (* 1 1) into 1 9.481 * [backup-simplify]: Simplify (+ 0 1) into 1 9.482 * [backup-simplify]: Simplify (sqrt 1) into 1 9.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.483 * [backup-simplify]: Simplify (+ 0 0) into 0 9.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.484 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.485 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.486 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.486 * [backup-simplify]: Simplify 1/2 into 1/2 9.487 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 9.488 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 9.489 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 9.490 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 9.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 9.490 * [backup-simplify]: Simplify (- 0) into 0 9.491 * [backup-simplify]: Simplify (+ 0 0) into 0 9.491 * [backup-simplify]: Simplify 0 into 0 9.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.492 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.492 * [backup-simplify]: Simplify (* 1 1) into 1 9.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.494 * [backup-simplify]: Simplify (+ 1 0) into 1 9.495 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 1/2 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.501 * [backup-simplify]: Simplify (- (- (* 1/2 (pow (sqrt 1/2) 2)))) into (* 1/2 (pow (sqrt 1/2) 2)) 9.502 * [backup-simplify]: Simplify (+ 0 (* 1/2 (pow (sqrt 1/2) 2))) into (* 1/2 (pow (sqrt 1/2) 2)) 9.503 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 1/2) 2)) into (* 1/2 (pow (sqrt 1/2) 2)) 9.506 * [backup-simplify]: Simplify (+ (* (* 1/2 (pow (sqrt 1/2) 2)) (pow (/ 1 x) 3)) (+ (* (- (pow (sqrt 1/2) 2)) (/ 1 x)) 1/2)) into (- (+ (* 1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) 1/2) (/ (pow (sqrt 1/2) 2) x)) 9.506 * [backup-simplify]: Simplify (- 1/2 (* (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x)))) 9.506 * [approximate]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x)))) in (x) around 0 9.506 * [taylor]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x)))) in x 9.506 * [taylor]: Taking taylor expansion of 1/2 in x 9.506 * [backup-simplify]: Simplify 1/2 into 1/2 9.506 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x))) in x 9.506 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.506 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.506 * [taylor]: Taking taylor expansion of 1/2 in x 9.506 * [backup-simplify]: Simplify 1/2 into 1/2 9.506 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.507 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.507 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.507 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.507 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.507 * [taylor]: Taking taylor expansion of 1 in x 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [taylor]: Taking taylor expansion of 1 in x 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.507 * [taylor]: Taking taylor expansion of -1 in x 9.507 * [backup-simplify]: Simplify -1 into -1 9.507 * [taylor]: Taking taylor expansion of x in x 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [backup-simplify]: Simplify (/ -1 1) into -1 9.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.507 * [taylor]: Taking taylor expansion of -1 in x 9.507 * [backup-simplify]: Simplify -1 into -1 9.507 * [taylor]: Taking taylor expansion of x in x 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (/ -1 1) into -1 9.508 * [backup-simplify]: Simplify (* -1 -1) into 1 9.508 * [backup-simplify]: Simplify (+ 0 1) into 1 9.508 * [backup-simplify]: Simplify (sqrt 1) into 1 9.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.510 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.510 * [backup-simplify]: Simplify (+ 0 0) into 0 9.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.511 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.512 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.513 * [taylor]: Taking taylor expansion of (- 1/2 (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x)))) in x 9.513 * [taylor]: Taking taylor expansion of 1/2 in x 9.513 * [backup-simplify]: Simplify 1/2 into 1/2 9.513 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x))) in x 9.513 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.513 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.513 * [taylor]: Taking taylor expansion of 1/2 in x 9.513 * [backup-simplify]: Simplify 1/2 into 1/2 9.513 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.513 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.513 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.513 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.513 * [taylor]: Taking taylor expansion of 1 in x 9.514 * [backup-simplify]: Simplify 1 into 1 9.514 * [taylor]: Taking taylor expansion of 1 in x 9.514 * [backup-simplify]: Simplify 1 into 1 9.514 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.514 * [taylor]: Taking taylor expansion of -1 in x 9.514 * [backup-simplify]: Simplify -1 into -1 9.514 * [taylor]: Taking taylor expansion of x in x 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 1 into 1 9.514 * [backup-simplify]: Simplify (/ -1 1) into -1 9.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.514 * [taylor]: Taking taylor expansion of -1 in x 9.514 * [backup-simplify]: Simplify -1 into -1 9.514 * [taylor]: Taking taylor expansion of x in x 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 1 into 1 9.515 * [backup-simplify]: Simplify (/ -1 1) into -1 9.515 * [backup-simplify]: Simplify (* -1 -1) into 1 9.515 * [backup-simplify]: Simplify (+ 0 1) into 1 9.516 * [backup-simplify]: Simplify (sqrt 1) into 1 9.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.517 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.518 * [backup-simplify]: Simplify (+ 0 0) into 0 9.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.519 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.520 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.520 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.520 * [backup-simplify]: Simplify 1/2 into 1/2 9.521 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 9.523 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 9.524 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 9.524 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 9.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 9.525 * [backup-simplify]: Simplify (- 0) into 0 9.525 * [backup-simplify]: Simplify (+ 0 0) into 0 9.525 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.526 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.527 * [backup-simplify]: Simplify (* 1 1) into 1 9.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.529 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.529 * [backup-simplify]: Simplify (+ 1 0) into 1 9.530 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 1/2 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.535 * [backup-simplify]: Simplify (- (- (* 1/2 (pow (sqrt 1/2) 2)))) into (* 1/2 (pow (sqrt 1/2) 2)) 9.537 * [backup-simplify]: Simplify (+ 0 (* 1/2 (pow (sqrt 1/2) 2))) into (* 1/2 (pow (sqrt 1/2) 2)) 9.538 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 1/2) 2)) into (* 1/2 (pow (sqrt 1/2) 2)) 9.540 * [backup-simplify]: Simplify (+ (* (* 1/2 (pow (sqrt 1/2) 2)) (pow (/ 1 (- x)) 3)) (+ (* (- (pow (sqrt 1/2) 2)) (/ 1 (- x))) 1/2)) into (- (+ (/ (pow (sqrt 1/2) 2) x) 1/2) (* 1/2 (/ (pow (sqrt 1/2) 2) (pow x 3)))) 9.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.540 * [backup-simplify]: Simplify (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) into (/ (pow (sqrt 1/2) 2) (hypot 1 x)) 9.540 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 x)) in (x) around 0 9.540 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 x)) in x 9.540 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.540 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.540 * [taylor]: Taking taylor expansion of 1/2 in x 9.540 * [backup-simplify]: Simplify 1/2 into 1/2 9.541 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.541 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.541 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.541 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.541 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.541 * [taylor]: Taking taylor expansion of 1 in x 9.541 * [backup-simplify]: Simplify 1 into 1 9.541 * [taylor]: Taking taylor expansion of 1 in x 9.541 * [backup-simplify]: Simplify 1 into 1 9.541 * [taylor]: Taking taylor expansion of (* x x) in x 9.541 * [taylor]: Taking taylor expansion of x in x 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 1 into 1 9.541 * [taylor]: Taking taylor expansion of x in x 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 1 into 1 9.542 * [backup-simplify]: Simplify (* 1 1) into 1 9.542 * [backup-simplify]: Simplify (* 0 0) into 0 9.542 * [backup-simplify]: Simplify (+ 1 0) into 1 9.543 * [backup-simplify]: Simplify (sqrt 1) into 1 9.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.544 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.544 * [backup-simplify]: Simplify (+ 0 0) into 0 9.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.545 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.546 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.546 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 x)) in x 9.546 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.546 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.546 * [taylor]: Taking taylor expansion of 1/2 in x 9.546 * [backup-simplify]: Simplify 1/2 into 1/2 9.546 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.547 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.547 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.547 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.547 * [taylor]: Taking taylor expansion of 1 in x 9.547 * [backup-simplify]: Simplify 1 into 1 9.547 * [taylor]: Taking taylor expansion of 1 in x 9.547 * [backup-simplify]: Simplify 1 into 1 9.547 * [taylor]: Taking taylor expansion of (* x x) in x 9.547 * [taylor]: Taking taylor expansion of x in x 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 1 into 1 9.547 * [taylor]: Taking taylor expansion of x in x 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 1 into 1 9.547 * [backup-simplify]: Simplify (* 1 1) into 1 9.548 * [backup-simplify]: Simplify (* 0 0) into 0 9.548 * [backup-simplify]: Simplify (+ 1 0) into 1 9.548 * [backup-simplify]: Simplify (sqrt 1) into 1 9.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.549 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.549 * [backup-simplify]: Simplify (+ 0 0) into 0 9.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.550 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.551 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.552 * [backup-simplify]: Simplify (pow (sqrt 1/2) 2) into (pow (sqrt 1/2) 2) 9.552 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 9.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 9.553 * [backup-simplify]: Simplify 0 into 0 9.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.554 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.556 * [backup-simplify]: Simplify (+ 0 1) into 1 9.556 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 1/2 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.562 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1/2) 2))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.563 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 9.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.567 * [backup-simplify]: Simplify (+ 0 0) into 0 9.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 1/2 1)) (* (- (* 1/2 (pow (sqrt 1/2) 2))) (/ 0 1)))) into 0 9.569 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.570 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 9.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.572 * [backup-simplify]: Simplify (+ 0 0) into 0 9.573 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ -1/8 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (pow (sqrt 1/2) 2))) (/ 1/2 1)) (* 0 (/ 0 1)))) into (* 3/8 (pow (sqrt 1/2) 2)) 9.581 * [backup-simplify]: Simplify (* 3/8 (pow (sqrt 1/2) 2)) into (* 3/8 (pow (sqrt 1/2) 2)) 9.584 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (sqrt 1/2) 2)) (pow x 4)) (+ (* (- (* 1/2 (pow (sqrt 1/2) 2))) (pow x 2)) (pow (sqrt 1/2) 2))) into (- (+ (pow (sqrt 1/2) 2) (* 3/8 (* (pow x 4) (pow (sqrt 1/2) 2)))) (* 1/2 (* (pow x 2) (pow (sqrt 1/2) 2)))) 9.584 * [backup-simplify]: Simplify (* (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt (/ 1/2 (hypot 1 (/ 1 x))))) into (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x))) 9.584 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x))) in (x) around 0 9.584 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x))) in x 9.585 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.585 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.585 * [taylor]: Taking taylor expansion of 1/2 in x 9.585 * [backup-simplify]: Simplify 1/2 into 1/2 9.585 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.585 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.585 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.585 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.585 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.585 * [taylor]: Taking taylor expansion of 1 in x 9.585 * [backup-simplify]: Simplify 1 into 1 9.585 * [taylor]: Taking taylor expansion of 1 in x 9.585 * [backup-simplify]: Simplify 1 into 1 9.585 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.585 * [taylor]: Taking taylor expansion of x in x 9.585 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify 1 into 1 9.586 * [backup-simplify]: Simplify (/ 1 1) into 1 9.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.586 * [taylor]: Taking taylor expansion of x in x 9.586 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify 1 into 1 9.586 * [backup-simplify]: Simplify (/ 1 1) into 1 9.586 * [backup-simplify]: Simplify (* 1 1) into 1 9.587 * [backup-simplify]: Simplify (+ 0 1) into 1 9.587 * [backup-simplify]: Simplify (sqrt 1) into 1 9.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.588 * [backup-simplify]: Simplify (+ 0 0) into 0 9.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.589 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.590 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.590 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ 1 x))) in x 9.591 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.591 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.591 * [taylor]: Taking taylor expansion of 1/2 in x 9.591 * [backup-simplify]: Simplify 1/2 into 1/2 9.591 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.591 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.591 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.591 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.591 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.591 * [taylor]: Taking taylor expansion of 1 in x 9.591 * [backup-simplify]: Simplify 1 into 1 9.591 * [taylor]: Taking taylor expansion of 1 in x 9.591 * [backup-simplify]: Simplify 1 into 1 9.591 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.591 * [taylor]: Taking taylor expansion of x in x 9.591 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify 1 into 1 9.592 * [backup-simplify]: Simplify (/ 1 1) into 1 9.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.592 * [taylor]: Taking taylor expansion of x in x 9.592 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify 1 into 1 9.592 * [backup-simplify]: Simplify (/ 1 1) into 1 9.592 * [backup-simplify]: Simplify (* 1 1) into 1 9.593 * [backup-simplify]: Simplify (+ 0 1) into 1 9.593 * [backup-simplify]: Simplify (sqrt 1) into 1 9.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.594 * [backup-simplify]: Simplify (+ 0 0) into 0 9.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.595 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.596 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.597 * [backup-simplify]: Simplify (pow (sqrt 1/2) 2) into (pow (sqrt 1/2) 2) 9.598 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 9.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.600 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.600 * [backup-simplify]: Simplify (* 1 1) into 1 9.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.602 * [backup-simplify]: Simplify (+ 1 0) into 1 9.602 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 1/2 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.611 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1/2) 2))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.614 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 9.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.618 * [backup-simplify]: Simplify (+ 0 0) into 0 9.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 1/2 1)) (* (- (* 1/2 (pow (sqrt 1/2) 2))) (/ 0 1)))) into 0 9.621 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.624 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 9.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.629 * [backup-simplify]: Simplify (+ 0 0) into 0 9.631 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ -1/8 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (pow (sqrt 1/2) 2))) (/ 1/2 1)) (* 0 (/ 0 1)))) into (* 3/8 (pow (sqrt 1/2) 2)) 9.646 * [backup-simplify]: Simplify (* 3/8 (pow (sqrt 1/2) 2)) into (* 3/8 (pow (sqrt 1/2) 2)) 9.651 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (sqrt 1/2) 2)) (pow (/ 1 x) 5)) (+ (* (- (* 1/2 (pow (sqrt 1/2) 2))) (pow (/ 1 x) 3)) (* (pow (sqrt 1/2) 2) (/ 1 x)))) into (- (+ (/ (pow (sqrt 1/2) 2) x) (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 5)))) (* 1/2 (/ (pow (sqrt 1/2) 2) (pow x 3)))) 9.651 * [backup-simplify]: Simplify (* (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x))) 9.652 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x))) in (x) around 0 9.652 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x))) in x 9.652 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.652 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.652 * [taylor]: Taking taylor expansion of 1/2 in x 9.652 * [backup-simplify]: Simplify 1/2 into 1/2 9.652 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.653 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.653 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.653 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.653 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.653 * [taylor]: Taking taylor expansion of 1 in x 9.653 * [backup-simplify]: Simplify 1 into 1 9.653 * [taylor]: Taking taylor expansion of 1 in x 9.653 * [backup-simplify]: Simplify 1 into 1 9.653 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.653 * [taylor]: Taking taylor expansion of -1 in x 9.653 * [backup-simplify]: Simplify -1 into -1 9.653 * [taylor]: Taking taylor expansion of x in x 9.653 * [backup-simplify]: Simplify 0 into 0 9.653 * [backup-simplify]: Simplify 1 into 1 9.654 * [backup-simplify]: Simplify (/ -1 1) into -1 9.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.654 * [taylor]: Taking taylor expansion of -1 in x 9.654 * [backup-simplify]: Simplify -1 into -1 9.654 * [taylor]: Taking taylor expansion of x in x 9.654 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify 1 into 1 9.654 * [backup-simplify]: Simplify (/ -1 1) into -1 9.655 * [backup-simplify]: Simplify (* -1 -1) into 1 9.655 * [backup-simplify]: Simplify (+ 0 1) into 1 9.656 * [backup-simplify]: Simplify (sqrt 1) into 1 9.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.658 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.659 * [backup-simplify]: Simplify (+ 0 0) into 0 9.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.661 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.663 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.663 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (hypot 1 (/ -1 x))) in x 9.663 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in x 9.663 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.663 * [taylor]: Taking taylor expansion of 1/2 in x 9.663 * [backup-simplify]: Simplify 1/2 into 1/2 9.663 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.664 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.664 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.664 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.664 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.664 * [taylor]: Taking taylor expansion of 1 in x 9.664 * [backup-simplify]: Simplify 1 into 1 9.664 * [taylor]: Taking taylor expansion of 1 in x 9.664 * [backup-simplify]: Simplify 1 into 1 9.664 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.665 * [taylor]: Taking taylor expansion of -1 in x 9.665 * [backup-simplify]: Simplify -1 into -1 9.665 * [taylor]: Taking taylor expansion of x in x 9.665 * [backup-simplify]: Simplify 0 into 0 9.665 * [backup-simplify]: Simplify 1 into 1 9.665 * [backup-simplify]: Simplify (/ -1 1) into -1 9.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.665 * [taylor]: Taking taylor expansion of -1 in x 9.665 * [backup-simplify]: Simplify -1 into -1 9.665 * [taylor]: Taking taylor expansion of x in x 9.665 * [backup-simplify]: Simplify 0 into 0 9.665 * [backup-simplify]: Simplify 1 into 1 9.666 * [backup-simplify]: Simplify (/ -1 1) into -1 9.666 * [backup-simplify]: Simplify (* -1 -1) into 1 9.667 * [backup-simplify]: Simplify (+ 0 1) into 1 9.667 * [backup-simplify]: Simplify (sqrt 1) into 1 9.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.670 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.670 * [backup-simplify]: Simplify (+ 0 0) into 0 9.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.672 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 9.674 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 9.675 * [backup-simplify]: Simplify (pow (sqrt 1/2) 2) into (pow (sqrt 1/2) 2) 9.676 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 9.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 9.677 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.680 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.681 * [backup-simplify]: Simplify (* 1 1) into 1 9.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.686 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.687 * [backup-simplify]: Simplify (+ 1 0) into 1 9.688 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 1/2 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.697 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1/2) 2))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 9.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.700 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 9.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.704 * [backup-simplify]: Simplify (+ 0 0) into 0 9.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 1/2 1)) (* (- (* 1/2 (pow (sqrt 1/2) 2))) (/ 0 1)))) into 0 9.708 * [backup-simplify]: Simplify 0 into 0 9.709 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.711 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 9.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 9.713 * [backup-simplify]: Simplify (+ 0 0) into 0 9.714 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ -1/8 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (pow (sqrt 1/2) 2))) (/ 1/2 1)) (* 0 (/ 0 1)))) into (* 3/8 (pow (sqrt 1/2) 2)) 9.722 * [backup-simplify]: Simplify (* 3/8 (pow (sqrt 1/2) 2)) into (* 3/8 (pow (sqrt 1/2) 2)) 9.726 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (sqrt 1/2) 2)) (pow (/ 1 (- x)) 5)) (+ (* (- (* 1/2 (pow (sqrt 1/2) 2))) (pow (/ 1 (- x)) 3)) (* (pow (sqrt 1/2) 2) (/ 1 (- x))))) into (- (* 1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (+ (/ (pow (sqrt 1/2) 2) x) (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 5))))) 9.726 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 9.726 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 x))) into (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) 9.726 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in (x) around 0 9.726 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 9.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 9.726 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.726 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.726 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.726 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.726 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.726 * [taylor]: Taking taylor expansion of 1 in x 9.726 * [backup-simplify]: Simplify 1 into 1 9.726 * [taylor]: Taking taylor expansion of 1 in x 9.726 * [backup-simplify]: Simplify 1 into 1 9.726 * [taylor]: Taking taylor expansion of (* x x) in x 9.726 * [taylor]: Taking taylor expansion of x in x 9.726 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify 1 into 1 9.726 * [taylor]: Taking taylor expansion of x in x 9.726 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify 1 into 1 9.726 * [backup-simplify]: Simplify (* 1 1) into 1 9.727 * [backup-simplify]: Simplify (* 0 0) into 0 9.727 * [backup-simplify]: Simplify (+ 1 0) into 1 9.727 * [backup-simplify]: Simplify (sqrt 1) into 1 9.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.728 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.728 * [backup-simplify]: Simplify (+ 0 0) into 0 9.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.729 * [backup-simplify]: Simplify (/ 1 1) into 1 9.729 * [backup-simplify]: Simplify (sqrt 1) into 1 9.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.730 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.730 * [taylor]: Taking taylor expansion of 1/2 in x 9.730 * [backup-simplify]: Simplify 1/2 into 1/2 9.731 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.731 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 9.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 9.731 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.731 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.731 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.731 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.731 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.731 * [taylor]: Taking taylor expansion of 1 in x 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [taylor]: Taking taylor expansion of 1 in x 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [taylor]: Taking taylor expansion of (* x x) in x 9.731 * [taylor]: Taking taylor expansion of x in x 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [taylor]: Taking taylor expansion of x in x 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.732 * [backup-simplify]: Simplify (* 1 1) into 1 9.732 * [backup-simplify]: Simplify (* 0 0) into 0 9.732 * [backup-simplify]: Simplify (+ 1 0) into 1 9.732 * [backup-simplify]: Simplify (sqrt 1) into 1 9.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.733 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.733 * [backup-simplify]: Simplify (+ 0 0) into 0 9.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.734 * [backup-simplify]: Simplify (/ 1 1) into 1 9.734 * [backup-simplify]: Simplify (sqrt 1) into 1 9.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.735 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.735 * [taylor]: Taking taylor expansion of 1/2 in x 9.735 * [backup-simplify]: Simplify 1/2 into 1/2 9.735 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.736 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 9.737 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.739 * [backup-simplify]: Simplify (+ 0 1) into 1 9.740 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.741 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 9.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2))) 9.745 * [backup-simplify]: Simplify (- (* 1/4 (sqrt 1/2))) into (- (* 1/4 (sqrt 1/2))) 9.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.749 * [backup-simplify]: Simplify (+ 0 0) into 0 9.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 9.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0 9.755 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.759 * [backup-simplify]: Simplify (+ 0 0) into 0 9.761 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.764 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 9.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2)) 9.773 * [backup-simplify]: Simplify (* 5/32 (sqrt 1/2)) into (* 5/32 (sqrt 1/2)) 9.776 * [backup-simplify]: Simplify (+ (* (* 5/32 (sqrt 1/2)) (pow x 4)) (+ (* (- (* 1/4 (sqrt 1/2))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))) 9.776 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) into (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) 9.776 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in (x) around 0 9.776 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 9.776 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 9.776 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.776 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.776 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.776 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.776 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.776 * [taylor]: Taking taylor expansion of 1 in x 9.776 * [backup-simplify]: Simplify 1 into 1 9.776 * [taylor]: Taking taylor expansion of 1 in x 9.776 * [backup-simplify]: Simplify 1 into 1 9.776 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.776 * [taylor]: Taking taylor expansion of x in x 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify 1 into 1 9.777 * [backup-simplify]: Simplify (/ 1 1) into 1 9.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.777 * [taylor]: Taking taylor expansion of x in x 9.777 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify 1 into 1 9.777 * [backup-simplify]: Simplify (/ 1 1) into 1 9.778 * [backup-simplify]: Simplify (* 1 1) into 1 9.778 * [backup-simplify]: Simplify (+ 0 1) into 1 9.778 * [backup-simplify]: Simplify (sqrt 1) into 1 9.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.781 * [backup-simplify]: Simplify (+ 0 0) into 0 9.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.782 * [backup-simplify]: Simplify (/ 1 1) into 1 9.782 * [backup-simplify]: Simplify (sqrt 0) into 0 9.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.784 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.784 * [taylor]: Taking taylor expansion of 1/2 in x 9.784 * [backup-simplify]: Simplify 1/2 into 1/2 9.785 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.785 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 9.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 9.785 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.785 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.785 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.785 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.785 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.785 * [taylor]: Taking taylor expansion of 1 in x 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [taylor]: Taking taylor expansion of 1 in x 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.786 * [taylor]: Taking taylor expansion of x in x 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [backup-simplify]: Simplify (/ 1 1) into 1 9.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.786 * [taylor]: Taking taylor expansion of x in x 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (/ 1 1) into 1 9.787 * [backup-simplify]: Simplify (* 1 1) into 1 9.788 * [backup-simplify]: Simplify (+ 0 1) into 1 9.788 * [backup-simplify]: Simplify (sqrt 1) into 1 9.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.791 * [backup-simplify]: Simplify (+ 0 0) into 0 9.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.792 * [backup-simplify]: Simplify (/ 1 1) into 1 9.792 * [backup-simplify]: Simplify (sqrt 0) into 0 9.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.793 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.793 * [taylor]: Taking taylor expansion of 1/2 in x 9.793 * [backup-simplify]: Simplify 1/2 into 1/2 9.794 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.795 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 9.795 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.798 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.803 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 9.810 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.812 * [backup-simplify]: Simplify (* 1 1) into 1 9.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.813 * [backup-simplify]: Simplify (+ 1 0) into 1 9.814 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.819 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 9.826 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.834 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 x)))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) 9.834 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) into (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) 9.834 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in (x) around 0 9.834 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 9.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 9.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.834 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.834 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.834 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.834 * [taylor]: Taking taylor expansion of 1 in x 9.834 * [backup-simplify]: Simplify 1 into 1 9.834 * [taylor]: Taking taylor expansion of 1 in x 9.834 * [backup-simplify]: Simplify 1 into 1 9.834 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.834 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.834 * [taylor]: Taking taylor expansion of -1 in x 9.834 * [backup-simplify]: Simplify -1 into -1 9.834 * [taylor]: Taking taylor expansion of x in x 9.835 * [backup-simplify]: Simplify 0 into 0 9.835 * [backup-simplify]: Simplify 1 into 1 9.835 * [backup-simplify]: Simplify (/ -1 1) into -1 9.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.835 * [taylor]: Taking taylor expansion of -1 in x 9.835 * [backup-simplify]: Simplify -1 into -1 9.835 * [taylor]: Taking taylor expansion of x in x 9.835 * [backup-simplify]: Simplify 0 into 0 9.835 * [backup-simplify]: Simplify 1 into 1 9.836 * [backup-simplify]: Simplify (/ -1 1) into -1 9.836 * [backup-simplify]: Simplify (* -1 -1) into 1 9.837 * [backup-simplify]: Simplify (+ 0 1) into 1 9.837 * [backup-simplify]: Simplify (sqrt 1) into 1 9.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.840 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.840 * [backup-simplify]: Simplify (+ 0 0) into 0 9.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.841 * [backup-simplify]: Simplify (/ 1 1) into 1 9.842 * [backup-simplify]: Simplify (sqrt 0) into 0 9.843 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.843 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.843 * [taylor]: Taking taylor expansion of 1/2 in x 9.843 * [backup-simplify]: Simplify 1/2 into 1/2 9.844 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.845 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 9.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 9.845 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.845 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.845 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.845 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.845 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.845 * [taylor]: Taking taylor expansion of 1 in x 9.845 * [backup-simplify]: Simplify 1 into 1 9.845 * [taylor]: Taking taylor expansion of 1 in x 9.845 * [backup-simplify]: Simplify 1 into 1 9.845 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.845 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.845 * [taylor]: Taking taylor expansion of -1 in x 9.845 * [backup-simplify]: Simplify -1 into -1 9.845 * [taylor]: Taking taylor expansion of x in x 9.845 * [backup-simplify]: Simplify 0 into 0 9.845 * [backup-simplify]: Simplify 1 into 1 9.846 * [backup-simplify]: Simplify (/ -1 1) into -1 9.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.846 * [taylor]: Taking taylor expansion of -1 in x 9.846 * [backup-simplify]: Simplify -1 into -1 9.846 * [taylor]: Taking taylor expansion of x in x 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [backup-simplify]: Simplify (/ -1 1) into -1 9.847 * [backup-simplify]: Simplify (* -1 -1) into 1 9.847 * [backup-simplify]: Simplify (+ 0 1) into 1 9.847 * [backup-simplify]: Simplify (sqrt 1) into 1 9.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.849 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.849 * [backup-simplify]: Simplify (+ 0 0) into 0 9.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.850 * [backup-simplify]: Simplify (/ 1 1) into 1 9.850 * [backup-simplify]: Simplify (sqrt 0) into 0 9.851 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.851 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.851 * [taylor]: Taking taylor expansion of 1/2 in x 9.851 * [backup-simplify]: Simplify 1/2 into 1/2 9.851 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.852 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 9.852 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.854 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.855 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.857 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 9.860 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.862 * [backup-simplify]: Simplify (* 1 1) into 1 9.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.863 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.864 * [backup-simplify]: Simplify (+ 1 0) into 1 9.864 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.867 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 9.872 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.877 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 (- x))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) 9.877 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 9.877 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 x))) into (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) 9.877 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in (x) around 0 9.877 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 9.877 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 9.877 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.877 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.877 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.877 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.877 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.877 * [taylor]: Taking taylor expansion of 1 in x 9.877 * [backup-simplify]: Simplify 1 into 1 9.877 * [taylor]: Taking taylor expansion of 1 in x 9.877 * [backup-simplify]: Simplify 1 into 1 9.877 * [taylor]: Taking taylor expansion of (* x x) in x 9.877 * [taylor]: Taking taylor expansion of x in x 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [taylor]: Taking taylor expansion of x in x 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [backup-simplify]: Simplify (* 1 1) into 1 9.878 * [backup-simplify]: Simplify (* 0 0) into 0 9.879 * [backup-simplify]: Simplify (+ 1 0) into 1 9.879 * [backup-simplify]: Simplify (sqrt 1) into 1 9.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.881 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.881 * [backup-simplify]: Simplify (+ 0 0) into 0 9.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.882 * [backup-simplify]: Simplify (/ 1 1) into 1 9.883 * [backup-simplify]: Simplify (sqrt 1) into 1 9.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.884 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.884 * [taylor]: Taking taylor expansion of 1/2 in x 9.884 * [backup-simplify]: Simplify 1/2 into 1/2 9.884 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.884 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 9.884 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 9.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.884 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.884 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.885 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.885 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.885 * [taylor]: Taking taylor expansion of 1 in x 9.885 * [backup-simplify]: Simplify 1 into 1 9.885 * [taylor]: Taking taylor expansion of 1 in x 9.885 * [backup-simplify]: Simplify 1 into 1 9.885 * [taylor]: Taking taylor expansion of (* x x) in x 9.885 * [taylor]: Taking taylor expansion of x in x 9.885 * [backup-simplify]: Simplify 0 into 0 9.885 * [backup-simplify]: Simplify 1 into 1 9.885 * [taylor]: Taking taylor expansion of x in x 9.885 * [backup-simplify]: Simplify 0 into 0 9.885 * [backup-simplify]: Simplify 1 into 1 9.885 * [backup-simplify]: Simplify (* 1 1) into 1 9.885 * [backup-simplify]: Simplify (* 0 0) into 0 9.885 * [backup-simplify]: Simplify (+ 1 0) into 1 9.886 * [backup-simplify]: Simplify (sqrt 1) into 1 9.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.887 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.887 * [backup-simplify]: Simplify (+ 0 0) into 0 9.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.888 * [backup-simplify]: Simplify (/ 1 1) into 1 9.888 * [backup-simplify]: Simplify (sqrt 1) into 1 9.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.889 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.889 * [taylor]: Taking taylor expansion of 1/2 in x 9.889 * [backup-simplify]: Simplify 1/2 into 1/2 9.889 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.890 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 9.891 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 9.891 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.893 * [backup-simplify]: Simplify (+ 0 1) into 1 9.894 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.895 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 9.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2))) 9.898 * [backup-simplify]: Simplify (- (* 1/4 (sqrt 1/2))) into (- (* 1/4 (sqrt 1/2))) 9.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.901 * [backup-simplify]: Simplify (+ 0 0) into 0 9.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 9.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0 9.904 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.906 * [backup-simplify]: Simplify (+ 0 0) into 0 9.907 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.909 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 9.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2)) 9.916 * [backup-simplify]: Simplify (* 5/32 (sqrt 1/2)) into (* 5/32 (sqrt 1/2)) 9.918 * [backup-simplify]: Simplify (+ (* (* 5/32 (sqrt 1/2)) (pow x 4)) (+ (* (- (* 1/4 (sqrt 1/2))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))) 9.918 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) into (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) 9.918 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in (x) around 0 9.918 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 9.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 9.918 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.918 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.918 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.918 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.918 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.918 * [taylor]: Taking taylor expansion of 1 in x 9.918 * [backup-simplify]: Simplify 1 into 1 9.918 * [taylor]: Taking taylor expansion of 1 in x 9.918 * [backup-simplify]: Simplify 1 into 1 9.918 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.918 * [taylor]: Taking taylor expansion of x in x 9.918 * [backup-simplify]: Simplify 0 into 0 9.918 * [backup-simplify]: Simplify 1 into 1 9.919 * [backup-simplify]: Simplify (/ 1 1) into 1 9.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.919 * [taylor]: Taking taylor expansion of x in x 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify 1 into 1 9.919 * [backup-simplify]: Simplify (/ 1 1) into 1 9.919 * [backup-simplify]: Simplify (* 1 1) into 1 9.919 * [backup-simplify]: Simplify (+ 0 1) into 1 9.920 * [backup-simplify]: Simplify (sqrt 1) into 1 9.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.921 * [backup-simplify]: Simplify (+ 0 0) into 0 9.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.922 * [backup-simplify]: Simplify (/ 1 1) into 1 9.922 * [backup-simplify]: Simplify (sqrt 0) into 0 9.923 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.923 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.923 * [taylor]: Taking taylor expansion of 1/2 in x 9.923 * [backup-simplify]: Simplify 1/2 into 1/2 9.923 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.924 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 9.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 9.924 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.924 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.924 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.924 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.924 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.924 * [taylor]: Taking taylor expansion of 1 in x 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [taylor]: Taking taylor expansion of 1 in x 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.924 * [taylor]: Taking taylor expansion of x in x 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [backup-simplify]: Simplify (/ 1 1) into 1 9.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.924 * [taylor]: Taking taylor expansion of x in x 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 1 into 1 9.925 * [backup-simplify]: Simplify (/ 1 1) into 1 9.925 * [backup-simplify]: Simplify (* 1 1) into 1 9.925 * [backup-simplify]: Simplify (+ 0 1) into 1 9.925 * [backup-simplify]: Simplify (sqrt 1) into 1 9.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.927 * [backup-simplify]: Simplify (+ 0 0) into 0 9.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.928 * [backup-simplify]: Simplify (/ 1 1) into 1 9.928 * [backup-simplify]: Simplify (sqrt 0) into 0 9.929 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.929 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.929 * [taylor]: Taking taylor expansion of 1/2 in x 9.929 * [backup-simplify]: Simplify 1/2 into 1/2 9.929 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.930 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 9.930 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.932 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.933 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.935 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 9.938 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.939 * [backup-simplify]: Simplify (* 1 1) into 1 9.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.942 * [backup-simplify]: Simplify (+ 1 0) into 1 9.942 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.946 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 9.950 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.953 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 x)))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) 9.953 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) into (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) 9.953 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in (x) around 0 9.953 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 9.953 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 9.953 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.953 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.953 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.953 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.953 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.953 * [taylor]: Taking taylor expansion of 1 in x 9.953 * [backup-simplify]: Simplify 1 into 1 9.953 * [taylor]: Taking taylor expansion of 1 in x 9.953 * [backup-simplify]: Simplify 1 into 1 9.953 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.953 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.953 * [taylor]: Taking taylor expansion of -1 in x 9.953 * [backup-simplify]: Simplify -1 into -1 9.953 * [taylor]: Taking taylor expansion of x in x 9.953 * [backup-simplify]: Simplify 0 into 0 9.953 * [backup-simplify]: Simplify 1 into 1 9.954 * [backup-simplify]: Simplify (/ -1 1) into -1 9.954 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.954 * [taylor]: Taking taylor expansion of -1 in x 9.954 * [backup-simplify]: Simplify -1 into -1 9.954 * [taylor]: Taking taylor expansion of x in x 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 1 into 1 9.954 * [backup-simplify]: Simplify (/ -1 1) into -1 9.954 * [backup-simplify]: Simplify (* -1 -1) into 1 9.955 * [backup-simplify]: Simplify (+ 0 1) into 1 9.955 * [backup-simplify]: Simplify (sqrt 1) into 1 9.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.957 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.957 * [backup-simplify]: Simplify (+ 0 0) into 0 9.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.958 * [backup-simplify]: Simplify (/ 1 1) into 1 9.958 * [backup-simplify]: Simplify (sqrt 0) into 0 9.959 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.959 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.959 * [taylor]: Taking taylor expansion of 1/2 in x 9.959 * [backup-simplify]: Simplify 1/2 into 1/2 9.959 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.960 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 9.960 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 9.960 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.960 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.960 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.960 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.960 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.960 * [taylor]: Taking taylor expansion of 1 in x 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [taylor]: Taking taylor expansion of 1 in x 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.960 * [taylor]: Taking taylor expansion of -1 in x 9.960 * [backup-simplify]: Simplify -1 into -1 9.960 * [taylor]: Taking taylor expansion of x in x 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 1 into 1 9.961 * [backup-simplify]: Simplify (/ -1 1) into -1 9.961 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.961 * [taylor]: Taking taylor expansion of -1 in x 9.961 * [backup-simplify]: Simplify -1 into -1 9.961 * [taylor]: Taking taylor expansion of x in x 9.961 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify 1 into 1 9.961 * [backup-simplify]: Simplify (/ -1 1) into -1 9.961 * [backup-simplify]: Simplify (* -1 -1) into 1 9.961 * [backup-simplify]: Simplify (+ 0 1) into 1 9.962 * [backup-simplify]: Simplify (sqrt 1) into 1 9.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.963 * [backup-simplify]: Simplify (+ 0 0) into 0 9.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.964 * [backup-simplify]: Simplify (/ 1 1) into 1 9.964 * [backup-simplify]: Simplify (sqrt 0) into 0 9.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.965 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 9.965 * [taylor]: Taking taylor expansion of 1/2 in x 9.965 * [backup-simplify]: Simplify 1/2 into 1/2 9.965 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.966 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 9.966 * [backup-simplify]: Simplify 0 into 0 9.967 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.968 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 9.977 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.978 * [backup-simplify]: Simplify (* 1 1) into 1 9.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.981 * [backup-simplify]: Simplify (+ 1 0) into 1 9.982 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.987 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 9.993 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 9.996 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 (- x))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) 9.996 * * * [progress]: simplifying candidates 9.996 * * * * [progress]: [ 1 / 180 ] simplifiying candidate # 9.996 * * * * [progress]: [ 2 / 180 ] simplifiying candidate # 9.996 * * * * [progress]: [ 3 / 180 ] simplifiying candidate # 9.996 * * * * [progress]: [ 4 / 180 ] simplifiying candidate # 9.996 * * * * [progress]: [ 5 / 180 ] simplifiying candidate # 9.996 * * * * [progress]: [ 6 / 180 ] simplifiying candidate # 9.996 * * * * [progress]: [ 7 / 180 ] simplifiying candidate # 9.996 * * * * [progress]: [ 8 / 180 ] simplifiying candidate # 9.996 * * * * [progress]: [ 9 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 10 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 11 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 12 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 13 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 14 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 15 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 16 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 17 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 18 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 19 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 20 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 21 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 22 / 180 ] simplifiying candidate #real (real->posit16 (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 9.997 * * * * [progress]: [ 23 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 24 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 25 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 26 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 27 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 28 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 29 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 30 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: [ 31 / 180 ] simplifiying candidate # 9.997 * * * * [progress]: 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9.998 * * * * [progress]: [ 48 / 180 ] simplifiying candidate # 9.998 * * * * [progress]: [ 49 / 180 ] simplifiying candidate # 9.998 * * * * [progress]: [ 50 / 180 ] simplifiying candidate # 9.998 * * * * [progress]: [ 51 / 180 ] simplifiying candidate # 9.998 * * * * [progress]: [ 52 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 53 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 54 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 55 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 56 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 57 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 58 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 59 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 60 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 61 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 62 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 63 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 64 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 65 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 66 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 67 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 68 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 69 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 70 / 180 ] simplifiying candidate # 9.999 * * * * [progress]: [ 71 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 72 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 73 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 74 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 75 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 76 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 77 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 78 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 79 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 80 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 81 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 82 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 83 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 84 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 85 / 180 ] simplifiying candidate # 10.000 * * * * [progress]: [ 86 / 180 ] simplifiying candidate # 10.001 * * * * [progress]: [ 87 / 180 ] simplifiying candidate # 10.001 * * * * [progress]: [ 88 / 180 ] simplifiying candidate # 10.001 * * * * [progress]: [ 89 / 180 ] simplifiying candidate # 10.001 * * * * [progress]: [ 90 / 180 ] simplifiying candidate # 10.001 * * * * [progress]: [ 91 / 180 ] simplifiying candidate # 10.001 * * * * [progress]: [ 92 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 93 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 94 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 95 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 96 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 97 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 98 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 99 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 100 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 101 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 102 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 103 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 104 / 180 ] simplifiying candidate # 10.002 * * * * [progress]: [ 105 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 106 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 107 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 108 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 109 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 110 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 111 / 180 ] simplifiying candidate #real (real->posit16 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 10.003 * * * * [progress]: [ 112 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 113 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 114 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 115 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 116 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 117 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 118 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 119 / 180 ] simplifiying candidate # 10.003 * * * * [progress]: [ 120 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 121 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 122 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 123 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 124 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 125 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 126 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 127 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 128 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 129 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 130 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 131 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 132 / 180 ] simplifiying candidate # 10.004 * * * * [progress]: [ 133 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 134 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 135 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 136 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 137 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 138 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 139 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 140 / 180 ] simplifiying candidate #real (real->posit16 (sqrt (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 10.005 * * * * [progress]: [ 141 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 142 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 143 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 144 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 145 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 146 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 147 / 180 ] simplifiying candidate # 10.005 * * * * [progress]: [ 148 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 149 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 150 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 151 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 152 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 153 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 154 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 155 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 156 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 157 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 158 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 159 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 160 / 180 ] simplifiying candidate # 10.006 * * * * [progress]: [ 161 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 162 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 163 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 164 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 165 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 166 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 167 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 168 / 180 ] simplifiying candidate #real (real->posit16 (sqrt (/ 1/2 (hypot 1 x))))) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 10.007 * * * * [progress]: [ 169 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 170 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 171 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 172 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 173 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 174 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 175 / 180 ] simplifiying candidate # 10.007 * * * * [progress]: [ 176 / 180 ] simplifiying candidate # 10.008 * * * * [progress]: [ 177 / 180 ] simplifiying candidate # 10.008 * * * * [progress]: [ 178 / 180 ] simplifiying candidate # 10.008 * * * * [progress]: [ 179 / 180 ] simplifiying candidate # 10.008 * * * * [progress]: [ 180 / 180 ] simplifiying candidate # 10.011 * [simplify]: Simplifying: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma 1 1/2 (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (expm1 (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (log1p (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (/ (exp 1/2) (exp (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (log (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (exp (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (cbrt (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))))) (cbrt (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (* (* (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (sqrt (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (sqrt (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (- (pow 1/2 3) (pow (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 3)) (+ (* 1/2 1/2) (+ (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))))) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (- (* 1/2 1/2) (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (+ 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (expm1 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (log1p (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 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)) (/ 1/2 (hypot 1 x))) (+ 1 1) (+ (log (sqrt (/ 1/2 (hypot 1 x)))) (log (sqrt (/ 1/2 (hypot 1 x))))) (log (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (exp (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x)))) (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))))) (* (cbrt (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (cbrt (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (cbrt (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (sqrt (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (sqrt (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (* (sqrt 1/2) (sqrt 1/2)) (* (sqrt (hypot 1 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(* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 5))))) (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))) (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))) (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) 10.016 * * [simplify]: iteration 1: (218 enodes) 10.109 * * [simplify]: iteration 2: (446 enodes) 10.281 * * [simplify]: iteration 3: (1217 enodes) 11.393 * * [simplify]: Extracting #0: cost 109 inf + 0 11.395 * * [simplify]: Extracting #1: cost 432 inf + 3 11.402 * * [simplify]: Extracting #2: cost 762 inf + 1712 11.413 * * [simplify]: Extracting #3: cost 663 inf + 24174 11.434 * * [simplify]: Extracting #4: cost 234 inf + 115523 11.493 * * [simplify]: Extracting #5: cost 28 inf + 175762 11.531 * * [simplify]: Extracting #6: cost 2 inf + 184207 11.607 * * [simplify]: Extracting #7: cost 0 inf + 184672 11.669 * [simplify]: Simplified to: (fma (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2)) (/ -1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (exp (- 1/2 (/ 1/2 (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 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(sqrt (/ 1/2 (hypot 1 x))) (sqrt (sqrt (/ 1/2 (hypot 1 x))))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (cbrt (/ 1/2 (hypot 1 x))))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (sqrt (/ 1/2 (hypot 1 x))))) (* (sqrt (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ (cbrt 1/2) (hypot 1 x)))) (* (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ (sqrt 1/2) (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (cbrt (hypot 1 x))))) (* (sqrt (/ 1/2 (sqrt (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (sqrt (/ 1/2 (hypot 1 x))))) (/ 1/2 (hypot 1 x)) (* (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (sqrt (/ 1/2 (hypot 1 x)))) (log1p (sqrt (/ 1/2 (hypot 1 x)))) (log (sqrt (/ 1/2 (hypot 1 x)))) (exp (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))) (fabs (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (fabs (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (sqrt (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (fabs (cbrt 1/2)) (sqrt (/ (cbrt 1/2) (hypot 1 x))) (sqrt (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt 1/2)) (sqrt (/ (sqrt 1/2) (hypot 1 x))) (sqrt (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (sqrt (/ 1/2 (cbrt (hypot 1 x)))) (sqrt (/ 1 (sqrt (hypot 1 x)))) (sqrt (/ 1/2 (sqrt (hypot 1 x)))) 1 (sqrt (/ 1/2 (hypot 1 x))) 1 (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2) (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2) (sqrt (hypot 1 x)) 1/2 (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (real->posit16 (sqrt (/ 1/2 (hypot 1 x)))) (expm1 (sqrt (/ 1/2 (hypot 1 x)))) (log1p (sqrt (/ 1/2 (hypot 1 x)))) (log (sqrt (/ 1/2 (hypot 1 x)))) (exp (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))) (fabs (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (fabs (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (sqrt (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (fabs (cbrt 1/2)) (sqrt (/ (cbrt 1/2) (hypot 1 x))) (sqrt (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (sqrt 1/2)) (sqrt (/ (sqrt 1/2) (hypot 1 x))) (sqrt (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (sqrt (/ 1/2 (cbrt (hypot 1 x)))) (sqrt (/ 1 (sqrt (hypot 1 x)))) (sqrt (/ 1/2 (sqrt (hypot 1 x)))) 1 (sqrt (/ 1/2 (hypot 1 x))) 1 (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2) (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2) (sqrt (hypot 1 x)) 1/2 (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (real->posit16 (sqrt (/ 1/2 (hypot 1 x)))) (fma (* x x) 1/4 (* (* (* x x) (* x x)) -3/16)) (+ (- 1/2 (/ 1/2 x)) (/ (* (/ 1/2 x) 1/2) (* x x))) (- (+ 1/2 (/ 1/2 x)) (/ (* (/ 1/2 x) 1/2) (* x x))) (fma 1/2 (* (* x x) (- (* (* x x) 3/8) 1/2)) 1/2) (+ (- (/ 1/2 x) (/ (* (/ 1/2 x) 1/2) (* x x))) (/ 3/16 (pow x 5))) (+ (- (/ (* (/ 1/2 x) 1/2) (* x x)) (/ 1/2 x)) (/ -3/16 (pow x 5))) (fma -1/4 (* (sqrt 1/2) (* x x)) (fma (sqrt 1/2) (* (* x x) (* (* x x) 5/32)) (sqrt 1/2))) (- (* +nan.0 (- (/ (sqrt 1/2) x) (- (/ (/ (sqrt 1/2) x) (* x x)) (/ (/ (sqrt 1/2) x) x))))) (- (* +nan.0 (- (/ (sqrt 1/2) x) (- (/ (/ (sqrt 1/2) x) (* x x)) (/ (/ (sqrt 1/2) x) x))))) (fma -1/4 (* (sqrt 1/2) (* x x)) (fma (sqrt 1/2) (* (* x x) (* (* x x) 5/32)) (sqrt 1/2))) (- (* +nan.0 (- (/ (sqrt 1/2) x) (- (/ (/ (sqrt 1/2) x) (* x x)) (/ (/ (sqrt 1/2) x) x))))) (- (* +nan.0 (- (/ (sqrt 1/2) x) (- (/ (/ (sqrt 1/2) x) (* x x)) (/ (/ (sqrt 1/2) x) x))))) 11.686 * * * [progress]: adding candidates to table 12.466 * * [progress]: iteration 4 / 4 12.466 * * * [progress]: picking best candidate 12.468 * * * * [pick]: Picked # 12.468 * * * [progress]: localizing error 12.499 * * * [progress]: generating rewritten candidates 12.499 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 12.499 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 2 2) 12.516 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 12.530 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.560 * * * [progress]: generating series expansions 12.560 * * * * [progress]: [ 1 / 4 ] generating series at (2) 12.560 * [backup-simplify]: Simplify (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128)))) into (fma 69/1024 (pow x 6) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 12.560 * [approximate]: Taking taylor expansion of (fma 69/1024 (pow x 6) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in (x) around 0 12.561 * [taylor]: Taking taylor expansion of (fma 69/1024 (pow x 6) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in x 12.561 * [taylor]: Rewrote expression to (+ (* 69/1024 (pow x 6)) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 12.561 * [taylor]: Taking taylor expansion of (* 69/1024 (pow x 6)) in x 12.561 * [taylor]: Taking taylor expansion of 69/1024 in x 12.561 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.561 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.561 * [taylor]: Taking taylor expansion of x in x 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1/8 (* 11/128 (pow x 2)))) in x 12.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.561 * [taylor]: Taking taylor expansion of x in x 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (pow x 2))) in x 12.561 * [taylor]: Taking taylor expansion of 1/8 in x 12.561 * [backup-simplify]: Simplify 1/8 into 1/8 12.561 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 12.561 * [taylor]: Taking taylor expansion of 11/128 in x 12.561 * [backup-simplify]: Simplify 11/128 into 11/128 12.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.561 * [taylor]: Taking taylor expansion of x in x 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (fma 69/1024 (pow x 6) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in x 12.561 * [taylor]: Rewrote expression to (+ (* 69/1024 (pow x 6)) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 12.561 * [taylor]: Taking taylor expansion of (* 69/1024 (pow x 6)) in x 12.561 * [taylor]: Taking taylor expansion of 69/1024 in x 12.561 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.561 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.562 * [taylor]: Taking taylor expansion of x in x 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 1 into 1 12.562 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1/8 (* 11/128 (pow x 2)))) in x 12.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.562 * [taylor]: Taking taylor expansion of x in x 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 1 into 1 12.562 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (pow x 2))) in x 12.562 * [taylor]: Taking taylor expansion of 1/8 in x 12.562 * [backup-simplify]: Simplify 1/8 into 1/8 12.562 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 12.562 * [taylor]: Taking taylor expansion of 11/128 in x 12.562 * [backup-simplify]: Simplify 11/128 into 11/128 12.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.562 * [taylor]: Taking taylor expansion of x in x 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 1 into 1 12.563 * [backup-simplify]: Simplify (* 1 1) into 1 12.563 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.564 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 12.564 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 12.564 * [backup-simplify]: Simplify 1/8 into 1/8 12.565 * [backup-simplify]: Simplify (+ 0 0) into 0 12.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 12.567 * [backup-simplify]: Simplify (+ 0 0) into 0 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify (* 1 1) into 1 12.568 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.568 * [backup-simplify]: Simplify (- 11/128) into -11/128 12.568 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.571 * [backup-simplify]: Simplify (+ (* 1 -11/128) (+ (* 0 0) (* 0 1/8))) into -11/128 12.571 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.571 * [backup-simplify]: Simplify -11/128 into -11/128 12.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.573 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 12.573 * [backup-simplify]: Simplify (- 0) into 0 12.574 * [backup-simplify]: Simplify (+ 0 0) into 0 12.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -11/128) (+ (* 0 0) (* 0 1/8)))) into 0 12.576 * [backup-simplify]: Simplify (+ 0 0) into 0 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify (* 1 1) into 1 12.577 * [backup-simplify]: Simplify (* 1 1) into 1 12.577 * [backup-simplify]: Simplify (* 1 1) into 1 12.577 * [backup-simplify]: Simplify (* 69/1024 1) into 69/1024 12.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.578 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 12.579 * [backup-simplify]: Simplify (- 0) into 0 12.579 * [backup-simplify]: Simplify (+ 0 0) into 0 12.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -11/128) (+ (* 0 0) (* 0 1/8))))) into 0 12.581 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 12.581 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.581 * [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))) 12.581 * [backup-simplify]: Simplify (fma 69/1024 (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (* (/ 1 x) (/ 1 x)) (- 1/8 (* (* (/ 1 x) (/ 1 x)) 11/128)))) into (fma 69/1024 (/ 1 (pow x 6)) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 12.581 * [approximate]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in (x) around 0 12.581 * [taylor]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 12.581 * [taylor]: Rewrote expression to (+ (* 69/1024 (/ 1 (pow x 6))) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 12.581 * [taylor]: Taking taylor expansion of (* 69/1024 (/ 1 (pow x 6))) in x 12.581 * [taylor]: Taking taylor expansion of 69/1024 in x 12.581 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 12.581 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.581 * [taylor]: Taking taylor expansion of x in x 12.581 * [backup-simplify]: Simplify 0 into 0 12.581 * [backup-simplify]: Simplify 1 into 1 12.582 * [backup-simplify]: Simplify (* 1 1) into 1 12.582 * [backup-simplify]: Simplify (* 1 1) into 1 12.582 * [backup-simplify]: Simplify (* 1 1) into 1 12.582 * [backup-simplify]: Simplify (/ 1 1) into 1 12.582 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 12.583 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 12.583 * [taylor]: Taking taylor expansion of 1/8 in x 12.583 * [backup-simplify]: Simplify 1/8 into 1/8 12.583 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 12.583 * [taylor]: Taking taylor expansion of 11/128 in x 12.583 * [backup-simplify]: Simplify 11/128 into 11/128 12.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.583 * [taylor]: Taking taylor expansion of x in x 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 1 into 1 12.583 * [backup-simplify]: Simplify (* 1 1) into 1 12.583 * [backup-simplify]: Simplify (/ 1 1) into 1 12.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.583 * [taylor]: Taking taylor expansion of x in x 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 1 into 1 12.584 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.584 * [backup-simplify]: Simplify (- 11/128) into -11/128 12.584 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.584 * [backup-simplify]: Simplify (* 1 1) into 1 12.585 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 12.585 * [taylor]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 12.585 * [taylor]: Rewrote expression to (+ (* 69/1024 (/ 1 (pow x 6))) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 12.585 * [taylor]: Taking taylor expansion of (* 69/1024 (/ 1 (pow x 6))) in x 12.585 * [taylor]: Taking taylor expansion of 69/1024 in x 12.585 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 12.585 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.585 * [taylor]: Taking taylor expansion of x in x 12.585 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify 1 into 1 12.585 * [backup-simplify]: Simplify (* 1 1) into 1 12.585 * [backup-simplify]: Simplify (* 1 1) into 1 12.586 * [backup-simplify]: Simplify (* 1 1) into 1 12.586 * [backup-simplify]: Simplify (/ 1 1) into 1 12.586 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 12.586 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 12.586 * [taylor]: Taking taylor expansion of 1/8 in x 12.586 * [backup-simplify]: Simplify 1/8 into 1/8 12.586 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 12.586 * [taylor]: Taking taylor expansion of 11/128 in x 12.586 * [backup-simplify]: Simplify 11/128 into 11/128 12.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.586 * [taylor]: Taking taylor expansion of x in x 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [backup-simplify]: Simplify (* 1 1) into 1 12.587 * [backup-simplify]: Simplify (/ 1 1) into 1 12.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.587 * [taylor]: Taking taylor expansion of x in x 12.587 * [backup-simplify]: Simplify 0 into 0 12.587 * [backup-simplify]: Simplify 1 into 1 12.587 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.587 * [backup-simplify]: Simplify (- 11/128) into -11/128 12.587 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.588 * [backup-simplify]: Simplify (* 1 1) into 1 12.588 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 12.588 * [backup-simplify]: Simplify (* 69/1024 1) into 69/1024 12.589 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 12.589 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.591 * [backup-simplify]: Simplify (+ (* 69/1024 0) (* 0 1)) into 0 12.591 * [backup-simplify]: Simplify (+ 0 0) into 0 12.591 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.594 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (* 0 1))) into 0 12.594 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.594 * [backup-simplify]: Simplify -11/128 into -11/128 12.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.597 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.598 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 12.599 * [backup-simplify]: Simplify (- 0) into 0 12.599 * [backup-simplify]: Simplify (+ 0 0) into 0 12.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 12.601 * [backup-simplify]: Simplify (+ 0 0) into 0 12.601 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.607 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.610 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 12.610 * [backup-simplify]: Simplify (- 0) into 0 12.610 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.612 * [backup-simplify]: Simplify (- (/ 1/8 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 1/8 12.612 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 12.612 * [backup-simplify]: Simplify 1/8 into 1/8 12.612 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 x)) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 x)) 4)) (* 69/1024 (pow (/ 1 (/ 1 x)) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 12.613 * [backup-simplify]: Simplify (fma 69/1024 (* (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- x))) (- 1/8 (* (* (/ 1 (- x)) (/ 1 (- x))) 11/128)))) into (fma 69/1024 (/ 1 (pow x 6)) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 12.613 * [approximate]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in (x) around 0 12.613 * [taylor]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 12.613 * [taylor]: Rewrote expression to (+ (* 69/1024 (/ 1 (pow x 6))) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 12.613 * [taylor]: Taking taylor expansion of (* 69/1024 (/ 1 (pow x 6))) in x 12.613 * [taylor]: Taking taylor expansion of 69/1024 in x 12.613 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 12.613 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.613 * [taylor]: Taking taylor expansion of x in x 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.613 * [backup-simplify]: Simplify (* 1 1) into 1 12.614 * [backup-simplify]: Simplify (* 1 1) into 1 12.614 * [backup-simplify]: Simplify (* 1 1) into 1 12.614 * [backup-simplify]: Simplify (/ 1 1) into 1 12.614 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 12.614 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 12.614 * [taylor]: Taking taylor expansion of 1/8 in x 12.614 * [backup-simplify]: Simplify 1/8 into 1/8 12.614 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 12.614 * [taylor]: Taking taylor expansion of 11/128 in x 12.614 * [backup-simplify]: Simplify 11/128 into 11/128 12.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.614 * [taylor]: Taking taylor expansion of x in x 12.614 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify 1 into 1 12.614 * [backup-simplify]: Simplify (* 1 1) into 1 12.615 * [backup-simplify]: Simplify (/ 1 1) into 1 12.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.615 * [taylor]: Taking taylor expansion of x in x 12.615 * [backup-simplify]: Simplify 0 into 0 12.615 * [backup-simplify]: Simplify 1 into 1 12.615 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.615 * [backup-simplify]: Simplify (- 11/128) into -11/128 12.616 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.616 * [backup-simplify]: Simplify (* 1 1) into 1 12.616 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 12.616 * [taylor]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 12.616 * [taylor]: Rewrote expression to (+ (* 69/1024 (/ 1 (pow x 6))) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 12.616 * [taylor]: Taking taylor expansion of (* 69/1024 (/ 1 (pow x 6))) in x 12.616 * [taylor]: Taking taylor expansion of 69/1024 in x 12.616 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 12.616 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.616 * [taylor]: Taking taylor expansion of x in x 12.616 * [backup-simplify]: Simplify 0 into 0 12.616 * [backup-simplify]: Simplify 1 into 1 12.617 * [backup-simplify]: Simplify (* 1 1) into 1 12.617 * [backup-simplify]: Simplify (* 1 1) into 1 12.617 * [backup-simplify]: Simplify (* 1 1) into 1 12.617 * [backup-simplify]: Simplify (/ 1 1) into 1 12.617 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 12.617 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 12.617 * [taylor]: Taking taylor expansion of 1/8 in x 12.617 * [backup-simplify]: Simplify 1/8 into 1/8 12.617 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 12.617 * [taylor]: Taking taylor expansion of 11/128 in x 12.617 * [backup-simplify]: Simplify 11/128 into 11/128 12.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.617 * [taylor]: Taking taylor expansion of x in x 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify 1 into 1 12.618 * [backup-simplify]: Simplify (* 1 1) into 1 12.618 * [backup-simplify]: Simplify (/ 1 1) into 1 12.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.618 * [taylor]: Taking taylor expansion of x in x 12.618 * [backup-simplify]: Simplify 0 into 0 12.618 * [backup-simplify]: Simplify 1 into 1 12.618 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.619 * [backup-simplify]: Simplify (- 11/128) into -11/128 12.619 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.619 * [backup-simplify]: Simplify (* 1 1) into 1 12.619 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 12.620 * [backup-simplify]: Simplify (* 69/1024 1) into 69/1024 12.620 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 12.620 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.622 * [backup-simplify]: Simplify (+ (* 69/1024 0) (* 0 1)) into 0 12.622 * [backup-simplify]: Simplify (+ 0 0) into 0 12.622 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.625 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (* 0 1))) into 0 12.626 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.626 * [backup-simplify]: Simplify -11/128 into -11/128 12.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.629 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.630 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 12.630 * [backup-simplify]: Simplify (- 0) into 0 12.631 * [backup-simplify]: Simplify (+ 0 0) into 0 12.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 12.632 * [backup-simplify]: Simplify (+ 0 0) into 0 12.632 * [backup-simplify]: Simplify 0 into 0 12.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.635 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.637 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 12.637 * [backup-simplify]: Simplify (- 0) into 0 12.638 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.639 * [backup-simplify]: Simplify (- (/ 1/8 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 1/8 12.639 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 12.639 * [backup-simplify]: Simplify 1/8 into 1/8 12.639 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 (- x))) 4)) (* 69/1024 (pow (/ 1 (/ 1 (- x))) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 12.640 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 2 2) 12.640 * [backup-simplify]: Simplify (* (* x x) 11/128) into (* 11/128 (pow x 2)) 12.640 * [approximate]: Taking taylor expansion of (* 11/128 (pow x 2)) in (x) around 0 12.640 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 12.640 * [taylor]: Taking taylor expansion of 11/128 in x 12.640 * [backup-simplify]: Simplify 11/128 into 11/128 12.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.640 * [taylor]: Taking taylor expansion of x in x 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 12.640 * [taylor]: Taking taylor expansion of 11/128 in x 12.640 * [backup-simplify]: Simplify 11/128 into 11/128 12.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.640 * [taylor]: Taking taylor expansion of x in x 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [backup-simplify]: Simplify (* 1 1) into 1 12.640 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.640 * [backup-simplify]: Simplify 11/128 into 11/128 12.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.641 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 12.641 * [backup-simplify]: Simplify 0 into 0 12.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.642 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 12.642 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.644 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.645 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.645 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.647 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.647 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.649 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify (* 11/128 (pow x 2)) into (* 11/128 (pow x 2)) 12.649 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) 11/128) into (/ 11/128 (pow x 2)) 12.649 * [approximate]: Taking taylor expansion of (/ 11/128 (pow x 2)) in (x) around 0 12.649 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 12.649 * [taylor]: Taking taylor expansion of 11/128 in x 12.649 * [backup-simplify]: Simplify 11/128 into 11/128 12.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.649 * [taylor]: Taking taylor expansion of x in x 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify 1 into 1 12.649 * [backup-simplify]: Simplify (* 1 1) into 1 12.650 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 12.650 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 12.650 * [taylor]: Taking taylor expansion of 11/128 in x 12.650 * [backup-simplify]: Simplify 11/128 into 11/128 12.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.650 * [taylor]: Taking taylor expansion of x in x 12.650 * [backup-simplify]: Simplify 0 into 0 12.650 * [backup-simplify]: Simplify 1 into 1 12.650 * [backup-simplify]: Simplify (* 1 1) into 1 12.650 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 12.650 * [backup-simplify]: Simplify 11/128 into 11/128 12.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)))) into 0 12.651 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.654 * [backup-simplify]: Simplify 0 into 0 12.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.656 * [backup-simplify]: Simplify 0 into 0 12.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.657 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.661 * [backup-simplify]: Simplify 0 into 0 12.661 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (/ 1 x)) 2)) into (* 11/128 (pow x 2)) 12.661 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) 11/128) into (/ 11/128 (pow x 2)) 12.661 * [approximate]: Taking taylor expansion of (/ 11/128 (pow x 2)) in (x) around 0 12.661 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 12.661 * [taylor]: Taking taylor expansion of 11/128 in x 12.661 * [backup-simplify]: Simplify 11/128 into 11/128 12.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.661 * [taylor]: Taking taylor expansion of x in x 12.661 * [backup-simplify]: Simplify 0 into 0 12.661 * [backup-simplify]: Simplify 1 into 1 12.661 * [backup-simplify]: Simplify (* 1 1) into 1 12.662 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 12.662 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 12.662 * [taylor]: Taking taylor expansion of 11/128 in x 12.662 * [backup-simplify]: Simplify 11/128 into 11/128 12.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.662 * [taylor]: Taking taylor expansion of x in x 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify 1 into 1 12.662 * [backup-simplify]: Simplify (* 1 1) into 1 12.662 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 12.662 * [backup-simplify]: Simplify 11/128 into 11/128 12.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)))) into 0 12.663 * [backup-simplify]: Simplify 0 into 0 12.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.665 * [backup-simplify]: Simplify 0 into 0 12.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.666 * [backup-simplify]: Simplify 0 into 0 12.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.667 * [backup-simplify]: Simplify 0 into 0 12.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.669 * [backup-simplify]: Simplify 0 into 0 12.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.670 * [backup-simplify]: Simplify 0 into 0 12.670 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (/ 1 (- x))) 2)) into (* 11/128 (pow x 2)) 12.671 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 12.671 * [backup-simplify]: Simplify (* (* x x) x) into (pow x 3) 12.671 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 12.671 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.671 * [taylor]: Taking taylor expansion of x in x 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify 1 into 1 12.671 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.671 * [taylor]: Taking taylor expansion of x in x 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify 1 into 1 12.671 * [backup-simplify]: Simplify (* 1 1) into 1 12.671 * [backup-simplify]: Simplify (* 1 1) into 1 12.671 * [backup-simplify]: Simplify 1 into 1 12.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.673 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.675 * [backup-simplify]: Simplify 0 into 0 12.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.676 * [backup-simplify]: Simplify 0 into 0 12.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.678 * [backup-simplify]: Simplify 0 into 0 12.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.680 * [backup-simplify]: Simplify 0 into 0 12.680 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 12.680 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (/ 1 (pow x 3)) 12.680 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 12.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 12.680 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.680 * [taylor]: Taking taylor expansion of x in x 12.680 * [backup-simplify]: Simplify 0 into 0 12.680 * [backup-simplify]: Simplify 1 into 1 12.681 * [backup-simplify]: Simplify (* 1 1) into 1 12.681 * [backup-simplify]: Simplify (* 1 1) into 1 12.681 * [backup-simplify]: Simplify (/ 1 1) into 1 12.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 12.681 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.681 * [taylor]: Taking taylor expansion of x in x 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify 1 into 1 12.681 * [backup-simplify]: Simplify (* 1 1) into 1 12.682 * [backup-simplify]: Simplify (* 1 1) into 1 12.682 * [backup-simplify]: Simplify (/ 1 1) into 1 12.682 * [backup-simplify]: Simplify 1 into 1 12.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.685 * [backup-simplify]: Simplify 0 into 0 12.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.687 * [backup-simplify]: Simplify 0 into 0 12.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.689 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.691 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.694 * [backup-simplify]: Simplify 0 into 0 12.694 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 12.694 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (/ -1 (pow x 3)) 12.694 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 12.694 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 12.694 * [taylor]: Taking taylor expansion of -1 in x 12.694 * [backup-simplify]: Simplify -1 into -1 12.694 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.694 * [taylor]: Taking taylor expansion of x in x 12.694 * [backup-simplify]: Simplify 0 into 0 12.694 * [backup-simplify]: Simplify 1 into 1 12.695 * [backup-simplify]: Simplify (* 1 1) into 1 12.695 * [backup-simplify]: Simplify (* 1 1) into 1 12.695 * [backup-simplify]: Simplify (/ -1 1) into -1 12.695 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 12.695 * [taylor]: Taking taylor expansion of -1 in x 12.695 * [backup-simplify]: Simplify -1 into -1 12.695 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.695 * [taylor]: Taking taylor expansion of x in x 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify 1 into 1 12.695 * [backup-simplify]: Simplify (* 1 1) into 1 12.696 * [backup-simplify]: Simplify (* 1 1) into 1 12.696 * [backup-simplify]: Simplify (/ -1 1) into -1 12.696 * [backup-simplify]: Simplify -1 into -1 12.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.697 * [backup-simplify]: Simplify 0 into 0 12.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.702 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.704 * [backup-simplify]: Simplify 0 into 0 12.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.706 * [backup-simplify]: Simplify 0 into 0 12.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.709 * [backup-simplify]: Simplify 0 into 0 12.709 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 12.709 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.709 * [backup-simplify]: Simplify (* (* x x) x) into (pow x 3) 12.709 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 12.709 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.709 * [taylor]: Taking taylor expansion of x in x 12.709 * [backup-simplify]: Simplify 0 into 0 12.709 * [backup-simplify]: Simplify 1 into 1 12.709 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.709 * [taylor]: Taking taylor expansion of x in x 12.709 * [backup-simplify]: Simplify 0 into 0 12.709 * [backup-simplify]: Simplify 1 into 1 12.709 * [backup-simplify]: Simplify (* 1 1) into 1 12.710 * [backup-simplify]: Simplify (* 1 1) into 1 12.710 * [backup-simplify]: Simplify 1 into 1 12.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.713 * [backup-simplify]: Simplify 0 into 0 12.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.714 * [backup-simplify]: Simplify 0 into 0 12.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.716 * [backup-simplify]: Simplify 0 into 0 12.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 12.718 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (/ 1 (pow x 3)) 12.718 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 12.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 12.718 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.718 * [taylor]: Taking taylor expansion of x in x 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify 1 into 1 12.718 * [backup-simplify]: Simplify (* 1 1) into 1 12.719 * [backup-simplify]: Simplify (* 1 1) into 1 12.719 * [backup-simplify]: Simplify (/ 1 1) into 1 12.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 12.719 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.719 * [taylor]: Taking taylor expansion of x in x 12.719 * [backup-simplify]: Simplify 0 into 0 12.719 * [backup-simplify]: Simplify 1 into 1 12.719 * [backup-simplify]: Simplify (* 1 1) into 1 12.719 * [backup-simplify]: Simplify (* 1 1) into 1 12.720 * [backup-simplify]: Simplify (/ 1 1) into 1 12.720 * [backup-simplify]: Simplify 1 into 1 12.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.721 * [backup-simplify]: Simplify 0 into 0 12.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.723 * [backup-simplify]: Simplify 0 into 0 12.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.725 * [backup-simplify]: Simplify 0 into 0 12.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.727 * [backup-simplify]: Simplify 0 into 0 12.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.729 * [backup-simplify]: Simplify 0 into 0 12.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.731 * [backup-simplify]: Simplify 0 into 0 12.731 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 12.732 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (/ -1 (pow x 3)) 12.732 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 12.732 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 12.732 * [taylor]: Taking taylor expansion of -1 in x 12.732 * [backup-simplify]: Simplify -1 into -1 12.732 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.732 * [taylor]: Taking taylor expansion of x in x 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify 1 into 1 12.732 * [backup-simplify]: Simplify (* 1 1) into 1 12.732 * [backup-simplify]: Simplify (* 1 1) into 1 12.732 * [backup-simplify]: Simplify (/ -1 1) into -1 12.732 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 12.733 * [taylor]: Taking taylor expansion of -1 in x 12.733 * [backup-simplify]: Simplify -1 into -1 12.733 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.733 * [taylor]: Taking taylor expansion of x in x 12.733 * [backup-simplify]: Simplify 0 into 0 12.733 * [backup-simplify]: Simplify 1 into 1 12.733 * [backup-simplify]: Simplify (* 1 1) into 1 12.733 * [backup-simplify]: Simplify (* 1 1) into 1 12.733 * [backup-simplify]: Simplify (/ -1 1) into -1 12.733 * [backup-simplify]: Simplify -1 into -1 12.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.736 * [backup-simplify]: Simplify 0 into 0 12.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.738 * [backup-simplify]: Simplify 0 into 0 12.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.740 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.743 * [backup-simplify]: Simplify 0 into 0 12.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 12.745 * * * [progress]: simplifying candidates 12.745 * * * * [progress]: [ 1 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 2 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 3 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 4 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 5 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 6 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 7 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 8 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 9 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 10 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 11 / 107 ] simplifiying candidate #real (real->posit16 (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128)))))))> 12.746 * * * * [progress]: [ 12 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 13 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 14 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 15 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 16 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 17 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 18 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 19 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 20 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 21 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 22 / 107 ] simplifiying candidate # 12.746 * * * * [progress]: [ 23 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 24 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 25 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 26 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 27 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 28 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 29 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 30 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 31 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 32 / 107 ] simplifiying candidate #real (real->posit16 (* (* x x) 11/128)))))))> 12.747 * * * * [progress]: [ 33 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 34 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 35 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 36 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 37 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 38 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 39 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 40 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 41 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 42 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 43 / 107 ] simplifiying candidate # 12.747 * * * * [progress]: [ 44 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 45 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 46 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 47 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 48 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 49 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 50 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 51 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 52 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 53 / 107 ] simplifiying candidate # 12.748 * * * * [progress]: [ 54 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 55 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 56 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 57 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 58 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 59 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 60 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 61 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 62 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 63 / 107 ] simplifiying candidate #real (real->posit16 (* (* x x) x)))) (* (* x x) (- 1/8 (* (* x x) 11/128)))))> 12.749 * * * * [progress]: [ 64 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 65 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 66 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 67 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 68 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 69 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 70 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 71 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 72 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 73 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 74 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 75 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 76 / 107 ] simplifiying candidate # 12.749 * * * * [progress]: [ 77 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 78 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 79 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 80 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 81 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 82 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 83 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 84 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 85 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 86 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 87 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 88 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 89 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 90 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 91 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 92 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 93 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 94 / 107 ] simplifiying candidate #real (real->posit16 (* (* x x) x))) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128)))))> 12.750 * * * * [progress]: [ 95 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 96 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 97 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 98 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 99 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 100 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 101 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 102 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 103 / 107 ] simplifiying candidate # 12.750 * * * * [progress]: [ 104 / 107 ] simplifiying candidate # 12.751 * * * * [progress]: [ 105 / 107 ] simplifiying candidate # 12.751 * * * * [progress]: [ 106 / 107 ] simplifiying candidate # 12.751 * * * * [progress]: [ 107 / 107 ] simplifiying candidate # 12.751 * [simplify]: Simplifying: (expm1 (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (log1p (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (* 69/1024 (* (* (* x x) x) (* (* x x) x))) (log (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (exp (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (* (cbrt (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (cbrt (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128)))))) (cbrt (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (* (* (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128)))) (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (sqrt (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (sqrt (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (real->posit16 (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* x x) (- 1/8 (* (* x x) 11/128))))) (expm1 (* (* x x) 11/128)) (log1p (* (* x x) 11/128)) (* (* x x) 11/128) (* (* x x) 11/128) (+ (+ (log x) (log x)) (log 11/128)) (+ (log (* x x)) (log 11/128)) (log (* (* x x) 11/128)) (exp (* (* x x) 11/128)) (* (* (* (* x x) x) (* (* x x) x)) (* (* 11/128 11/128) 11/128)) (* (* (* (* x x) (* x x)) (* x x)) (* (* 11/128 11/128) 11/128)) (* (cbrt (* (* x x) 11/128)) (cbrt (* (* x x) 11/128))) (cbrt (* (* x x) 11/128)) (* (* (* (* x x) 11/128) (* (* x x) 11/128)) (* (* x x) 11/128)) (sqrt (* (* x x) 11/128)) (sqrt (* (* x x) 11/128)) (* x (sqrt 11/128)) (* x (sqrt 11/128)) (* (* x x) (* (cbrt 11/128) (cbrt 11/128))) (* (* x x) (sqrt 11/128)) (* (* x x) 1) (* x 11/128) (real->posit16 (* (* x x) 11/128)) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* x x) x) (* (* x x) x) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log x) (log x)) (log x)) (+ (log (* x x)) (log x)) (log (* (* x x) x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (cbrt (* (* x x) x)) (cbrt (* (* x x) x))) (cbrt (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x x) (* (cbrt x) (cbrt x))) (* (* x x) (sqrt x)) (* (* x x) 1) (* x x) (real->posit16 (* (* x x) x)) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* x x) x) (* (* x x) x) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log x) (log x)) (log x)) (+ (log (* x x)) (log x)) (log (* (* x x) x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (cbrt (* (* x x) x)) (cbrt (* (* x x) x))) (cbrt (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x x) (* (cbrt x) (cbrt x))) (* (* x x) (sqrt x)) (* (* x x) 1) (* x x) (real->posit16 (* (* x x) x)) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (* 11/128 (pow x 2)) (* 11/128 (pow x 2)) (* 11/128 (pow x 2)) (pow x 3) (pow x 3) (pow x 3) (pow x 3) (pow x 3) (pow x 3) 12.752 * * [simplify]: iteration 1: (90 enodes) 12.778 * * [simplify]: iteration 2: (200 enodes) 12.868 * * [simplify]: iteration 3: (584 enodes) 13.632 * * [simplify]: iteration 4: (1908 enodes) 16.577 * * [simplify]: Extracting #0: cost 39 inf + 0 16.579 * * [simplify]: Extracting #1: cost 336 inf + 43 16.597 * * [simplify]: Extracting #2: cost 969 inf + 12427 16.663 * * [simplify]: Extracting #3: cost 779 inf + 125939 16.780 * * [simplify]: Extracting #4: cost 138 inf + 366396 16.905 * * [simplify]: Extracting #5: cost 1 inf + 427351 17.040 * * [simplify]: Extracting #6: cost 0 inf + 426513 17.152 * [simplify]: Simplified to: (expm1 (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (log1p (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (* (* (* x x) (* (* x x) (* x x))) 69/1024) (log (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (exp (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (* (cbrt (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (cbrt (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8)))) (cbrt (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (* (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8)) (* (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8)) (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8)))) (sqrt (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (sqrt (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (real->posit16 (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8))) (expm1 (* 11/128 (* x x))) (log1p (* 11/128 (* x x))) (* 11/128 (* x x)) (* 11/128 (* x x)) (log (* 11/128 (* x x))) (log (* 11/128 (* x x))) (log (* 11/128 (* x x))) (exp (* 11/128 (* x x))) (* (* 11/128 (* x x)) (* (* 11/128 (* x x)) (* 11/128 (* x x)))) (* (* 11/128 (* x x)) (* (* 11/128 (* x x)) (* 11/128 (* x x)))) (* (cbrt (* 11/128 (* x x))) (cbrt (* 11/128 (* x x)))) (cbrt (* 11/128 (* x x))) (* (* 11/128 (* x x)) (* (* 11/128 (* x x)) (* 11/128 (* x x)))) (sqrt (* 11/128 (* x x))) (sqrt (* 11/128 (* x x))) (* x (sqrt 11/128)) (* x (sqrt 11/128)) (* (* x (cbrt 11/128)) (* x (cbrt 11/128))) (* (* x x) (sqrt 11/128)) (* x x) (* 11/128 x) (real->posit16 (* 11/128 (* x x))) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) 3 3 3 3 (* (* x x) x) (* (* x x) x) 3 3 3 3 (* (log x) 3) (* (log x) 3) (* (log x) 3) (exp (* (* x x) x)) (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* x x) x (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* (cbrt x) x) (* (cbrt x) x)) (* (* x x) (sqrt x)) (* x x) (* x x) (real->posit16 (* (* x x) x)) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) 3 3 3 3 (* (* x x) x) (* (* x x) x) 3 3 3 3 (* (log x) 3) (* (log x) 3) (* (log x) 3) (exp (* (* x x) x)) (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* x x) x (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* (cbrt x) x) (* (cbrt x) x)) (* (* x x) (sqrt x)) (* x x) (* x x) (real->posit16 (* (* x x) x)) (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8)) (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8)) (* (* x x) (+ (* (* x x) (fma 69/1024 (* x x) -11/128)) 1/8)) (* 11/128 (* x x)) (* 11/128 (* x x)) (* 11/128 (* x x)) (* (* x x) x) (* (* x x) x) (* (* x x) x) (* (* x x) x) (* (* x x) x) (* (* x x) x) 17.158 * * * [progress]: adding candidates to table 17.438 * [progress]: [Phase 3 of 3] Extracting. 17.438 * * [regime]: Finding splitpoints for: (# # #real (real->posit16 (* (* x x) 11/128)))))))>) 17.439 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 17.439 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #real (real->posit16 (* (* x x) 11/128)))))))>) 17.496 * * * * [regimes]: Trying to branch on x from (# # #real (real->posit16 (* (* x x) 11/128)))))))>) 17.539 * * * [regime]: Found split indices: #