41.587 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.105 * * * [progress]: [2/2] Setting up program. 0.109 * [progress]: [Phase 2 of 3] Improving. 0.109 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.110 * [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 0.131 * * [simplify]: Extracting #1: cost 4 inf + 0 0.131 * * [simplify]: Extracting #2: cost 4 inf + 1 0.131 * * [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 0.132 * * [simplify]: Extracting #7: cost 0 inf + 1144 0.133 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.155 * * * * [pick]: Picked # 0.155 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.213 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.226 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.226 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.236 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.236 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of 1/2 in x 0.236 * [backup-simplify]: Simplify 1/2 into 1/2 0.236 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.236 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.236 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (* x x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (* 0 0) into 0 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (sqrt 1) into 1 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of 1/2 in x 0.247 * [backup-simplify]: Simplify 1/2 into 1/2 0.247 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.247 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.248 * [backup-simplify]: Simplify (sqrt 1) into 1 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.249 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.249 * [taylor]: Taking taylor expansion of 1 in x 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.249 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of 1/2 in x 0.250 * [backup-simplify]: Simplify 1/2 into 1/2 0.250 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.250 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.250 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.250 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (* x x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (* 0 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.251 * [backup-simplify]: Simplify (sqrt 1) into 1 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [taylor]: Taking taylor expansion of 1/2 in x 0.253 * [backup-simplify]: Simplify 1/2 into 1/2 0.253 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.253 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.253 * [backup-simplify]: Simplify (sqrt 1) into 1 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.255 * [backup-simplify]: Simplify (- 1) into -1 0.256 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.257 * [backup-simplify]: Simplify (+ 0 1) into 1 0.258 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.260 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.260 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.260 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.261 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.261 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.261 * [backup-simplify]: Simplify 1/8 into 1/8 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.271 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.272 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.272 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.273 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.273 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.273 * [backup-simplify]: Simplify -11/128 into -11/128 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.287 * [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 0.289 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.290 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.292 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.292 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.293 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.293 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.294 * [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))) 0.294 * [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))) 0.294 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.294 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.294 * [taylor]: Taking taylor expansion of 1/2 in x 0.294 * [backup-simplify]: Simplify 1/2 into 1/2 0.294 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.294 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.294 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ 0 1) into 1 0.296 * [backup-simplify]: Simplify (sqrt 1) into 1 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of 1/2 in x 0.300 * [backup-simplify]: Simplify 1/2 into 1/2 0.300 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.301 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.301 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.302 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.303 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.303 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.303 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.303 * [taylor]: Taking taylor expansion of 1/2 in x 0.303 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.304 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.304 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.304 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.304 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.304 * [taylor]: Taking taylor expansion of 1 in x 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of 1 in x 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [backup-simplify]: Simplify (sqrt 1) into 1 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of 1/2 in x 0.310 * [backup-simplify]: Simplify 1/2 into 1/2 0.310 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.311 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.311 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.311 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.312 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.313 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.314 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.314 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.315 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.318 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.319 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.325 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.328 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.330 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.333 * [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))) 0.333 * [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))) 0.333 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.333 * [taylor]: Taking taylor expansion of 1 in x 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [backup-simplify]: Simplify 1/2 into 1/2 0.333 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.333 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.333 * [taylor]: Taking taylor expansion of 1 in x 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of 1 in x 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.333 * [taylor]: Taking taylor expansion of -1 in x 0.333 * [backup-simplify]: Simplify -1 into -1 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ -1 1) into -1 0.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [backup-simplify]: Simplify -1 into -1 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ -1 1) into -1 0.334 * [backup-simplify]: Simplify (* -1 -1) into 1 0.335 * [backup-simplify]: Simplify (+ 0 1) into 1 0.335 * [backup-simplify]: Simplify (sqrt 1) into 1 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of 1/2 in x 0.337 * [backup-simplify]: Simplify 1/2 into 1/2 0.337 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.338 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.338 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.338 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.339 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.339 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.339 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of 1/2 in x 0.339 * [backup-simplify]: Simplify 1/2 into 1/2 0.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.339 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [backup-simplify]: Simplify -1 into -1 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ -1 1) into -1 0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [backup-simplify]: Simplify -1 into -1 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ -1 1) into -1 0.341 * [backup-simplify]: Simplify (* -1 -1) into 1 0.343 * [backup-simplify]: Simplify (+ 0 1) into 1 0.343 * [backup-simplify]: Simplify (sqrt 1) into 1 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of 1/2 in x 0.345 * [backup-simplify]: Simplify 1/2 into 1/2 0.346 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.346 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.346 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.348 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.348 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.349 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.350 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.351 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.353 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.354 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.361 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.363 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.365 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.368 * [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)) 0.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.368 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 x))) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.368 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.368 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of 1/2 in x 0.368 * [backup-simplify]: Simplify 1/2 into 1/2 0.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.368 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.368 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of (* x x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (* 0 0) into 0 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (sqrt 1) into 1 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of 1/2 in x 0.372 * [backup-simplify]: Simplify 1/2 into 1/2 0.372 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of 1/2 in x 0.372 * [backup-simplify]: Simplify 1/2 into 1/2 0.372 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.372 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.372 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.372 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of (* x x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.372 * [backup-simplify]: Simplify (* 0 0) into 0 0.373 * [backup-simplify]: Simplify (+ 1 0) into 1 0.373 * [backup-simplify]: Simplify (sqrt 1) into 1 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [taylor]: Taking taylor expansion of 1/2 in x 0.375 * [backup-simplify]: Simplify 1/2 into 1/2 0.375 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.375 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.378 * [backup-simplify]: Simplify (+ 0 1) into 1 0.379 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.380 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.380 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.380 * [backup-simplify]: Simplify -1/4 into -1/4 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.389 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.389 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.389 * [backup-simplify]: Simplify 3/16 into 3/16 0.389 * [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))) 0.390 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.390 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.390 * [taylor]: Taking taylor expansion of 1/2 in x 0.390 * [backup-simplify]: Simplify 1/2 into 1/2 0.390 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.390 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [taylor]: Taking taylor expansion of 1/2 in x 0.395 * [backup-simplify]: Simplify 1/2 into 1/2 0.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.395 * [taylor]: Taking taylor expansion of 1/2 in x 0.395 * [backup-simplify]: Simplify 1/2 into 1/2 0.396 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.396 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.396 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [taylor]: Taking taylor expansion of (/ 1 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 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (+ 0 1) into 1 0.398 * [backup-simplify]: Simplify (sqrt 1) into 1 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of 1/2 in x 0.402 * [backup-simplify]: Simplify 1/2 into 1/2 0.402 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.402 * [backup-simplify]: Simplify 1/2 into 1/2 0.403 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.403 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.403 * [backup-simplify]: Simplify 1/2 into 1/2 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.409 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.412 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.413 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.413 * [backup-simplify]: Simplify -1/4 into -1/4 0.413 * [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)))) 0.414 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.414 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.414 * [taylor]: Taking taylor expansion of 1/2 in x 0.414 * [backup-simplify]: Simplify 1/2 into 1/2 0.414 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.414 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.414 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.414 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.414 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.414 * [taylor]: Taking taylor expansion of 1 in x 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of 1 in x 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.414 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.414 * [taylor]: Taking taylor expansion of -1 in x 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (/ -1 1) into -1 0.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.415 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (/ -1 1) into -1 0.416 * [backup-simplify]: Simplify (* -1 -1) into 1 0.416 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [backup-simplify]: Simplify (sqrt 1) into 1 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [taylor]: Taking taylor expansion of 1/2 in x 0.421 * [backup-simplify]: Simplify 1/2 into 1/2 0.421 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.421 * [taylor]: Taking taylor expansion of 1/2 in x 0.421 * [backup-simplify]: Simplify 1/2 into 1/2 0.421 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.421 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ -1 1) into -1 0.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [backup-simplify]: Simplify -1 into -1 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ -1 1) into -1 0.423 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of 1/2 in x 0.429 * [backup-simplify]: Simplify 1/2 into 1/2 0.429 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.429 * [backup-simplify]: Simplify 1/2 into 1/2 0.430 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.430 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.430 * [backup-simplify]: Simplify 1/2 into 1/2 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.439 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.440 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.440 * [backup-simplify]: Simplify -1/4 into -1/4 0.440 * [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))) 0.440 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.440 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.440 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.441 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x 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 (* x x) in x 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 * [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 0.442 * [backup-simplify]: Simplify (* 0 0) into 0 0.442 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (sqrt 1) into 1 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.445 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x 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 (* x x) in x 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 * [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 (* 0 0) into 0 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.447 * [backup-simplify]: Simplify (sqrt 1) into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.452 * [backup-simplify]: Simplify (+ 0 1) into 1 0.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.453 * [backup-simplify]: Simplify 1/2 into 1/2 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.464 * [backup-simplify]: Simplify -1/8 into -1/8 0.465 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 0.465 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.465 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.465 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.465 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.465 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.465 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.465 * [taylor]: Taking taylor expansion of 1 in x 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of 1 in x 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (+ 0 1) into 1 0.467 * [backup-simplify]: Simplify (sqrt 1) into 1 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.471 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.471 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.471 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.471 * [taylor]: Taking taylor expansion of 1 in x 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [taylor]: Taking taylor expansion of 1 in x 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (+ 0 1) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.482 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.482 * [backup-simplify]: Simplify 1/2 into 1/2 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.494 * [backup-simplify]: Simplify -1/8 into -1/8 0.494 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 0.494 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.494 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.494 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.494 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.494 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.494 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.494 * [taylor]: Taking taylor expansion of 1 in x 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of 1 in x 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.494 * [taylor]: Taking taylor expansion of -1 in x 0.494 * [backup-simplify]: Simplify -1 into -1 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ -1 1) into -1 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [backup-simplify]: Simplify -1 into -1 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ -1 1) into -1 0.496 * [backup-simplify]: Simplify (* -1 -1) into 1 0.497 * [backup-simplify]: Simplify (+ 0 1) into 1 0.497 * [backup-simplify]: Simplify (sqrt 1) into 1 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.500 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.501 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.501 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.501 * [taylor]: Taking taylor expansion of 1 in x 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of 1 in x 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ -1 1) into -1 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ -1 1) into -1 0.502 * [backup-simplify]: Simplify (* -1 -1) into 1 0.503 * [backup-simplify]: Simplify (+ 0 1) into 1 0.503 * [backup-simplify]: Simplify (sqrt 1) into 1 0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.512 * [backup-simplify]: Simplify 1/2 into 1/2 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.525 * [backup-simplify]: Simplify -1/8 into -1/8 0.525 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 0.525 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.525 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.525 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 1/2 in x 0.526 * [backup-simplify]: Simplify 1/2 into 1/2 0.526 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.526 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.526 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.526 * [taylor]: Taking taylor expansion of 1 in x 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of 1 in x 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (* x x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (* 0 0) into 0 0.527 * [backup-simplify]: Simplify (+ 1 0) into 1 0.528 * [backup-simplify]: Simplify (sqrt 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.531 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.531 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 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 (hypot 1 x) in x 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.531 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x 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 (* x x) in x 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 0.532 * [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 (* 0 0) into 0 0.533 * [backup-simplify]: Simplify (+ 1 0) into 1 0.533 * [backup-simplify]: Simplify (sqrt 1) into 1 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.536 * [backup-simplify]: Simplify 1/2 into 1/2 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.540 * [backup-simplify]: Simplify (+ 0 1) into 1 0.541 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.542 * [backup-simplify]: Simplify -1/4 into -1/4 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.553 * [backup-simplify]: Simplify 3/16 into 3/16 0.554 * [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))) 0.554 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.554 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.554 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of 1/2 in x 0.554 * [backup-simplify]: Simplify 1/2 into 1/2 0.554 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.554 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.554 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 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 (* (/ 1 x) (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 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 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (+ 0 1) into 1 0.557 * [backup-simplify]: Simplify (sqrt 1) into 1 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.560 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.560 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.560 * [taylor]: Taking taylor expansion of 1/2 in x 0.561 * [backup-simplify]: Simplify 1/2 into 1/2 0.561 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.561 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.561 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.561 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.561 * [taylor]: Taking taylor expansion of 1 in x 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [taylor]: Taking taylor expansion of 1 in x 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (+ 0 1) into 1 0.563 * [backup-simplify]: Simplify (sqrt 1) into 1 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.567 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.567 * [backup-simplify]: Simplify 1/2 into 1/2 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.574 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.575 * [backup-simplify]: Simplify -1/4 into -1/4 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.591 * [backup-simplify]: Simplify 3/16 into 3/16 0.591 * [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)))) 0.591 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.591 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (/ 1/2 (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 (hypot 1 (/ -1 x)) in x 0.591 * [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 -1 in x 0.592 * [backup-simplify]: Simplify -1 into -1 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 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [backup-simplify]: Simplify -1 into -1 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (/ -1 1) into -1 0.594 * [backup-simplify]: Simplify (* -1 -1) into 1 0.594 * [backup-simplify]: Simplify (+ 0 1) into 1 0.594 * [backup-simplify]: Simplify (sqrt 1) into 1 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.598 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.599 * [taylor]: Taking taylor expansion of 1/2 in x 0.599 * [backup-simplify]: Simplify 1/2 into 1/2 0.599 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.599 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.599 * [taylor]: Taking taylor expansion of 1 in x 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of 1 in x 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [backup-simplify]: Simplify -1 into -1 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (/ -1 1) into -1 0.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [backup-simplify]: Simplify -1 into -1 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ -1 1) into -1 0.600 * [backup-simplify]: Simplify (* -1 -1) into 1 0.601 * [backup-simplify]: Simplify (+ 0 1) into 1 0.601 * [backup-simplify]: Simplify (sqrt 1) into 1 0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.605 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.606 * [backup-simplify]: Simplify 1/2 into 1/2 0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.613 * [backup-simplify]: Simplify (+ 1 0) into 1 0.614 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.615 * [backup-simplify]: Simplify -1/4 into -1/4 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.631 * [backup-simplify]: Simplify 3/16 into 3/16 0.631 * [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)))) 0.631 * * * [progress]: simplifying candidates 0.631 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 0.631 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 0.631 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 0.631 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 12 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 13 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 14 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 15 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 16 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 17 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 18 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 19 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 20 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 21 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 22 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 23 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 24 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 25 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 26 / 117 ] simplifiying candidate # 0.632 * * * * [progress]: [ 27 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 28 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 29 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 30 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 46 / 117 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.633 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 0.633 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 56 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 57 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 60 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 63 / 117 ] simplifiying candidate #real (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.634 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 75 / 117 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))))))> 0.634 * * * * [progress]: [ 76 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 0.634 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 90 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 93 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 105 / 117 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.635 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 107 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 0.635 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 0.636 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 0.636 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 0.636 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 0.636 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 0.636 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 0.636 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 0.636 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 0.637 * [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 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5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 0.639 * * [simplify]: iteration 1: (212 enodes) 0.796 * * [simplify]: iteration 2: (492 enodes) 1.275 * * [simplify]: iteration 3: (1147 enodes) 3.389 * * [simplify]: Extracting #0: cost 89 inf + 0 3.391 * * [simplify]: Extracting #1: cost 378 inf + 3 3.396 * * [simplify]: Extracting #2: cost 575 inf + 2806 3.412 * * [simplify]: Extracting #3: cost 375 inf + 35976 3.445 * * [simplify]: Extracting #4: cost 195 inf + 77444 3.491 * * [simplify]: Extracting #5: cost 59 inf + 118331 3.520 * * [simplify]: Extracting #6: cost 1 inf + 142016 3.547 * * [simplify]: Extracting #7: cost 0 inf + 142329 3.599 * [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))))) (+ (fabs (cbrt (+ 1/2 (/ 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(/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) 1/8) (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) (+ (- 1 (+ (sqrt 1/2) (/ (/ 1/4 (sqrt 1/2)) x))) (/ 1/16 (* (* x x) (sqrt 1/2)))) (+ (+ (/ (/ 1/4 (sqrt 1/2)) x) (/ 1/16 (* (* x x) (sqrt 1/2)))) (- 1 (sqrt 1/2))) (fma -1/4 (* x x) (fma 3/16 (* (* x x) (* x x)) 1)) (+ (+ (/ 1/2 x) 1/2) (/ -1/4 (* x (* x x)))) (- 1/2 (+ (/ 1/2 x) (/ -1/4 (* x (* x x))))) (fma (* (* x x) (* x x)) -1/8 (fma (* x x) 1/2 1)) (- (/ 1/2 x) (- (/ 1/8 (* x (* x x))) x)) (+ (/ 1/8 (* x (* x x))) (- (/ -1/2 x) x)) (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))))) (- (/ (/ 1/4 x) (* x x)) (+ (/ 3/16 (pow x 5)) (/ 1/2 x))) 3.614 * * * [progress]: adding candidates to table 4.691 * * [progress]: iteration 2 / 4 4.692 * * * [progress]: picking best candidate 4.698 * * * * [pick]: Picked # 4.698 * * * [progress]: localizing error 4.726 * * * [progress]: generating rewritten candidates 4.726 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.739 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.767 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 4.767 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 4.770 * * * [progress]: generating series expansions 4.770 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.770 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 4.770 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 4.771 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.771 * [taylor]: Taking taylor expansion of 1/2 in x 4.771 * [backup-simplify]: Simplify 1/2 into 1/2 4.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.771 * [taylor]: Taking taylor expansion of 1/2 in x 4.771 * [backup-simplify]: Simplify 1/2 into 1/2 4.771 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.771 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.771 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.771 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.771 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.771 * [taylor]: Taking taylor expansion of 1 in x 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [taylor]: Taking taylor expansion of 1 in x 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [taylor]: Taking taylor expansion of (* x x) in x 4.771 * [taylor]: Taking taylor expansion of x in x 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [taylor]: Taking taylor expansion of x in x 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (* 1 1) into 1 4.772 * [backup-simplify]: Simplify (* 0 0) into 0 4.773 * [backup-simplify]: Simplify (+ 1 0) into 1 4.773 * [backup-simplify]: Simplify (sqrt 1) into 1 4.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.774 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.775 * [backup-simplify]: Simplify (+ 0 0) into 0 4.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.776 * [backup-simplify]: Simplify (/ 1 1) into 1 4.776 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.776 * [taylor]: Taking taylor expansion of 1/2 in x 4.776 * [backup-simplify]: Simplify 1/2 into 1/2 4.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.776 * [taylor]: Taking taylor expansion of 1/2 in x 4.776 * [backup-simplify]: Simplify 1/2 into 1/2 4.776 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.776 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.776 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.776 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.776 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.776 * [taylor]: Taking taylor expansion of 1 in x 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of 1 in x 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of (* x x) in x 4.776 * [taylor]: Taking taylor expansion of x in x 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of x in x 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (* 1 1) into 1 4.777 * [backup-simplify]: Simplify (* 0 0) into 0 4.778 * [backup-simplify]: Simplify (+ 1 0) into 1 4.778 * [backup-simplify]: Simplify (sqrt 1) into 1 4.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.779 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.780 * [backup-simplify]: Simplify (+ 0 0) into 0 4.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.781 * [backup-simplify]: Simplify (/ 1 1) into 1 4.781 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.782 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.782 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.784 * [backup-simplify]: Simplify (- 0) into 0 4.784 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.787 * [backup-simplify]: Simplify (+ 0 1) into 1 4.788 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.790 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.790 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.791 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.791 * [backup-simplify]: Simplify 1/4 into 1/4 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.794 * [backup-simplify]: Simplify (+ 0 0) into 0 4.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.798 * [backup-simplify]: Simplify (- 0) into 0 4.799 * [backup-simplify]: Simplify (+ 0 0) into 0 4.799 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.801 * [backup-simplify]: Simplify (+ 0 0) into 0 4.803 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.806 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.807 * [backup-simplify]: Simplify (- 3/16) into -3/16 4.807 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 4.807 * [backup-simplify]: Simplify -3/16 into -3/16 4.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.811 * [backup-simplify]: Simplify (+ 0 0) into 0 4.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 4.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 4.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 4.817 * [backup-simplify]: Simplify (- 0) into 0 4.817 * [backup-simplify]: Simplify (+ 0 0) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.819 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 4.823 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 4.823 * [backup-simplify]: Simplify (- -5/32) into 5/32 4.823 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 4.823 * [backup-simplify]: Simplify 5/32 into 5/32 4.824 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 4.824 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 4.824 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 4.824 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.824 * [taylor]: Taking taylor expansion of 1/2 in x 4.824 * [backup-simplify]: Simplify 1/2 into 1/2 4.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.824 * [taylor]: Taking taylor expansion of 1/2 in x 4.824 * [backup-simplify]: Simplify 1/2 into 1/2 4.824 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.824 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.824 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.824 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.824 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.824 * [taylor]: Taking taylor expansion of 1 in x 4.824 * [backup-simplify]: Simplify 1 into 1 4.824 * [taylor]: Taking taylor expansion of 1 in x 4.824 * [backup-simplify]: Simplify 1 into 1 4.824 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.824 * [taylor]: Taking taylor expansion of x in x 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 1 into 1 4.824 * [backup-simplify]: Simplify (/ 1 1) into 1 4.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.824 * [taylor]: Taking taylor expansion of x in x 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (/ 1 1) into 1 4.825 * [backup-simplify]: Simplify (* 1 1) into 1 4.825 * [backup-simplify]: Simplify (+ 0 1) into 1 4.825 * [backup-simplify]: Simplify (sqrt 1) into 1 4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.827 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.828 * [taylor]: Taking taylor expansion of 1/2 in x 4.828 * [backup-simplify]: Simplify 1/2 into 1/2 4.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.828 * [taylor]: Taking taylor expansion of 1/2 in x 4.828 * [backup-simplify]: Simplify 1/2 into 1/2 4.828 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.828 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.828 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.828 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.828 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.828 * [taylor]: Taking taylor expansion of 1 in x 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [taylor]: Taking taylor expansion of 1 in x 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.828 * [taylor]: Taking taylor expansion of x in x 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.828 * [taylor]: Taking taylor expansion of x in x 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (/ 1 1) into 1 4.829 * [backup-simplify]: Simplify (* 1 1) into 1 4.829 * [backup-simplify]: Simplify (+ 0 1) into 1 4.830 * [backup-simplify]: Simplify (sqrt 1) into 1 4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.831 * [backup-simplify]: Simplify (+ 0 0) into 0 4.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.832 * [backup-simplify]: Simplify (/ 1 1) into 1 4.832 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.832 * [backup-simplify]: Simplify 1/2 into 1/2 4.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.833 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.835 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.835 * [backup-simplify]: Simplify -1/2 into -1/2 4.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.837 * [backup-simplify]: Simplify (- 0) into 0 4.837 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify (* 1 1) into 1 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.839 * [backup-simplify]: Simplify (+ 1 0) into 1 4.840 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.841 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.842 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.842 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.842 * [backup-simplify]: Simplify 1/4 into 1/4 4.842 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 4.842 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 4.842 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 4.842 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.842 * [taylor]: Taking taylor expansion of 1/2 in x 4.842 * [backup-simplify]: Simplify 1/2 into 1/2 4.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.842 * [taylor]: Taking taylor expansion of 1/2 in x 4.842 * [backup-simplify]: Simplify 1/2 into 1/2 4.842 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.843 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.843 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.843 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.843 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.843 * [taylor]: Taking taylor expansion of 1 in x 4.843 * [backup-simplify]: Simplify 1 into 1 4.843 * [taylor]: Taking taylor expansion of 1 in x 4.843 * [backup-simplify]: Simplify 1 into 1 4.843 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.843 * [taylor]: Taking taylor expansion of -1 in x 4.843 * [backup-simplify]: Simplify -1 into -1 4.843 * [taylor]: Taking taylor expansion of x in x 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.843 * [backup-simplify]: Simplify (/ -1 1) into -1 4.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.843 * [taylor]: Taking taylor expansion of -1 in x 4.843 * [backup-simplify]: Simplify -1 into -1 4.843 * [taylor]: Taking taylor expansion of x in x 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.844 * [backup-simplify]: Simplify (/ -1 1) into -1 4.844 * [backup-simplify]: Simplify (* -1 -1) into 1 4.844 * [backup-simplify]: Simplify (+ 0 1) into 1 4.844 * [backup-simplify]: Simplify (sqrt 1) into 1 4.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.846 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.847 * [backup-simplify]: Simplify (/ 1 1) into 1 4.847 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.847 * [taylor]: Taking taylor expansion of 1/2 in x 4.847 * [backup-simplify]: Simplify 1/2 into 1/2 4.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.847 * [taylor]: Taking taylor expansion of 1/2 in x 4.847 * [backup-simplify]: Simplify 1/2 into 1/2 4.847 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.847 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.847 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.847 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.847 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.847 * [taylor]: Taking taylor expansion of 1 in x 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of 1 in x 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.847 * [taylor]: Taking taylor expansion of -1 in x 4.847 * [backup-simplify]: Simplify -1 into -1 4.847 * [taylor]: Taking taylor expansion of x in x 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (/ -1 1) into -1 4.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.848 * [taylor]: Taking taylor expansion of -1 in x 4.848 * [backup-simplify]: Simplify -1 into -1 4.848 * [taylor]: Taking taylor expansion of x in x 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (/ -1 1) into -1 4.848 * [backup-simplify]: Simplify (* -1 -1) into 1 4.848 * [backup-simplify]: Simplify (+ 0 1) into 1 4.849 * [backup-simplify]: Simplify (sqrt 1) into 1 4.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.850 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.850 * [backup-simplify]: Simplify (+ 0 0) into 0 4.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.851 * [backup-simplify]: Simplify 1/2 into 1/2 4.852 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.852 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.852 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.852 * [backup-simplify]: Simplify -1/2 into -1/2 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.853 * [backup-simplify]: Simplify (- 0) into 0 4.854 * [backup-simplify]: Simplify (+ 0 0) into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify (* 1 1) into 1 4.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.857 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.857 * [backup-simplify]: Simplify (+ 1 0) into 1 4.858 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.861 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.861 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.862 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.862 * [backup-simplify]: Simplify 1/4 into 1/4 4.862 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 4.862 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.862 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 4.862 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 4.862 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 4.862 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.863 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.863 * [taylor]: Taking taylor expansion of 1/2 in x 4.863 * [backup-simplify]: Simplify 1/2 into 1/2 4.863 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.863 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.863 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.863 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.863 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.863 * [taylor]: Taking taylor expansion of 1 in x 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [taylor]: Taking taylor expansion of 1 in x 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [taylor]: Taking taylor expansion of (* x x) in x 4.863 * [taylor]: Taking taylor expansion of x in x 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [taylor]: Taking taylor expansion of x in x 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (* 1 1) into 1 4.864 * [backup-simplify]: Simplify (* 0 0) into 0 4.864 * [backup-simplify]: Simplify (+ 1 0) into 1 4.865 * [backup-simplify]: Simplify (sqrt 1) into 1 4.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.866 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.867 * [backup-simplify]: Simplify (/ 1 1) into 1 4.867 * [taylor]: Taking taylor expansion of 1/2 in x 4.867 * [backup-simplify]: Simplify 1/2 into 1/2 4.868 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.868 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.869 * [backup-simplify]: Simplify (sqrt 1) into 1 4.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.871 * [backup-simplify]: Simplify (+ 0 0) into 0 4.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.871 * [taylor]: Taking taylor expansion of 1 in x 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 4.872 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.872 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.872 * [taylor]: Taking taylor expansion of 1/2 in x 4.872 * [backup-simplify]: Simplify 1/2 into 1/2 4.872 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.872 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.872 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.872 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.872 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.872 * [taylor]: Taking taylor expansion of 1 in x 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [taylor]: Taking taylor expansion of 1 in x 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [taylor]: Taking taylor expansion of (* x x) in x 4.872 * [taylor]: Taking taylor expansion of x in x 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [taylor]: Taking taylor expansion of x in x 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (* 1 1) into 1 4.873 * [backup-simplify]: Simplify (* 0 0) into 0 4.873 * [backup-simplify]: Simplify (+ 1 0) into 1 4.874 * [backup-simplify]: Simplify (sqrt 1) into 1 4.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.875 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.875 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.876 * [backup-simplify]: Simplify (/ 1 1) into 1 4.876 * [taylor]: Taking taylor expansion of 1/2 in x 4.876 * [backup-simplify]: Simplify 1/2 into 1/2 4.877 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.877 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.877 * [backup-simplify]: Simplify (sqrt 1) into 1 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.879 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.880 * [taylor]: Taking taylor expansion of 1 in x 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (+ 1 1) into 2 4.881 * [backup-simplify]: Simplify 2 into 2 4.881 * [backup-simplify]: Simplify (+ 0 0) into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.883 * [backup-simplify]: Simplify (+ 0 1) into 1 4.884 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.886 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.887 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 4.888 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 4.888 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.889 * [backup-simplify]: Simplify -1/8 into -1/8 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.891 * [backup-simplify]: Simplify (+ 0 0) into 0 4.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 4.898 * [backup-simplify]: Simplify (+ 0 0) into 0 4.898 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.901 * [backup-simplify]: Simplify (+ 0 0) into 0 4.902 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.906 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.907 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 4.908 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 4.909 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 4.909 * [backup-simplify]: Simplify 11/128 into 11/128 4.909 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 4.910 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 4.910 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 4.910 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 4.910 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.910 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.910 * [taylor]: Taking taylor expansion of 1/2 in x 4.910 * [backup-simplify]: Simplify 1/2 into 1/2 4.910 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.910 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.910 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.910 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.910 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.910 * [taylor]: Taking taylor expansion of 1 in x 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of 1 in x 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.910 * [taylor]: Taking taylor expansion of x in x 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.911 * [taylor]: Taking taylor expansion of x in x 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.912 * [backup-simplify]: Simplify (* 1 1) into 1 4.912 * [backup-simplify]: Simplify (+ 0 1) into 1 4.913 * [backup-simplify]: Simplify (sqrt 1) into 1 4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.915 * [backup-simplify]: Simplify (+ 0 0) into 0 4.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.917 * [backup-simplify]: Simplify (/ 1 1) into 1 4.917 * [taylor]: Taking taylor expansion of 1/2 in x 4.917 * [backup-simplify]: Simplify 1/2 into 1/2 4.917 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.918 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.918 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.919 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.921 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.921 * [taylor]: Taking taylor expansion of 1 in x 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 4.921 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.921 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.921 * [taylor]: Taking taylor expansion of 1/2 in x 4.921 * [backup-simplify]: Simplify 1/2 into 1/2 4.921 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.921 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.921 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.921 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.921 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.921 * [taylor]: Taking taylor expansion of 1 in x 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [taylor]: Taking taylor expansion of 1 in x 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.921 * [taylor]: Taking taylor expansion of x in x 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.922 * [taylor]: Taking taylor expansion of x in x 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.923 * [backup-simplify]: Simplify (* 1 1) into 1 4.923 * [backup-simplify]: Simplify (+ 0 1) into 1 4.924 * [backup-simplify]: Simplify (sqrt 1) into 1 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.927 * [backup-simplify]: Simplify (/ 1 1) into 1 4.927 * [taylor]: Taking taylor expansion of 1/2 in x 4.927 * [backup-simplify]: Simplify 1/2 into 1/2 4.928 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.928 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.929 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.931 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.931 * [taylor]: Taking taylor expansion of 1 in x 4.931 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.933 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.935 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 4.936 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.938 * [backup-simplify]: Simplify (+ 0 0) into 0 4.943 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.946 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.951 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.957 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 4.957 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 4.957 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 4.957 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.957 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.957 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.957 * [taylor]: Taking taylor expansion of 1/2 in x 4.957 * [backup-simplify]: Simplify 1/2 into 1/2 4.958 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.958 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.958 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.958 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.958 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.958 * [taylor]: Taking taylor expansion of 1 in x 4.958 * [backup-simplify]: Simplify 1 into 1 4.958 * [taylor]: Taking taylor expansion of 1 in x 4.958 * [backup-simplify]: Simplify 1 into 1 4.958 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.958 * [taylor]: Taking taylor expansion of -1 in x 4.958 * [backup-simplify]: Simplify -1 into -1 4.958 * [taylor]: Taking taylor expansion of x in x 4.958 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify 1 into 1 4.958 * [backup-simplify]: Simplify (/ -1 1) into -1 4.959 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.959 * [taylor]: Taking taylor expansion of -1 in x 4.959 * [backup-simplify]: Simplify -1 into -1 4.959 * [taylor]: Taking taylor expansion of x in x 4.959 * [backup-simplify]: Simplify 0 into 0 4.959 * [backup-simplify]: Simplify 1 into 1 4.959 * [backup-simplify]: Simplify (/ -1 1) into -1 4.960 * [backup-simplify]: Simplify (* -1 -1) into 1 4.961 * [backup-simplify]: Simplify (+ 0 1) into 1 4.961 * [backup-simplify]: Simplify (sqrt 1) into 1 4.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.964 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.964 * [backup-simplify]: Simplify (+ 0 0) into 0 4.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.965 * [backup-simplify]: Simplify (/ 1 1) into 1 4.965 * [taylor]: Taking taylor expansion of 1/2 in x 4.965 * [backup-simplify]: Simplify 1/2 into 1/2 4.966 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.966 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.967 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.967 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.968 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.968 * [taylor]: Taking taylor expansion of 1 in x 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.968 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.968 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.968 * [taylor]: Taking taylor expansion of 1/2 in x 4.968 * [backup-simplify]: Simplify 1/2 into 1/2 4.968 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.968 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.968 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.968 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.968 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.968 * [taylor]: Taking taylor expansion of 1 in x 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [taylor]: Taking taylor expansion of 1 in x 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.968 * [taylor]: Taking taylor expansion of -1 in x 4.968 * [backup-simplify]: Simplify -1 into -1 4.968 * [taylor]: Taking taylor expansion of x in x 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 1 into 1 4.969 * [backup-simplify]: Simplify (/ -1 1) into -1 4.969 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.969 * [taylor]: Taking taylor expansion of -1 in x 4.969 * [backup-simplify]: Simplify -1 into -1 4.969 * [taylor]: Taking taylor expansion of x in x 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify 1 into 1 4.969 * [backup-simplify]: Simplify (/ -1 1) into -1 4.969 * [backup-simplify]: Simplify (* -1 -1) into 1 4.970 * [backup-simplify]: Simplify (+ 0 1) into 1 4.970 * [backup-simplify]: Simplify (sqrt 1) into 1 4.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.974 * [backup-simplify]: Simplify (/ 1 1) into 1 4.974 * [taylor]: Taking taylor expansion of 1/2 in x 4.974 * [backup-simplify]: Simplify 1/2 into 1/2 4.974 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.975 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.975 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.975 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.976 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.976 * [taylor]: Taking taylor expansion of 1 in x 4.976 * [backup-simplify]: Simplify 1 into 1 4.977 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.977 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.978 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 4.979 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.981 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.985 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.988 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.991 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 4.991 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 4.991 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 4.991 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 4.991 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.991 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.991 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.991 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.992 * [taylor]: Taking taylor expansion of 1 in x 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [taylor]: Taking taylor expansion of 1 in x 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [taylor]: Taking taylor expansion of (* x x) in x 4.992 * [taylor]: Taking taylor expansion of x in x 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [taylor]: Taking taylor expansion of x in x 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (* 1 1) into 1 4.992 * [backup-simplify]: Simplify (* 0 0) into 0 4.992 * [backup-simplify]: Simplify (+ 1 0) into 1 4.993 * [backup-simplify]: Simplify (sqrt 1) into 1 4.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.993 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.994 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.994 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.994 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.994 * [taylor]: Taking taylor expansion of 1 in x 4.994 * [backup-simplify]: Simplify 1 into 1 4.994 * [taylor]: Taking taylor expansion of 1 in x 4.994 * [backup-simplify]: Simplify 1 into 1 4.994 * [taylor]: Taking taylor expansion of (* x x) in x 4.994 * [taylor]: Taking taylor expansion of x in x 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify 1 into 1 4.994 * [taylor]: Taking taylor expansion of x in x 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (* 1 1) into 1 4.995 * [backup-simplify]: Simplify (* 0 0) into 0 4.995 * [backup-simplify]: Simplify (+ 1 0) into 1 4.996 * [backup-simplify]: Simplify (sqrt 1) into 1 4.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.997 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.998 * [backup-simplify]: Simplify (+ 0 0) into 0 4.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.998 * [backup-simplify]: Simplify 1 into 1 4.998 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.001 * [backup-simplify]: Simplify (+ 0 1) into 1 5.002 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.002 * [backup-simplify]: Simplify 1/2 into 1/2 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.004 * [backup-simplify]: Simplify (+ 0 0) into 0 5.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.009 * [backup-simplify]: Simplify (+ 0 0) into 0 5.011 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.011 * [backup-simplify]: Simplify -1/8 into -1/8 5.011 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 5.011 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 5.011 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 5.011 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.011 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.011 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.011 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.011 * [taylor]: Taking taylor expansion of 1 in x 5.011 * [backup-simplify]: Simplify 1 into 1 5.011 * [taylor]: Taking taylor expansion of 1 in x 5.011 * [backup-simplify]: Simplify 1 into 1 5.011 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.011 * [taylor]: Taking taylor expansion of x in x 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (/ 1 1) into 1 5.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.012 * [taylor]: Taking taylor expansion of x in x 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (/ 1 1) into 1 5.013 * [backup-simplify]: Simplify (* 1 1) into 1 5.013 * [backup-simplify]: Simplify (+ 0 1) into 1 5.014 * [backup-simplify]: Simplify (sqrt 1) into 1 5.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.017 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.017 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.017 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.017 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.017 * [taylor]: Taking taylor expansion of 1 in x 5.017 * [backup-simplify]: Simplify 1 into 1 5.017 * [taylor]: Taking taylor expansion of 1 in x 5.017 * [backup-simplify]: Simplify 1 into 1 5.017 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.018 * [taylor]: Taking taylor expansion of x in x 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (/ 1 1) into 1 5.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.018 * [taylor]: Taking taylor expansion of x in x 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (/ 1 1) into 1 5.019 * [backup-simplify]: Simplify (* 1 1) into 1 5.019 * [backup-simplify]: Simplify (+ 0 1) into 1 5.020 * [backup-simplify]: Simplify (sqrt 1) into 1 5.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.022 * [backup-simplify]: Simplify (+ 0 0) into 0 5.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify (* 1 1) into 1 5.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.027 * [backup-simplify]: Simplify (+ 1 0) into 1 5.028 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.028 * [backup-simplify]: Simplify 1/2 into 1/2 5.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (+ 0 0) into 0 5.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.039 * [backup-simplify]: Simplify (+ 0 0) into 0 5.040 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.040 * [backup-simplify]: Simplify -1/8 into -1/8 5.041 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 5.041 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 5.041 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 5.041 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.041 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.041 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.041 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.041 * [taylor]: Taking taylor expansion of 1 in x 5.041 * [backup-simplify]: Simplify 1 into 1 5.041 * [taylor]: Taking taylor expansion of 1 in x 5.041 * [backup-simplify]: Simplify 1 into 1 5.041 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.041 * [taylor]: Taking taylor expansion of -1 in x 5.041 * [backup-simplify]: Simplify -1 into -1 5.041 * [taylor]: Taking taylor expansion of x in x 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 1 into 1 5.042 * [backup-simplify]: Simplify (/ -1 1) into -1 5.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.042 * [taylor]: Taking taylor expansion of -1 in x 5.042 * [backup-simplify]: Simplify -1 into -1 5.042 * [taylor]: Taking taylor expansion of x in x 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 1 into 1 5.042 * [backup-simplify]: Simplify (/ -1 1) into -1 5.043 * [backup-simplify]: Simplify (* -1 -1) into 1 5.043 * [backup-simplify]: Simplify (+ 0 1) into 1 5.044 * [backup-simplify]: Simplify (sqrt 1) into 1 5.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.046 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.046 * [backup-simplify]: Simplify (+ 0 0) into 0 5.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.047 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.047 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.047 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.047 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.047 * [taylor]: Taking taylor expansion of 1 in x 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of 1 in x 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.048 * [taylor]: Taking taylor expansion of -1 in x 5.048 * [backup-simplify]: Simplify -1 into -1 5.048 * [taylor]: Taking taylor expansion of x in x 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [backup-simplify]: Simplify (/ -1 1) into -1 5.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.048 * [taylor]: Taking taylor expansion of -1 in x 5.048 * [backup-simplify]: Simplify -1 into -1 5.048 * [taylor]: Taking taylor expansion of x in x 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify (/ -1 1) into -1 5.049 * [backup-simplify]: Simplify (* -1 -1) into 1 5.050 * [backup-simplify]: Simplify (+ 0 1) into 1 5.050 * [backup-simplify]: Simplify (sqrt 1) into 1 5.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.053 * [backup-simplify]: Simplify (+ 0 0) into 0 5.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.054 * [backup-simplify]: Simplify 1 into 1 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (* 1 1) into 1 5.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.058 * [backup-simplify]: Simplify (+ 1 0) into 1 5.059 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.059 * [backup-simplify]: Simplify 1/2 into 1/2 5.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.064 * [backup-simplify]: Simplify (+ 0 0) into 0 5.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.065 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.070 * [backup-simplify]: Simplify (+ 0 0) into 0 5.072 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.072 * [backup-simplify]: Simplify -1/8 into -1/8 5.072 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 5.072 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 5.072 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 5.073 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 5.073 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.073 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.073 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.073 * [taylor]: Taking taylor expansion of 1 in x 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [taylor]: Taking taylor expansion of 1 in x 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [taylor]: Taking taylor expansion of (* x x) in x 5.073 * [taylor]: Taking taylor expansion of x in x 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [taylor]: Taking taylor expansion of x in x 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (* 1 1) into 1 5.074 * [backup-simplify]: Simplify (* 0 0) into 0 5.074 * [backup-simplify]: Simplify (+ 1 0) into 1 5.075 * [backup-simplify]: Simplify (sqrt 1) into 1 5.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.076 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.076 * [backup-simplify]: Simplify (+ 0 0) into 0 5.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.077 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.077 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.077 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.077 * [taylor]: Taking taylor expansion of 1 in x 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [taylor]: Taking taylor expansion of 1 in x 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [taylor]: Taking taylor expansion of (* x x) in x 5.077 * [taylor]: Taking taylor expansion of x in x 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [taylor]: Taking taylor expansion of x in x 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (* 1 1) into 1 5.078 * [backup-simplify]: Simplify (* 0 0) into 0 5.079 * [backup-simplify]: Simplify (+ 1 0) into 1 5.079 * [backup-simplify]: Simplify (sqrt 1) into 1 5.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.081 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.081 * [backup-simplify]: Simplify (+ 0 0) into 0 5.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.082 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.084 * [backup-simplify]: Simplify (+ 0 1) into 1 5.085 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.085 * [backup-simplify]: Simplify 1/2 into 1/2 5.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.088 * [backup-simplify]: Simplify (+ 0 0) into 0 5.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.092 * [backup-simplify]: Simplify (+ 0 0) into 0 5.094 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.094 * [backup-simplify]: Simplify -1/8 into -1/8 5.094 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 5.095 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 5.095 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 5.095 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.095 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.095 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.095 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.095 * [taylor]: Taking taylor expansion of 1 in x 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [taylor]: Taking taylor expansion of 1 in x 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.095 * [taylor]: Taking taylor expansion of x in x 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (/ 1 1) into 1 5.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.096 * [taylor]: Taking taylor expansion of x in x 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 1 into 1 5.096 * [backup-simplify]: Simplify (/ 1 1) into 1 5.096 * [backup-simplify]: Simplify (* 1 1) into 1 5.097 * [backup-simplify]: Simplify (+ 0 1) into 1 5.097 * [backup-simplify]: Simplify (sqrt 1) into 1 5.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.100 * [backup-simplify]: Simplify (+ 0 0) into 0 5.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.101 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.101 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.101 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.101 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.101 * [taylor]: Taking taylor expansion of 1 in x 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [taylor]: Taking taylor expansion of 1 in x 5.101 * [backup-simplify]: Simplify 1 into 1 5.101 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.101 * [taylor]: Taking taylor expansion of x in x 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (/ 1 1) into 1 5.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.102 * [taylor]: Taking taylor expansion of x in x 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (/ 1 1) into 1 5.103 * [backup-simplify]: Simplify (* 1 1) into 1 5.103 * [backup-simplify]: Simplify (+ 0 1) into 1 5.104 * [backup-simplify]: Simplify (sqrt 1) into 1 5.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.109 * [backup-simplify]: Simplify (+ 0 0) into 0 5.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify (* 1 1) into 1 5.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.113 * [backup-simplify]: Simplify (+ 1 0) into 1 5.114 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.114 * [backup-simplify]: Simplify 1/2 into 1/2 5.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (+ 0 0) into 0 5.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.118 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.122 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.122 * [backup-simplify]: Simplify -1/8 into -1/8 5.122 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 5.122 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 5.122 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 5.122 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.122 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.122 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.122 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.122 * [taylor]: Taking taylor expansion of 1 in x 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [taylor]: Taking taylor expansion of 1 in x 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.122 * [taylor]: Taking taylor expansion of -1 in x 5.122 * [backup-simplify]: Simplify -1 into -1 5.122 * [taylor]: Taking taylor expansion of x in x 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (/ -1 1) into -1 5.123 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.123 * [taylor]: Taking taylor expansion of -1 in x 5.123 * [backup-simplify]: Simplify -1 into -1 5.123 * [taylor]: Taking taylor expansion of x in x 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (/ -1 1) into -1 5.123 * [backup-simplify]: Simplify (* -1 -1) into 1 5.124 * [backup-simplify]: Simplify (+ 0 1) into 1 5.124 * [backup-simplify]: Simplify (sqrt 1) into 1 5.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.126 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.126 * [backup-simplify]: Simplify (+ 0 0) into 0 5.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.127 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.127 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.127 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.127 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.127 * [taylor]: Taking taylor expansion of 1 in x 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [taylor]: Taking taylor expansion of 1 in x 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.127 * [taylor]: Taking taylor expansion of -1 in x 5.127 * [backup-simplify]: Simplify -1 into -1 5.127 * [taylor]: Taking taylor expansion of x in x 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [backup-simplify]: Simplify (/ -1 1) into -1 5.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.127 * [taylor]: Taking taylor expansion of -1 in x 5.127 * [backup-simplify]: Simplify -1 into -1 5.127 * [taylor]: Taking taylor expansion of x in x 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.128 * [backup-simplify]: Simplify (/ -1 1) into -1 5.128 * [backup-simplify]: Simplify (* -1 -1) into 1 5.128 * [backup-simplify]: Simplify (+ 0 1) into 1 5.128 * [backup-simplify]: Simplify (sqrt 1) into 1 5.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.130 * [backup-simplify]: Simplify (+ 0 0) into 0 5.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify (* 1 1) into 1 5.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.133 * [backup-simplify]: Simplify (+ 1 0) into 1 5.134 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.134 * [backup-simplify]: Simplify 1/2 into 1/2 5.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.137 * [backup-simplify]: Simplify (+ 0 0) into 0 5.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.141 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.141 * [backup-simplify]: Simplify -1/8 into -1/8 5.141 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 5.141 * * * [progress]: simplifying candidates 5.142 * * * * [progress]: [ 1 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 2 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 3 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 4 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 5 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 6 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 7 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 8 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 9 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 10 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 11 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 12 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 13 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 14 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 15 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 16 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 17 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 18 / 114 ] simplifiying candidate # 5.142 * * * * [progress]: [ 19 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 20 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 21 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 22 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 23 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 24 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 25 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 26 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 27 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 28 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 29 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 30 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 31 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 32 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 33 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 34 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 35 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 36 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 37 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 38 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 39 / 114 ] simplifiying candidate # 5.143 * * * * [progress]: [ 40 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 41 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 42 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 43 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 44 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 45 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 46 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 47 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 48 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 49 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 50 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 51 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 52 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 53 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 54 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 55 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 56 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 57 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 58 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 59 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 60 / 114 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 5.144 * * * * [progress]: [ 61 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 62 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 63 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 64 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 65 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 66 / 114 ] simplifiying candidate # 5.144 * * * * [progress]: [ 67 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 68 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 69 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 70 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 71 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 72 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 73 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 74 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 75 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 76 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 77 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 78 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 79 / 114 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))> 5.145 * * * * [progress]: [ 80 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 81 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 82 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 83 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 84 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 85 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 86 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 87 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 88 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 89 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 90 / 114 ] simplifiying candidate # 5.145 * * * * [progress]: [ 91 / 114 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))))))))> 5.145 * * * * [progress]: [ 92 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 93 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 94 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 95 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 96 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 97 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 98 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 99 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 100 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 101 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 102 / 114 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 5.146 * * * * [progress]: [ 103 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 104 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 105 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 106 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 107 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 108 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 109 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 110 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 111 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 112 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 113 / 114 ] simplifiying candidate # 5.146 * * * * [progress]: [ 114 / 114 ] simplifiying candidate # 5.148 * [simplify]: Simplifying: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma 1 1/2 (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma 1 1/2 (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (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 (- (* (/ (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 1 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 1 1/2 (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma 1 1/2 (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma 1 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma 1 1/2 (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma 1 1/2 (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma 1 1/2 (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt 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1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (- (/ 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))) (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x))) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (exp 1) (exp (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)))))) (+ (pow 1 3) (pow (sqrt (+ 1/2 (/ 1/2 (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)))))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (+ (* 1 1) (* x x)) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (+ (* 1 1) (* x x)) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 5.150 * * [simplify]: iteration 1: (236 enodes) 5.361 * * [simplify]: iteration 2: (595 enodes) 6.074 * * [simplify]: iteration 3: (1627 enodes) 10.026 * * [simplify]: Extracting #0: cost 56 inf + 0 10.027 * * [simplify]: Extracting #1: cost 382 inf + 0 10.031 * * [simplify]: Extracting #2: cost 841 inf + 1604 10.048 * * [simplify]: Extracting #3: cost 609 inf + 62285 10.102 * * [simplify]: Extracting #4: cost 116 inf + 189159 10.144 * * [simplify]: Extracting #5: cost 15 inf + 221127 10.185 * * [simplify]: Extracting #6: cost 0 inf + 227447 10.249 * * [simplify]: Extracting #7: cost 0 inf + 227432 10.305 * [simplify]: Simplified to: (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (* 1 (+ (/ 1/2 (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 (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (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 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4) (/ -1/2 (hypot 1 x)) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (fma 1/4 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (* (* (* x x) (* x x)) -3/16))) (+ (/ (/ 1/4 (* x x)) x) (- 1/2 (/ 1/2 x))) (+ (/ 1/2 x) (- 1/2 (/ (/ 1/4 (* x x)) x))) (fma -1/8 (* x x) (fma 11/128 (* (* x x) (* x x)) 2)) (+ (/ 1/4 (* x (sqrt 1/2))) (- (+ 1 (sqrt 1/2)) (/ 1/16 (* (* x x) (sqrt 1/2))))) (+ (/ -1/4 (* x (sqrt 1/2))) (- (+ 1 (sqrt 1/2)) (/ 1/16 (* (* x x) (sqrt 1/2))))) (fma (* (* x x) (* x x)) -1/8 (fma (* x x) 1/2 1)) (+ (/ 1/2 x) (+ (/ (/ -1/8 x) (* x x)) x)) (+ (/ -1/2 x) (- (/ (/ 1/8 x) (* x x)) x)) (fma (* (* x x) (* x x)) -1/8 (fma (* x x) 1/2 1)) (+ (/ 1/2 x) (+ (/ (/ -1/8 x) (* x x)) x)) (+ (/ -1/2 x) (- (/ (/ 1/8 x) (* x x)) x)) 10.327 * * * [progress]: adding candidates to table 11.422 * * [progress]: iteration 3 / 4 11.422 * * * [progress]: picking best candidate 11.430 * * * * [pick]: Picked # 11.430 * * * [progress]: localizing error 11.457 * * * [progress]: generating rewritten candidates 11.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 11.464 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.474 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 11.488 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.497 * * * [progress]: generating series expansions 11.497 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 11.497 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 11.497 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 11.497 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 11.497 * [taylor]: Taking taylor expansion of 1/2 in x 11.497 * [backup-simplify]: Simplify 1/2 into 1/2 11.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.497 * [taylor]: Taking taylor expansion of 1/2 in x 11.498 * [backup-simplify]: Simplify 1/2 into 1/2 11.498 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.498 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.498 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.498 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.498 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.498 * [taylor]: Taking taylor expansion of 1 in x 11.498 * [backup-simplify]: Simplify 1 into 1 11.498 * [taylor]: Taking taylor expansion of 1 in x 11.498 * [backup-simplify]: Simplify 1 into 1 11.498 * [taylor]: Taking taylor expansion of (* x x) in x 11.498 * [taylor]: Taking taylor expansion of x in x 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify 1 into 1 11.498 * [taylor]: Taking taylor expansion of x in x 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify 1 into 1 11.499 * [backup-simplify]: Simplify (* 1 1) into 1 11.499 * [backup-simplify]: Simplify (* 0 0) into 0 11.499 * [backup-simplify]: Simplify (+ 1 0) into 1 11.500 * [backup-simplify]: Simplify (sqrt 1) into 1 11.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.502 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.502 * [backup-simplify]: Simplify (+ 0 0) into 0 11.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.503 * [backup-simplify]: Simplify (/ 1 1) into 1 11.503 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 11.503 * [taylor]: Taking taylor expansion of 1/2 in x 11.503 * [backup-simplify]: Simplify 1/2 into 1/2 11.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.503 * [taylor]: Taking taylor expansion of 1/2 in x 11.503 * [backup-simplify]: Simplify 1/2 into 1/2 11.503 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.503 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.503 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.503 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.503 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.503 * [taylor]: Taking taylor expansion of 1 in x 11.503 * [backup-simplify]: Simplify 1 into 1 11.503 * [taylor]: Taking taylor expansion of 1 in x 11.503 * [backup-simplify]: Simplify 1 into 1 11.504 * [taylor]: Taking taylor expansion of (* x x) in x 11.504 * [taylor]: Taking taylor expansion of x in x 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [taylor]: Taking taylor expansion of x in x 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [backup-simplify]: Simplify (* 1 1) into 1 11.504 * [backup-simplify]: Simplify (* 0 0) into 0 11.505 * [backup-simplify]: Simplify (+ 1 0) into 1 11.505 * [backup-simplify]: Simplify (sqrt 1) into 1 11.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.507 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.507 * [backup-simplify]: Simplify (+ 0 0) into 0 11.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.508 * [backup-simplify]: Simplify (/ 1 1) into 1 11.509 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.509 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.509 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 11.509 * [backup-simplify]: Simplify 0 into 0 11.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.511 * [backup-simplify]: Simplify (- 0) into 0 11.512 * [backup-simplify]: Simplify (+ 0 0) into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.514 * [backup-simplify]: Simplify (+ 0 1) into 1 11.515 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.517 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.518 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.518 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.518 * [backup-simplify]: Simplify 1/4 into 1/4 11.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.520 * [backup-simplify]: Simplify (+ 0 0) into 0 11.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.523 * [backup-simplify]: Simplify (- 0) into 0 11.523 * [backup-simplify]: Simplify (+ 0 0) into 0 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.525 * [backup-simplify]: Simplify (+ 0 0) into 0 11.526 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.528 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.528 * [backup-simplify]: Simplify (- 3/16) into -3/16 11.529 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 11.529 * [backup-simplify]: Simplify -3/16 into -3/16 11.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.531 * [backup-simplify]: Simplify (+ 0 0) into 0 11.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 11.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 11.534 * [backup-simplify]: Simplify (- 0) into 0 11.535 * [backup-simplify]: Simplify (+ 0 0) into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.537 * [backup-simplify]: Simplify (+ 0 0) into 0 11.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 11.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 11.541 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 11.541 * [backup-simplify]: Simplify (- -5/32) into 5/32 11.541 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 11.541 * [backup-simplify]: Simplify 5/32 into 5/32 11.542 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 11.542 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 11.542 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 11.542 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 11.542 * [taylor]: Taking taylor expansion of 1/2 in x 11.542 * [backup-simplify]: Simplify 1/2 into 1/2 11.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.542 * [taylor]: Taking taylor expansion of 1/2 in x 11.542 * [backup-simplify]: Simplify 1/2 into 1/2 11.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.542 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.542 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.542 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.542 * [taylor]: Taking taylor expansion of 1 in x 11.542 * [backup-simplify]: Simplify 1 into 1 11.542 * [taylor]: Taking taylor expansion of 1 in x 11.542 * [backup-simplify]: Simplify 1 into 1 11.542 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.542 * [taylor]: Taking taylor expansion of x in x 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify 1 into 1 11.542 * [backup-simplify]: Simplify (/ 1 1) into 1 11.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.542 * [taylor]: Taking taylor expansion of x in x 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify 1 into 1 11.543 * [backup-simplify]: Simplify (/ 1 1) into 1 11.543 * [backup-simplify]: Simplify (* 1 1) into 1 11.543 * [backup-simplify]: Simplify (+ 0 1) into 1 11.543 * [backup-simplify]: Simplify (sqrt 1) into 1 11.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.545 * [backup-simplify]: Simplify (+ 0 0) into 0 11.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.546 * [backup-simplify]: Simplify (/ 1 1) into 1 11.546 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 11.546 * [taylor]: Taking taylor expansion of 1/2 in x 11.546 * [backup-simplify]: Simplify 1/2 into 1/2 11.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.546 * [taylor]: Taking taylor expansion of 1/2 in x 11.546 * [backup-simplify]: Simplify 1/2 into 1/2 11.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.546 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.546 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.546 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.546 * [taylor]: Taking taylor expansion of 1 in x 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [taylor]: Taking taylor expansion of 1 in x 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.546 * [taylor]: Taking taylor expansion of x in x 11.546 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [backup-simplify]: Simplify (/ 1 1) into 1 11.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.546 * [taylor]: Taking taylor expansion of x in x 11.546 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify 1 into 1 11.547 * [backup-simplify]: Simplify (/ 1 1) into 1 11.547 * [backup-simplify]: Simplify (* 1 1) into 1 11.547 * [backup-simplify]: Simplify (+ 0 1) into 1 11.548 * [backup-simplify]: Simplify (sqrt 1) into 1 11.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.551 * [backup-simplify]: Simplify (+ 0 0) into 0 11.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.552 * [backup-simplify]: Simplify (/ 1 1) into 1 11.553 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.553 * [backup-simplify]: Simplify 1/2 into 1/2 11.553 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.553 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.554 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.554 * [backup-simplify]: Simplify -1/2 into -1/2 11.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.556 * [backup-simplify]: Simplify (- 0) into 0 11.556 * [backup-simplify]: Simplify (+ 0 0) into 0 11.556 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify (* 1 1) into 1 11.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.560 * [backup-simplify]: Simplify (+ 1 0) into 1 11.561 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.564 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.564 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.564 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.564 * [backup-simplify]: Simplify 1/4 into 1/4 11.565 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 11.565 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 11.565 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 11.565 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.565 * [taylor]: Taking taylor expansion of 1/2 in x 11.565 * [backup-simplify]: Simplify 1/2 into 1/2 11.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.565 * [taylor]: Taking taylor expansion of 1/2 in x 11.565 * [backup-simplify]: Simplify 1/2 into 1/2 11.565 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.565 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.565 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.565 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.565 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.565 * [taylor]: Taking taylor expansion of 1 in x 11.565 * [backup-simplify]: Simplify 1 into 1 11.565 * [taylor]: Taking taylor expansion of 1 in x 11.565 * [backup-simplify]: Simplify 1 into 1 11.565 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.565 * [taylor]: Taking taylor expansion of -1 in x 11.566 * [backup-simplify]: Simplify -1 into -1 11.566 * [taylor]: Taking taylor expansion of x in x 11.566 * [backup-simplify]: Simplify 0 into 0 11.566 * [backup-simplify]: Simplify 1 into 1 11.566 * [backup-simplify]: Simplify (/ -1 1) into -1 11.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.566 * [taylor]: Taking taylor expansion of -1 in x 11.566 * [backup-simplify]: Simplify -1 into -1 11.566 * [taylor]: Taking taylor expansion of x in x 11.566 * [backup-simplify]: Simplify 0 into 0 11.566 * [backup-simplify]: Simplify 1 into 1 11.567 * [backup-simplify]: Simplify (/ -1 1) into -1 11.567 * [backup-simplify]: Simplify (* -1 -1) into 1 11.568 * [backup-simplify]: Simplify (+ 0 1) into 1 11.571 * [backup-simplify]: Simplify (sqrt 1) into 1 11.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.574 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.574 * [backup-simplify]: Simplify (+ 0 0) into 0 11.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.576 * [backup-simplify]: Simplify (/ 1 1) into 1 11.576 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.576 * [taylor]: Taking taylor expansion of 1/2 in x 11.576 * [backup-simplify]: Simplify 1/2 into 1/2 11.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.576 * [taylor]: Taking taylor expansion of 1/2 in x 11.576 * [backup-simplify]: Simplify 1/2 into 1/2 11.576 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.576 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.576 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.576 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.576 * [taylor]: Taking taylor expansion of 1 in x 11.576 * [backup-simplify]: Simplify 1 into 1 11.576 * [taylor]: Taking taylor expansion of 1 in x 11.576 * [backup-simplify]: Simplify 1 into 1 11.576 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.576 * [taylor]: Taking taylor expansion of -1 in x 11.576 * [backup-simplify]: Simplify -1 into -1 11.576 * [taylor]: Taking taylor expansion of x in x 11.576 * [backup-simplify]: Simplify 0 into 0 11.576 * [backup-simplify]: Simplify 1 into 1 11.577 * [backup-simplify]: Simplify (/ -1 1) into -1 11.577 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.577 * [taylor]: Taking taylor expansion of -1 in x 11.577 * [backup-simplify]: Simplify -1 into -1 11.577 * [taylor]: Taking taylor expansion of x in x 11.577 * [backup-simplify]: Simplify 0 into 0 11.577 * [backup-simplify]: Simplify 1 into 1 11.578 * [backup-simplify]: Simplify (/ -1 1) into -1 11.578 * [backup-simplify]: Simplify (* -1 -1) into 1 11.578 * [backup-simplify]: Simplify (+ 0 1) into 1 11.579 * [backup-simplify]: Simplify (sqrt 1) into 1 11.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.581 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.582 * [backup-simplify]: Simplify (+ 0 0) into 0 11.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.583 * [backup-simplify]: Simplify (/ 1 1) into 1 11.584 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.584 * [backup-simplify]: Simplify 1/2 into 1/2 11.584 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.584 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.585 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.585 * [backup-simplify]: Simplify -1/2 into -1/2 11.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.587 * [backup-simplify]: Simplify (- 0) into 0 11.587 * [backup-simplify]: Simplify (+ 0 0) into 0 11.587 * [backup-simplify]: Simplify 0 into 0 11.588 * [backup-simplify]: Simplify (* 1 1) into 1 11.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.591 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.591 * [backup-simplify]: Simplify (+ 1 0) into 1 11.592 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.595 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.595 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.596 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.596 * [backup-simplify]: Simplify 1/4 into 1/4 11.596 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 11.596 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.596 * [backup-simplify]: Simplify (exp (log (- 1/2 (/ 1/2 (hypot 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 11.597 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 11.597 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 11.597 * [taylor]: Taking taylor expansion of 1/2 in x 11.597 * [backup-simplify]: Simplify 1/2 into 1/2 11.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.597 * [taylor]: Taking taylor expansion of 1/2 in x 11.597 * [backup-simplify]: Simplify 1/2 into 1/2 11.597 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.597 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.597 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.597 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.597 * [taylor]: Taking taylor expansion of 1 in x 11.597 * [backup-simplify]: Simplify 1 into 1 11.597 * [taylor]: Taking taylor expansion of 1 in x 11.597 * [backup-simplify]: Simplify 1 into 1 11.597 * [taylor]: Taking taylor expansion of (* x x) in x 11.597 * [taylor]: Taking taylor expansion of x in x 11.597 * [backup-simplify]: Simplify 0 into 0 11.597 * [backup-simplify]: Simplify 1 into 1 11.597 * [taylor]: Taking taylor expansion of x in x 11.597 * [backup-simplify]: Simplify 0 into 0 11.597 * [backup-simplify]: Simplify 1 into 1 11.598 * [backup-simplify]: Simplify (* 1 1) into 1 11.598 * [backup-simplify]: Simplify (* 0 0) into 0 11.598 * [backup-simplify]: Simplify (+ 1 0) into 1 11.599 * [backup-simplify]: Simplify (sqrt 1) into 1 11.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.600 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.600 * [backup-simplify]: Simplify (+ 0 0) into 0 11.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.602 * [backup-simplify]: Simplify (/ 1 1) into 1 11.602 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 11.602 * [taylor]: Taking taylor expansion of 1/2 in x 11.602 * [backup-simplify]: Simplify 1/2 into 1/2 11.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.602 * [taylor]: Taking taylor expansion of 1/2 in x 11.602 * [backup-simplify]: Simplify 1/2 into 1/2 11.602 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.602 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.602 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.602 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.602 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.602 * [taylor]: Taking taylor expansion of 1 in x 11.602 * [backup-simplify]: Simplify 1 into 1 11.602 * [taylor]: Taking taylor expansion of 1 in x 11.602 * [backup-simplify]: Simplify 1 into 1 11.602 * [taylor]: Taking taylor expansion of (* x x) in x 11.602 * [taylor]: Taking taylor expansion of x in x 11.602 * [backup-simplify]: Simplify 0 into 0 11.602 * [backup-simplify]: Simplify 1 into 1 11.603 * [taylor]: Taking taylor expansion of x in x 11.603 * [backup-simplify]: Simplify 0 into 0 11.603 * [backup-simplify]: Simplify 1 into 1 11.603 * [backup-simplify]: Simplify (* 1 1) into 1 11.603 * [backup-simplify]: Simplify (* 0 0) into 0 11.604 * [backup-simplify]: Simplify (+ 1 0) into 1 11.604 * [backup-simplify]: Simplify (sqrt 1) into 1 11.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.605 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.606 * [backup-simplify]: Simplify (+ 0 0) into 0 11.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.607 * [backup-simplify]: Simplify (/ 1 1) into 1 11.608 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.608 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.608 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 11.608 * [backup-simplify]: Simplify 0 into 0 11.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.610 * [backup-simplify]: Simplify (- 0) into 0 11.611 * [backup-simplify]: Simplify (+ 0 0) into 0 11.611 * [backup-simplify]: Simplify 0 into 0 11.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.613 * [backup-simplify]: Simplify (+ 0 1) into 1 11.614 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.616 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.616 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.616 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.616 * [backup-simplify]: Simplify 1/4 into 1/4 11.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.618 * [backup-simplify]: Simplify (+ 0 0) into 0 11.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.621 * [backup-simplify]: Simplify (- 0) into 0 11.621 * [backup-simplify]: Simplify (+ 0 0) into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.623 * [backup-simplify]: Simplify (+ 0 0) into 0 11.624 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.626 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.626 * [backup-simplify]: Simplify (- 3/16) into -3/16 11.626 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 11.626 * [backup-simplify]: Simplify -3/16 into -3/16 11.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.628 * [backup-simplify]: Simplify (+ 0 0) into 0 11.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 11.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 11.632 * [backup-simplify]: Simplify (- 0) into 0 11.633 * [backup-simplify]: Simplify (+ 0 0) into 0 11.633 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.635 * [backup-simplify]: Simplify (+ 0 0) into 0 11.636 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 11.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 11.639 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 11.639 * [backup-simplify]: Simplify (- -5/32) into 5/32 11.640 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 11.640 * [backup-simplify]: Simplify 5/32 into 5/32 11.640 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 11.640 * [backup-simplify]: Simplify (exp (log (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 11.640 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 11.640 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 11.640 * [taylor]: Taking taylor expansion of 1/2 in x 11.640 * [backup-simplify]: Simplify 1/2 into 1/2 11.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.640 * [taylor]: Taking taylor expansion of 1/2 in x 11.640 * [backup-simplify]: Simplify 1/2 into 1/2 11.640 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.640 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.640 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.640 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.640 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.640 * [taylor]: Taking taylor expansion of 1 in x 11.640 * [backup-simplify]: Simplify 1 into 1 11.640 * [taylor]: Taking taylor expansion of 1 in x 11.640 * [backup-simplify]: Simplify 1 into 1 11.640 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.640 * [taylor]: Taking taylor expansion of x in x 11.640 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify 1 into 1 11.641 * [backup-simplify]: Simplify (/ 1 1) into 1 11.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.641 * [taylor]: Taking taylor expansion of x in x 11.641 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify 1 into 1 11.641 * [backup-simplify]: Simplify (/ 1 1) into 1 11.641 * [backup-simplify]: Simplify (* 1 1) into 1 11.641 * [backup-simplify]: Simplify (+ 0 1) into 1 11.642 * [backup-simplify]: Simplify (sqrt 1) into 1 11.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.644 * [backup-simplify]: Simplify (+ 0 0) into 0 11.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.645 * [backup-simplify]: Simplify (/ 1 1) into 1 11.645 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 11.645 * [taylor]: Taking taylor expansion of 1/2 in x 11.645 * [backup-simplify]: Simplify 1/2 into 1/2 11.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.645 * [taylor]: Taking taylor expansion of 1/2 in x 11.645 * [backup-simplify]: Simplify 1/2 into 1/2 11.645 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.645 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.645 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.645 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.645 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.645 * [taylor]: Taking taylor expansion of 1 in x 11.645 * [backup-simplify]: Simplify 1 into 1 11.645 * [taylor]: Taking taylor expansion of 1 in x 11.645 * [backup-simplify]: Simplify 1 into 1 11.646 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.646 * [taylor]: Taking taylor expansion of x in x 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.646 * [backup-simplify]: Simplify (/ 1 1) into 1 11.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.646 * [taylor]: Taking taylor expansion of x in x 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.647 * [backup-simplify]: Simplify (/ 1 1) into 1 11.647 * [backup-simplify]: Simplify (* 1 1) into 1 11.647 * [backup-simplify]: Simplify (+ 0 1) into 1 11.648 * [backup-simplify]: Simplify (sqrt 1) into 1 11.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.651 * [backup-simplify]: Simplify (+ 0 0) into 0 11.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.652 * [backup-simplify]: Simplify (/ 1 1) into 1 11.653 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.653 * [backup-simplify]: Simplify 1/2 into 1/2 11.653 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.654 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.654 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.654 * [backup-simplify]: Simplify -1/2 into -1/2 11.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.656 * [backup-simplify]: Simplify (- 0) into 0 11.657 * [backup-simplify]: Simplify (+ 0 0) into 0 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify (* 1 1) into 1 11.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.660 * [backup-simplify]: Simplify (+ 1 0) into 1 11.662 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.664 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.665 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.665 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.665 * [backup-simplify]: Simplify 1/4 into 1/4 11.665 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 11.666 * [backup-simplify]: Simplify (exp (log (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 11.666 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 11.666 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.666 * [taylor]: Taking taylor expansion of 1/2 in x 11.666 * [backup-simplify]: Simplify 1/2 into 1/2 11.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.666 * [taylor]: Taking taylor expansion of 1/2 in x 11.666 * [backup-simplify]: Simplify 1/2 into 1/2 11.666 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.666 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.666 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.666 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.666 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.666 * [taylor]: Taking taylor expansion of 1 in x 11.666 * [backup-simplify]: Simplify 1 into 1 11.666 * [taylor]: Taking taylor expansion of 1 in x 11.666 * [backup-simplify]: Simplify 1 into 1 11.666 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.666 * [taylor]: Taking taylor expansion of -1 in x 11.666 * [backup-simplify]: Simplify -1 into -1 11.666 * [taylor]: Taking taylor expansion of x in x 11.666 * [backup-simplify]: Simplify 0 into 0 11.666 * [backup-simplify]: Simplify 1 into 1 11.667 * [backup-simplify]: Simplify (/ -1 1) into -1 11.667 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.667 * [taylor]: Taking taylor expansion of -1 in x 11.667 * [backup-simplify]: Simplify -1 into -1 11.667 * [taylor]: Taking taylor expansion of x in x 11.667 * [backup-simplify]: Simplify 0 into 0 11.667 * [backup-simplify]: Simplify 1 into 1 11.668 * [backup-simplify]: Simplify (/ -1 1) into -1 11.668 * [backup-simplify]: Simplify (* -1 -1) into 1 11.668 * [backup-simplify]: Simplify (+ 0 1) into 1 11.669 * [backup-simplify]: Simplify (sqrt 1) into 1 11.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.672 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.672 * [backup-simplify]: Simplify (+ 0 0) into 0 11.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.673 * [backup-simplify]: Simplify (/ 1 1) into 1 11.673 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.673 * [taylor]: Taking taylor expansion of 1/2 in x 11.673 * [backup-simplify]: Simplify 1/2 into 1/2 11.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.673 * [taylor]: Taking taylor expansion of 1/2 in x 11.673 * [backup-simplify]: Simplify 1/2 into 1/2 11.673 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.673 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.673 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.674 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.674 * [taylor]: Taking taylor expansion of 1 in x 11.674 * [backup-simplify]: Simplify 1 into 1 11.674 * [taylor]: Taking taylor expansion of 1 in x 11.674 * [backup-simplify]: Simplify 1 into 1 11.674 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.674 * [taylor]: Taking taylor expansion of -1 in x 11.674 * [backup-simplify]: Simplify -1 into -1 11.674 * [taylor]: Taking taylor expansion of x in x 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.674 * [backup-simplify]: Simplify (/ -1 1) into -1 11.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.674 * [taylor]: Taking taylor expansion of -1 in x 11.674 * [backup-simplify]: Simplify -1 into -1 11.674 * [taylor]: Taking taylor expansion of x in x 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.675 * [backup-simplify]: Simplify (/ -1 1) into -1 11.675 * [backup-simplify]: Simplify (* -1 -1) into 1 11.675 * [backup-simplify]: Simplify (+ 0 1) into 1 11.676 * [backup-simplify]: Simplify (sqrt 1) into 1 11.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.677 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.677 * [backup-simplify]: Simplify (+ 0 0) into 0 11.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.678 * [backup-simplify]: Simplify (/ 1 1) into 1 11.678 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.679 * [backup-simplify]: Simplify 1/2 into 1/2 11.679 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.679 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.679 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.679 * [backup-simplify]: Simplify -1/2 into -1/2 11.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.681 * [backup-simplify]: Simplify (- 0) into 0 11.681 * [backup-simplify]: Simplify (+ 0 0) into 0 11.681 * [backup-simplify]: Simplify 0 into 0 11.681 * [backup-simplify]: Simplify (* 1 1) into 1 11.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.683 * [backup-simplify]: Simplify (+ 1 0) into 1 11.684 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.685 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.685 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.686 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.686 * [backup-simplify]: Simplify 1/4 into 1/4 11.686 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 11.686 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 11.686 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 11.686 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 11.686 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.686 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.686 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.686 * [taylor]: Taking taylor expansion of 1/2 in x 11.686 * [backup-simplify]: Simplify 1/2 into 1/2 11.686 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.686 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.686 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.686 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.686 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.686 * [taylor]: Taking taylor expansion of 1 in x 11.686 * [backup-simplify]: Simplify 1 into 1 11.686 * [taylor]: Taking taylor expansion of 1 in x 11.686 * [backup-simplify]: Simplify 1 into 1 11.686 * [taylor]: Taking taylor expansion of (* x x) in x 11.686 * [taylor]: Taking taylor expansion of x in x 11.687 * [backup-simplify]: Simplify 0 into 0 11.687 * [backup-simplify]: Simplify 1 into 1 11.687 * [taylor]: Taking taylor expansion of x in x 11.687 * [backup-simplify]: Simplify 0 into 0 11.687 * [backup-simplify]: Simplify 1 into 1 11.687 * [backup-simplify]: Simplify (* 1 1) into 1 11.687 * [backup-simplify]: Simplify (* 0 0) into 0 11.687 * [backup-simplify]: Simplify (+ 1 0) into 1 11.688 * [backup-simplify]: Simplify (sqrt 1) into 1 11.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.689 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.689 * [backup-simplify]: Simplify (+ 0 0) into 0 11.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.690 * [backup-simplify]: Simplify (/ 1 1) into 1 11.690 * [taylor]: Taking taylor expansion of 1/2 in x 11.690 * [backup-simplify]: Simplify 1/2 into 1/2 11.690 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.690 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.690 * [backup-simplify]: Simplify (sqrt 1) into 1 11.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.693 * [backup-simplify]: Simplify (+ 0 0) into 0 11.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.694 * [taylor]: Taking taylor expansion of 1 in x 11.694 * [backup-simplify]: Simplify 1 into 1 11.694 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.694 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.694 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.694 * [taylor]: Taking taylor expansion of 1/2 in x 11.694 * [backup-simplify]: Simplify 1/2 into 1/2 11.694 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.694 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.694 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.694 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.694 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.694 * [taylor]: Taking taylor expansion of 1 in x 11.694 * [backup-simplify]: Simplify 1 into 1 11.694 * [taylor]: Taking taylor expansion of 1 in x 11.694 * [backup-simplify]: Simplify 1 into 1 11.694 * [taylor]: Taking taylor expansion of (* x x) in x 11.694 * [taylor]: Taking taylor expansion of x in x 11.694 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify 1 into 1 11.694 * [taylor]: Taking taylor expansion of x in x 11.694 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify 1 into 1 11.694 * [backup-simplify]: Simplify (* 1 1) into 1 11.695 * [backup-simplify]: Simplify (* 0 0) into 0 11.695 * [backup-simplify]: Simplify (+ 1 0) into 1 11.695 * [backup-simplify]: Simplify (sqrt 1) into 1 11.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.696 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.696 * [backup-simplify]: Simplify (+ 0 0) into 0 11.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.697 * [backup-simplify]: Simplify (/ 1 1) into 1 11.697 * [taylor]: Taking taylor expansion of 1/2 in x 11.697 * [backup-simplify]: Simplify 1/2 into 1/2 11.697 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.698 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.698 * [backup-simplify]: Simplify (sqrt 1) into 1 11.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.699 * [backup-simplify]: Simplify (+ 0 0) into 0 11.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.700 * [taylor]: Taking taylor expansion of 1 in x 11.700 * [backup-simplify]: Simplify 1 into 1 11.700 * [backup-simplify]: Simplify (+ 1 1) into 2 11.700 * [backup-simplify]: Simplify 2 into 2 11.700 * [backup-simplify]: Simplify (+ 0 0) into 0 11.700 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.702 * [backup-simplify]: Simplify (+ 0 1) into 1 11.702 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.704 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.705 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.706 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 11.706 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 11.706 * [backup-simplify]: Simplify -1/8 into -1/8 11.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.709 * [backup-simplify]: Simplify (+ 0 0) into 0 11.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.714 * [backup-simplify]: Simplify (+ 0 0) into 0 11.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 11.716 * [backup-simplify]: Simplify (+ 0 0) into 0 11.716 * [backup-simplify]: Simplify 0 into 0 11.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.719 * [backup-simplify]: Simplify (+ 0 0) into 0 11.720 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.724 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.725 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.726 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 11.727 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 11.727 * [backup-simplify]: Simplify 11/128 into 11/128 11.727 * [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))) 11.727 * [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) 11.727 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 11.727 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.727 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.727 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.728 * [taylor]: Taking taylor expansion of 1/2 in x 11.728 * [backup-simplify]: Simplify 1/2 into 1/2 11.728 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.728 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.728 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.728 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.728 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.728 * [taylor]: Taking taylor expansion of 1 in x 11.728 * [backup-simplify]: Simplify 1 into 1 11.728 * [taylor]: Taking taylor expansion of 1 in x 11.728 * [backup-simplify]: Simplify 1 into 1 11.728 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.728 * [taylor]: Taking taylor expansion of x in x 11.728 * [backup-simplify]: Simplify 0 into 0 11.728 * [backup-simplify]: Simplify 1 into 1 11.728 * [backup-simplify]: Simplify (/ 1 1) into 1 11.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.728 * [taylor]: Taking taylor expansion of x in x 11.728 * [backup-simplify]: Simplify 0 into 0 11.728 * [backup-simplify]: Simplify 1 into 1 11.729 * [backup-simplify]: Simplify (/ 1 1) into 1 11.729 * [backup-simplify]: Simplify (* 1 1) into 1 11.730 * [backup-simplify]: Simplify (+ 0 1) into 1 11.730 * [backup-simplify]: Simplify (sqrt 1) into 1 11.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.732 * [backup-simplify]: Simplify (+ 0 0) into 0 11.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.734 * [backup-simplify]: Simplify (/ 1 1) into 1 11.734 * [taylor]: Taking taylor expansion of 1/2 in x 11.734 * [backup-simplify]: Simplify 1/2 into 1/2 11.734 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.734 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.735 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.735 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.737 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.737 * [taylor]: Taking taylor expansion of 1 in x 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.737 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.737 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.737 * [taylor]: Taking taylor expansion of 1/2 in x 11.737 * [backup-simplify]: Simplify 1/2 into 1/2 11.737 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.737 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.737 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.737 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.737 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.737 * [taylor]: Taking taylor expansion of 1 in x 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [taylor]: Taking taylor expansion of 1 in x 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.737 * [taylor]: Taking taylor expansion of x in x 11.737 * [backup-simplify]: Simplify 0 into 0 11.737 * [backup-simplify]: Simplify 1 into 1 11.738 * [backup-simplify]: Simplify (/ 1 1) into 1 11.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.738 * [taylor]: Taking taylor expansion of x in x 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 1 into 1 11.738 * [backup-simplify]: Simplify (/ 1 1) into 1 11.739 * [backup-simplify]: Simplify (* 1 1) into 1 11.739 * [backup-simplify]: Simplify (+ 0 1) into 1 11.739 * [backup-simplify]: Simplify (sqrt 1) into 1 11.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.742 * [backup-simplify]: Simplify (+ 0 0) into 0 11.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.743 * [backup-simplify]: Simplify (/ 1 1) into 1 11.743 * [taylor]: Taking taylor expansion of 1/2 in x 11.743 * [backup-simplify]: Simplify 1/2 into 1/2 11.743 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.744 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.744 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.745 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.746 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.746 * [taylor]: Taking taylor expansion of 1 in x 11.746 * [backup-simplify]: Simplify 1 into 1 11.747 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.748 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.750 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.752 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.753 * [backup-simplify]: Simplify (+ 0 0) into 0 11.759 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.762 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.766 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.772 * [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))))) 11.772 * [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) 11.772 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 11.772 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.773 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.773 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.773 * [taylor]: Taking taylor expansion of 1/2 in x 11.773 * [backup-simplify]: Simplify 1/2 into 1/2 11.773 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.773 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.773 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.773 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.773 * [taylor]: Taking taylor expansion of 1 in x 11.773 * [backup-simplify]: Simplify 1 into 1 11.773 * [taylor]: Taking taylor expansion of 1 in x 11.773 * [backup-simplify]: Simplify 1 into 1 11.773 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.773 * [taylor]: Taking taylor expansion of -1 in x 11.773 * [backup-simplify]: Simplify -1 into -1 11.773 * [taylor]: Taking taylor expansion of x in x 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 1 into 1 11.774 * [backup-simplify]: Simplify (/ -1 1) into -1 11.774 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.774 * [taylor]: Taking taylor expansion of -1 in x 11.774 * [backup-simplify]: Simplify -1 into -1 11.774 * [taylor]: Taking taylor expansion of x in x 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify 1 into 1 11.774 * [backup-simplify]: Simplify (/ -1 1) into -1 11.775 * [backup-simplify]: Simplify (* -1 -1) into 1 11.775 * [backup-simplify]: Simplify (+ 0 1) into 1 11.776 * [backup-simplify]: Simplify (sqrt 1) into 1 11.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.778 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.779 * [backup-simplify]: Simplify (+ 0 0) into 0 11.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.780 * [backup-simplify]: Simplify (/ 1 1) into 1 11.780 * [taylor]: Taking taylor expansion of 1/2 in x 11.780 * [backup-simplify]: Simplify 1/2 into 1/2 11.780 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.781 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.781 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.782 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.783 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.783 * [taylor]: Taking taylor expansion of 1 in x 11.783 * [backup-simplify]: Simplify 1 into 1 11.783 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.784 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.784 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.784 * [taylor]: Taking taylor expansion of 1/2 in x 11.784 * [backup-simplify]: Simplify 1/2 into 1/2 11.784 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.784 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.784 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.784 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.784 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.784 * [taylor]: Taking taylor expansion of 1 in x 11.784 * [backup-simplify]: Simplify 1 into 1 11.784 * [taylor]: Taking taylor expansion of 1 in x 11.784 * [backup-simplify]: Simplify 1 into 1 11.784 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.784 * [taylor]: Taking taylor expansion of -1 in x 11.784 * [backup-simplify]: Simplify -1 into -1 11.784 * [taylor]: Taking taylor expansion of x in x 11.784 * [backup-simplify]: Simplify 0 into 0 11.784 * [backup-simplify]: Simplify 1 into 1 11.785 * [backup-simplify]: Simplify (/ -1 1) into -1 11.785 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.785 * [taylor]: Taking taylor expansion of -1 in x 11.785 * [backup-simplify]: Simplify -1 into -1 11.785 * [taylor]: Taking taylor expansion of x in x 11.785 * [backup-simplify]: Simplify 0 into 0 11.785 * [backup-simplify]: Simplify 1 into 1 11.785 * [backup-simplify]: Simplify (/ -1 1) into -1 11.785 * [backup-simplify]: Simplify (* -1 -1) into 1 11.786 * [backup-simplify]: Simplify (+ 0 1) into 1 11.786 * [backup-simplify]: Simplify (sqrt 1) into 1 11.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.789 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.789 * [backup-simplify]: Simplify (+ 0 0) into 0 11.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.790 * [backup-simplify]: Simplify (/ 1 1) into 1 11.790 * [taylor]: Taking taylor expansion of 1/2 in x 11.790 * [backup-simplify]: Simplify 1/2 into 1/2 11.791 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.791 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.792 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.792 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.794 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.794 * [taylor]: Taking taylor expansion of 1 in x 11.794 * [backup-simplify]: Simplify 1 into 1 11.795 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.796 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.798 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.800 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.802 * [backup-simplify]: Simplify (+ 0 0) into 0 11.807 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.810 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.814 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.818 * [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)))))) 11.818 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 11.818 * [backup-simplify]: Simplify (log (- 1/2 (/ 1/2 (hypot 1 x)))) into (log (- 1/2 (* 1/2 (/ 1 (hypot 1 x))))) 11.818 * [approximate]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 x))))) in (x) around 0 11.818 * [taylor]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 x))))) in x 11.818 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 11.818 * [taylor]: Taking taylor expansion of 1/2 in x 11.818 * [backup-simplify]: Simplify 1/2 into 1/2 11.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.818 * [taylor]: Taking taylor expansion of 1/2 in x 11.818 * [backup-simplify]: Simplify 1/2 into 1/2 11.818 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.818 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.818 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.818 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.818 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.818 * [taylor]: Taking taylor expansion of 1 in x 11.818 * [backup-simplify]: Simplify 1 into 1 11.818 * [taylor]: Taking taylor expansion of 1 in x 11.818 * [backup-simplify]: Simplify 1 into 1 11.818 * [taylor]: Taking taylor expansion of (* x x) in x 11.818 * [taylor]: Taking taylor expansion of x in x 11.819 * [backup-simplify]: Simplify 0 into 0 11.819 * [backup-simplify]: Simplify 1 into 1 11.819 * [taylor]: Taking taylor expansion of x in x 11.819 * [backup-simplify]: Simplify 0 into 0 11.819 * [backup-simplify]: Simplify 1 into 1 11.819 * [backup-simplify]: Simplify (* 1 1) into 1 11.819 * [backup-simplify]: Simplify (* 0 0) into 0 11.819 * [backup-simplify]: Simplify (+ 1 0) into 1 11.820 * [backup-simplify]: Simplify (sqrt 1) into 1 11.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.820 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.821 * [backup-simplify]: Simplify (+ 0 0) into 0 11.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.821 * [backup-simplify]: Simplify (/ 1 1) into 1 11.822 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.822 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.822 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 11.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.823 * [backup-simplify]: Simplify (- 0) into 0 11.824 * [backup-simplify]: Simplify (+ 0 0) into 0 11.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.825 * [backup-simplify]: Simplify (+ 0 1) into 1 11.827 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.828 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.829 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.829 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.829 * [backup-simplify]: Simplify (log 1/4) into (log 1/4) 11.829 * [taylor]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 x))))) in x 11.829 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 11.829 * [taylor]: Taking taylor expansion of 1/2 in x 11.829 * [backup-simplify]: Simplify 1/2 into 1/2 11.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.829 * [taylor]: Taking taylor expansion of 1/2 in x 11.829 * [backup-simplify]: Simplify 1/2 into 1/2 11.829 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.829 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.830 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.830 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.830 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.830 * [taylor]: Taking taylor expansion of 1 in x 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [taylor]: Taking taylor expansion of 1 in x 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [taylor]: Taking taylor expansion of (* x x) in x 11.830 * [taylor]: Taking taylor expansion of x in x 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [taylor]: Taking taylor expansion of x in x 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [backup-simplify]: Simplify (* 1 1) into 1 11.830 * [backup-simplify]: Simplify (* 0 0) into 0 11.830 * [backup-simplify]: Simplify (+ 1 0) into 1 11.831 * [backup-simplify]: Simplify (sqrt 1) into 1 11.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.832 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.832 * [backup-simplify]: Simplify (+ 0 0) into 0 11.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.832 * [backup-simplify]: Simplify (/ 1 1) into 1 11.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.833 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.833 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 11.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.834 * [backup-simplify]: Simplify (- 0) into 0 11.835 * [backup-simplify]: Simplify (+ 0 0) into 0 11.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.836 * [backup-simplify]: Simplify (+ 0 1) into 1 11.837 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.838 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.838 * [backup-simplify]: Simplify (- -1/4) into 1/4 11.838 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 11.839 * [backup-simplify]: Simplify (log 1/4) into (log 1/4) 11.839 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) (log 1/4)) into (+ (log 1/4) (* 2 (log x))) 11.840 * [backup-simplify]: Simplify (+ (log 1/4) (* 2 (log x))) into (+ (log 1/4) (* 2 (log x))) 11.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.841 * [backup-simplify]: Simplify (+ 0 0) into 0 11.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.844 * [backup-simplify]: Simplify (- 0) into 0 11.844 * [backup-simplify]: Simplify (+ 0 0) into 0 11.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/4 1)))) 1) into 0 11.845 * [backup-simplify]: Simplify 0 into 0 11.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.847 * [backup-simplify]: Simplify (+ 0 0) into 0 11.848 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.850 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.850 * [backup-simplify]: Simplify (- 3/16) into -3/16 11.851 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 11.852 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 -3/16) 1)) (pow 1/4 1)))) 2) into -3/4 11.852 * [backup-simplify]: Simplify -3/4 into -3/4 11.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.854 * [backup-simplify]: Simplify (+ 0 0) into 0 11.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 11.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 11.858 * [backup-simplify]: Simplify (- 0) into 0 11.859 * [backup-simplify]: Simplify (+ 0 0) into 0 11.862 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -3/16) 1)) (pow 1/4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/4 1)))) 6) into 0 11.862 * [backup-simplify]: Simplify 0 into 0 11.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.865 * [backup-simplify]: Simplify (+ 0 0) into 0 11.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 11.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 11.869 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 11.869 * [backup-simplify]: Simplify (- -5/32) into 5/32 11.869 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 11.877 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/4 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -3/16) 1)) (pow 1/4 3))) (* -3 (/ (* 1 (pow (* 2 -3/16) 2)) (pow 1/4 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/4 2))) (* 1 (/ (* 1 1 1 (pow (* 24 5/32) 1)) (pow 1/4 1)))) 24) into 11/32 11.877 * [backup-simplify]: Simplify 11/32 into 11/32 11.878 * [backup-simplify]: Simplify (+ (* 11/32 (pow x 4)) (+ (* -3/4 (pow x 2)) (+ (log 1/4) (* 2 (log x))))) into (- (+ (log 1/4) (+ (* 11/32 (pow x 4)) (* 2 (log x)))) (* 3/4 (pow x 2))) 11.878 * [backup-simplify]: Simplify (log (- 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (log (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) 11.878 * [approximate]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in (x) around 0 11.878 * [taylor]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 11.878 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 11.878 * [taylor]: Taking taylor expansion of 1/2 in x 11.878 * [backup-simplify]: Simplify 1/2 into 1/2 11.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.878 * [taylor]: Taking taylor expansion of 1/2 in x 11.878 * [backup-simplify]: Simplify 1/2 into 1/2 11.878 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.878 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.878 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.878 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.878 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.879 * [taylor]: Taking taylor expansion of 1 in x 11.879 * [backup-simplify]: Simplify 1 into 1 11.879 * [taylor]: Taking taylor expansion of 1 in x 11.879 * [backup-simplify]: Simplify 1 into 1 11.879 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.879 * [taylor]: Taking taylor expansion of x in x 11.879 * [backup-simplify]: Simplify 0 into 0 11.879 * [backup-simplify]: Simplify 1 into 1 11.879 * [backup-simplify]: Simplify (/ 1 1) into 1 11.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.879 * [taylor]: Taking taylor expansion of x in x 11.879 * [backup-simplify]: Simplify 0 into 0 11.879 * [backup-simplify]: Simplify 1 into 1 11.880 * [backup-simplify]: Simplify (/ 1 1) into 1 11.880 * [backup-simplify]: Simplify (* 1 1) into 1 11.880 * [backup-simplify]: Simplify (+ 0 1) into 1 11.881 * [backup-simplify]: Simplify (sqrt 1) into 1 11.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.883 * [backup-simplify]: Simplify (+ 0 0) into 0 11.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.885 * [backup-simplify]: Simplify (/ 1 1) into 1 11.885 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.885 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 11.885 * [taylor]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 11.886 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 11.886 * [taylor]: Taking taylor expansion of 1/2 in x 11.886 * [backup-simplify]: Simplify 1/2 into 1/2 11.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.886 * [taylor]: Taking taylor expansion of 1/2 in x 11.886 * [backup-simplify]: Simplify 1/2 into 1/2 11.886 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.886 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.886 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.886 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.886 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.886 * [taylor]: Taking taylor expansion of 1 in x 11.886 * [backup-simplify]: Simplify 1 into 1 11.886 * [taylor]: Taking taylor expansion of 1 in x 11.886 * [backup-simplify]: Simplify 1 into 1 11.886 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.886 * [taylor]: Taking taylor expansion of x in x 11.886 * [backup-simplify]: Simplify 0 into 0 11.886 * [backup-simplify]: Simplify 1 into 1 11.886 * [backup-simplify]: Simplify (/ 1 1) into 1 11.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.887 * [taylor]: Taking taylor expansion of x in x 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify 1 into 1 11.887 * [backup-simplify]: Simplify (/ 1 1) into 1 11.887 * [backup-simplify]: Simplify (* 1 1) into 1 11.888 * [backup-simplify]: Simplify (+ 0 1) into 1 11.888 * [backup-simplify]: Simplify (sqrt 1) into 1 11.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.891 * [backup-simplify]: Simplify (+ 0 0) into 0 11.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.892 * [backup-simplify]: Simplify (/ 1 1) into 1 11.892 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.893 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 11.893 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 11.894 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.894 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.895 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/2 1)))) 1) into -1 11.896 * [backup-simplify]: Simplify -1 into -1 11.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.898 * [backup-simplify]: Simplify (- 0) into 0 11.899 * [backup-simplify]: Simplify (+ 0 0) into 0 11.902 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 11.902 * [backup-simplify]: Simplify -1/2 into -1/2 11.903 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) (log 1/2))) into (- (log 1/2) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))) 11.903 * [backup-simplify]: Simplify (log (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (log (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) 11.903 * [approximate]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in (x) around 0 11.903 * [taylor]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 11.903 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.903 * [taylor]: Taking taylor expansion of 1/2 in x 11.903 * [backup-simplify]: Simplify 1/2 into 1/2 11.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.903 * [taylor]: Taking taylor expansion of 1/2 in x 11.903 * [backup-simplify]: Simplify 1/2 into 1/2 11.903 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.903 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.903 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.903 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.903 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.903 * [taylor]: Taking taylor expansion of 1 in x 11.903 * [backup-simplify]: Simplify 1 into 1 11.903 * [taylor]: Taking taylor expansion of 1 in x 11.903 * [backup-simplify]: Simplify 1 into 1 11.903 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.903 * [taylor]: Taking taylor expansion of -1 in x 11.903 * [backup-simplify]: Simplify -1 into -1 11.903 * [taylor]: Taking taylor expansion of x in x 11.903 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 1 into 1 11.904 * [backup-simplify]: Simplify (/ -1 1) into -1 11.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.904 * [taylor]: Taking taylor expansion of -1 in x 11.904 * [backup-simplify]: Simplify -1 into -1 11.904 * [taylor]: Taking taylor expansion of x in x 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 1 into 1 11.905 * [backup-simplify]: Simplify (/ -1 1) into -1 11.905 * [backup-simplify]: Simplify (* -1 -1) into 1 11.905 * [backup-simplify]: Simplify (+ 0 1) into 1 11.906 * [backup-simplify]: Simplify (sqrt 1) into 1 11.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.908 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.909 * [backup-simplify]: Simplify (+ 0 0) into 0 11.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.910 * [backup-simplify]: Simplify (/ 1 1) into 1 11.910 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.911 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 11.911 * [taylor]: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 11.911 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 11.911 * [taylor]: Taking taylor expansion of 1/2 in x 11.911 * [backup-simplify]: Simplify 1/2 into 1/2 11.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.911 * [taylor]: Taking taylor expansion of 1/2 in x 11.912 * [backup-simplify]: Simplify 1/2 into 1/2 11.912 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.912 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.912 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.912 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.912 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.912 * [taylor]: Taking taylor expansion of 1 in x 11.912 * [backup-simplify]: Simplify 1 into 1 11.912 * [taylor]: Taking taylor expansion of 1 in x 11.912 * [backup-simplify]: Simplify 1 into 1 11.912 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.912 * [taylor]: Taking taylor expansion of -1 in x 11.912 * [backup-simplify]: Simplify -1 into -1 11.912 * [taylor]: Taking taylor expansion of x in x 11.912 * [backup-simplify]: Simplify 0 into 0 11.912 * [backup-simplify]: Simplify 1 into 1 11.912 * [backup-simplify]: Simplify (/ -1 1) into -1 11.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.913 * [taylor]: Taking taylor expansion of -1 in x 11.913 * [backup-simplify]: Simplify -1 into -1 11.913 * [taylor]: Taking taylor expansion of x in x 11.913 * [backup-simplify]: Simplify 0 into 0 11.913 * [backup-simplify]: Simplify 1 into 1 11.913 * [backup-simplify]: Simplify (/ -1 1) into -1 11.913 * [backup-simplify]: Simplify (* -1 -1) into 1 11.914 * [backup-simplify]: Simplify (+ 0 1) into 1 11.914 * [backup-simplify]: Simplify (sqrt 1) into 1 11.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.917 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.917 * [backup-simplify]: Simplify (+ 0 0) into 0 11.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.918 * [backup-simplify]: Simplify (/ 1 1) into 1 11.919 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.919 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 11.920 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 11.920 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.921 * [backup-simplify]: Simplify (- 1/2) into -1/2 11.921 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 11.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/2 1)))) 1) into -1 11.923 * [backup-simplify]: Simplify -1 into -1 11.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.925 * [backup-simplify]: Simplify (- 0) into 0 11.925 * [backup-simplify]: Simplify (+ 0 0) into 0 11.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 11.928 * [backup-simplify]: Simplify -1/2 into -1/2 11.929 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (log 1/2))) into (- (+ (log 1/2) (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) 11.929 * * * [progress]: simplifying candidates 11.929 * * * * [progress]: [ 1 / 135 ] simplifiying candidate # 11.929 * * * * [progress]: [ 2 / 135 ] simplifiying candidate # 11.929 * * * * [progress]: [ 3 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 4 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 5 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 6 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 7 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 8 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 9 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 10 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 11 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 12 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 13 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 14 / 135 ] simplifiying candidate # 11.930 * * * * [progress]: [ 15 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 16 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 17 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 18 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 19 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 20 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 21 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 22 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 23 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 24 / 135 ] simplifiying candidate # 11.931 * * * * [progress]: [ 25 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 26 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 27 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 28 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 29 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 30 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 31 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 32 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 33 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 34 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 35 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 36 / 135 ] simplifiying candidate # 11.932 * * * * [progress]: [ 37 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 38 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 39 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 40 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 41 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 42 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 43 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 44 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 45 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 46 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 47 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 48 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 49 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 50 / 135 ] simplifiying candidate # 11.933 * * * * [progress]: [ 51 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 52 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 53 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 54 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 55 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 56 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 57 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 58 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 59 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 60 / 135 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 11.934 * * * * [progress]: [ 61 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 62 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 63 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 64 / 135 ] simplifiying candidate # 11.934 * * * * [progress]: [ 65 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 66 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 67 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 68 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 69 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 70 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 71 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 72 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 73 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 74 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 75 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 76 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 77 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 78 / 135 ] simplifiying candidate # 11.935 * * * * [progress]: [ 79 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 80 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 81 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 82 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 83 / 135 ] simplifiying candidate #real (real->posit16 (exp (log (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 11.936 * * * * [progress]: [ 84 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 85 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 86 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 87 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 88 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 89 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 90 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 91 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 92 / 135 ] simplifiying candidate # 11.936 * * * * [progress]: [ 93 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 94 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 95 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 96 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 97 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 98 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 99 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 100 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 101 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 102 / 135 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))> 11.937 * * * * [progress]: [ 103 / 135 ] simplifiying candidate # 11.937 * * * * [progress]: [ 104 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 105 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 106 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 107 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 108 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 109 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 110 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 111 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 112 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 113 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 114 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 115 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 116 / 135 ] simplifiying candidate # 11.938 * * * * [progress]: [ 117 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 118 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 119 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 120 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 121 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 122 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 123 / 135 ] simplifiying candidate #real (real->posit16 (log (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 11.939 * * * * [progress]: [ 124 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 125 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 126 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 127 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 128 / 135 ] simplifiying candidate # 11.939 * * * * [progress]: [ 129 / 135 ] simplifiying candidate # 11.940 * * * * [progress]: [ 130 / 135 ] simplifiying candidate # 11.940 * * * * [progress]: [ 131 / 135 ] simplifiying candidate # 11.940 * * * * [progress]: [ 132 / 135 ] simplifiying candidate # 11.940 * * * * [progress]: [ 133 / 135 ] simplifiying candidate # 11.940 * * * * [progress]: [ 134 / 135 ] simplifiying candidate # 11.940 * * * * [progress]: [ 135 / 135 ] simplifiying candidate # 11.946 * [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 (- (/ 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(hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))) (log (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) 0 (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (log (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (log (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (log (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) 0 (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (log (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (log (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (log (- 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (cbrt (log (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (log (- 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (log (- 1/2 (/ 1/2 (hypot 1 x))))) (* (* (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x))))) (log (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (log (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (log (- 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (log (- 1/2 (/ 1/2 (hypot 1 x))))) (fma -3/16 (* (* x x) (* x x)) (fma (* x x) 1/4 (* (* 5/32 (* x x)) (* (* x x) (* x x))))) (- (+ 1/2 (/ 1/4 (* (* x x) x))) (/ 1/2 x)) (+ (- 1/2 (/ 1/4 (* (* x x) x))) (/ 1/2 x)) (fma -3/16 (* (* x x) (* x x)) (fma (* x x) 1/4 (* (* 5/32 (* x x)) (* (* x x) (* x x))))) (- (+ 1/2 (/ 1/4 (* (* x x) x))) (/ 1/2 x)) (+ (- 1/2 (/ 1/4 (* (* x x) x))) (/ 1/2 x)) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 2)) (+ (sqrt 1/2) (- (+ (/ (/ 1/4 x) (sqrt 1/2)) 1) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))))) (+ (- (+ 1 (sqrt 1/2)) (/ (/ 1/4 x) (sqrt 1/2))) (/ -1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (fma (* x x) -3/4 (fma (* (* x x) (* x x)) 11/32 (fma 2 (log x) (log 1/4)))) (- (- (log 1/2) (/ 1 x)) (/ (/ 1/2 x) x)) (+ (- (log 1/2) (/ (/ 1/2 x) x)) (/ 1 x)) 16.645 * * * [progress]: adding candidates to table 18.527 * * [progress]: iteration 4 / 4 18.527 * * * [progress]: picking best candidate 18.537 * * * * [pick]: Picked # 18.537 * * * [progress]: localizing error 18.585 * * * [progress]: generating rewritten candidates 18.585 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 18.604 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 18.624 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 18.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 18.676 * * * [progress]: generating series expansions 18.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 18.676 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) 18.676 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in (x) around 0 18.676 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 18.676 * [taylor]: Taking taylor expansion of 1/8 in x 18.676 * [backup-simplify]: Simplify 1/8 into 1/8 18.676 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 18.676 * [taylor]: Taking taylor expansion of 1/8 in x 18.676 * [backup-simplify]: Simplify 1/8 into 1/8 18.676 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 18.676 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 18.676 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.677 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 18.677 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 18.677 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.677 * [taylor]: Taking taylor expansion of 1 in x 18.677 * [backup-simplify]: Simplify 1 into 1 18.677 * [taylor]: Taking taylor expansion of 1 in x 18.677 * [backup-simplify]: Simplify 1 into 1 18.677 * [taylor]: Taking taylor expansion of (* x x) in x 18.677 * [taylor]: Taking taylor expansion of x in x 18.677 * [backup-simplify]: Simplify 0 into 0 18.677 * [backup-simplify]: Simplify 1 into 1 18.677 * [taylor]: Taking taylor expansion of x in x 18.677 * [backup-simplify]: Simplify 0 into 0 18.677 * [backup-simplify]: Simplify 1 into 1 18.678 * [backup-simplify]: Simplify (* 1 1) into 1 18.678 * [backup-simplify]: Simplify (* 0 0) into 0 18.678 * [backup-simplify]: Simplify (+ 1 0) into 1 18.679 * [backup-simplify]: Simplify (sqrt 1) into 1 18.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.680 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.680 * [backup-simplify]: Simplify (+ 0 0) into 0 18.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.681 * [backup-simplify]: Simplify (* 1 1) into 1 18.682 * [backup-simplify]: Simplify (* 1 1) into 1 18.682 * [backup-simplify]: Simplify (/ 1 1) into 1 18.682 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 18.682 * [taylor]: Taking taylor expansion of 1/8 in x 18.682 * [backup-simplify]: Simplify 1/8 into 1/8 18.682 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 18.682 * [taylor]: Taking taylor expansion of 1/8 in x 18.682 * [backup-simplify]: Simplify 1/8 into 1/8 18.682 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 18.682 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 18.682 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 18.682 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 18.682 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.683 * [taylor]: Taking taylor expansion of 1 in x 18.683 * [backup-simplify]: Simplify 1 into 1 18.683 * [taylor]: Taking taylor expansion of 1 in x 18.683 * [backup-simplify]: Simplify 1 into 1 18.683 * [taylor]: Taking taylor expansion of (* x x) in x 18.683 * [taylor]: Taking taylor expansion of x in x 18.683 * [backup-simplify]: Simplify 0 into 0 18.683 * [backup-simplify]: Simplify 1 into 1 18.683 * [taylor]: Taking taylor expansion of x in x 18.683 * [backup-simplify]: Simplify 0 into 0 18.683 * [backup-simplify]: Simplify 1 into 1 18.683 * [backup-simplify]: Simplify (* 1 1) into 1 18.683 * [backup-simplify]: Simplify (* 0 0) into 0 18.684 * [backup-simplify]: Simplify (+ 1 0) into 1 18.684 * [backup-simplify]: Simplify (sqrt 1) into 1 18.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.685 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.685 * [backup-simplify]: Simplify (+ 0 0) into 0 18.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.686 * [backup-simplify]: Simplify (* 1 1) into 1 18.686 * [backup-simplify]: Simplify (* 1 1) into 1 18.686 * [backup-simplify]: Simplify (/ 1 1) into 1 18.686 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 18.687 * [backup-simplify]: Simplify (- 1/8) into -1/8 18.687 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 18.687 * [backup-simplify]: Simplify 0 into 0 18.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.689 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 18.689 * [backup-simplify]: Simplify (- 0) into 0 18.689 * [backup-simplify]: Simplify (+ 0 0) into 0 18.689 * [backup-simplify]: Simplify 0 into 0 18.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 18.690 * [backup-simplify]: Simplify (+ 0 1) into 1 18.691 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.692 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.692 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 18.694 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 18.694 * [backup-simplify]: Simplify (- -3/16) into 3/16 18.694 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 18.694 * [backup-simplify]: Simplify 3/16 into 3/16 18.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 18.696 * [backup-simplify]: Simplify (+ 0 0) into 0 18.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 18.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 18.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 18.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 18.700 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 18.700 * [backup-simplify]: Simplify (- 0) into 0 18.700 * [backup-simplify]: Simplify (+ 0 0) into 0 18.700 * [backup-simplify]: Simplify 0 into 0 18.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.702 * [backup-simplify]: Simplify (+ 0 0) into 0 18.703 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 18.704 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 18.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 18.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 18.707 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 18.707 * [backup-simplify]: Simplify (- 15/64) into -15/64 18.707 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 18.707 * [backup-simplify]: Simplify -15/64 into -15/64 18.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 18.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 18.709 * [backup-simplify]: Simplify (+ 0 0) into 0 18.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 18.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 18.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 18.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 18.715 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 18.715 * [backup-simplify]: Simplify (- 0) into 0 18.716 * [backup-simplify]: Simplify (+ 0 0) into 0 18.716 * [backup-simplify]: Simplify 0 into 0 18.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 18.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 18.718 * [backup-simplify]: Simplify (+ 0 0) into 0 18.719 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 18.720 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 18.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 18.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 18.724 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 18.725 * [backup-simplify]: Simplify (- -35/128) into 35/128 18.725 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 18.725 * [backup-simplify]: Simplify 35/128 into 35/128 18.725 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 6)) (+ (* -15/64 (pow x 4)) (* 3/16 (pow x 2)))) into (- (+ (* 3/16 (pow x 2)) (* 35/128 (pow x 6))) (* 15/64 (pow x 4))) 18.725 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (hypot 1 (/ 1 x)) (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x)))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) 18.725 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in (x) around 0 18.725 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 18.725 * [taylor]: Taking taylor expansion of 1/8 in x 18.725 * [backup-simplify]: Simplify 1/8 into 1/8 18.725 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 18.725 * [taylor]: Taking taylor expansion of 1/8 in x 18.725 * [backup-simplify]: Simplify 1/8 into 1/8 18.725 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 18.726 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 18.726 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 18.726 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 18.726 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 18.726 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.726 * [taylor]: Taking taylor expansion of 1 in x 18.726 * [backup-simplify]: Simplify 1 into 1 18.726 * [taylor]: Taking taylor expansion of 1 in x 18.726 * [backup-simplify]: Simplify 1 into 1 18.726 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 18.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.726 * [taylor]: Taking taylor expansion of x in x 18.726 * [backup-simplify]: Simplify 0 into 0 18.726 * [backup-simplify]: Simplify 1 into 1 18.726 * [backup-simplify]: Simplify (/ 1 1) into 1 18.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.726 * [taylor]: Taking taylor expansion of x in x 18.726 * [backup-simplify]: Simplify 0 into 0 18.726 * [backup-simplify]: Simplify 1 into 1 18.726 * [backup-simplify]: Simplify (/ 1 1) into 1 18.727 * [backup-simplify]: Simplify (* 1 1) into 1 18.727 * [backup-simplify]: Simplify (+ 0 1) into 1 18.727 * [backup-simplify]: Simplify (sqrt 1) into 1 18.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.729 * [backup-simplify]: Simplify (+ 0 0) into 0 18.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.729 * [backup-simplify]: Simplify (* 1 1) into 1 18.730 * [backup-simplify]: Simplify (* 1 1) into 1 18.730 * [backup-simplify]: Simplify (/ 1 1) into 1 18.730 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 18.730 * [taylor]: Taking taylor expansion of 1/8 in x 18.730 * [backup-simplify]: Simplify 1/8 into 1/8 18.730 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 18.730 * [taylor]: Taking taylor expansion of 1/8 in x 18.730 * [backup-simplify]: Simplify 1/8 into 1/8 18.730 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 18.730 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 18.730 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 18.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 18.730 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 18.730 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.730 * [taylor]: Taking taylor expansion of 1 in x 18.730 * [backup-simplify]: Simplify 1 into 1 18.730 * [taylor]: Taking taylor expansion of 1 in x 18.730 * [backup-simplify]: Simplify 1 into 1 18.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 18.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.730 * [taylor]: Taking taylor expansion of x in x 18.730 * [backup-simplify]: Simplify 0 into 0 18.730 * [backup-simplify]: Simplify 1 into 1 18.730 * [backup-simplify]: Simplify (/ 1 1) into 1 18.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.730 * [taylor]: Taking taylor expansion of x in x 18.730 * [backup-simplify]: Simplify 0 into 0 18.730 * [backup-simplify]: Simplify 1 into 1 18.731 * [backup-simplify]: Simplify (/ 1 1) into 1 18.731 * [backup-simplify]: Simplify (* 1 1) into 1 18.731 * [backup-simplify]: Simplify (+ 0 1) into 1 18.732 * [backup-simplify]: Simplify (sqrt 1) into 1 18.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.733 * [backup-simplify]: Simplify (+ 0 0) into 0 18.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.734 * [backup-simplify]: Simplify (* 1 1) into 1 18.734 * [backup-simplify]: Simplify (* 1 1) into 1 18.734 * [backup-simplify]: Simplify (/ 1 1) into 1 18.735 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 18.735 * [backup-simplify]: Simplify 1/8 into 1/8 18.735 * [backup-simplify]: Simplify (+ 0 0) into 0 18.735 * [backup-simplify]: Simplify 0 into 0 18.735 * [backup-simplify]: Simplify (+ 0 0) into 0 18.735 * [backup-simplify]: Simplify 0 into 0 18.736 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 18.736 * [backup-simplify]: Simplify (- 1/8) into -1/8 18.736 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 18.736 * [backup-simplify]: Simplify -1/8 into -1/8 18.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.738 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 18.738 * [backup-simplify]: Simplify (- 0) into 0 18.739 * [backup-simplify]: Simplify (+ 0 0) into 0 18.739 * [backup-simplify]: Simplify 0 into 0 18.739 * [backup-simplify]: Simplify (* 1 1) into 1 18.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.741 * [backup-simplify]: Simplify (+ 1 0) into 1 18.741 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.742 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.743 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 18.744 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 18.744 * [backup-simplify]: Simplify (- -3/16) into 3/16 18.745 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 18.745 * [backup-simplify]: Simplify 3/16 into 3/16 18.745 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/8 (pow (/ 1 x) 3)) 1/8)) into (- (+ (* 3/16 (/ 1 (pow x 5))) 1/8) (* 1/8 (/ 1 (pow x 3)))) 18.745 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (hypot 1 (/ 1 (- x))) (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x))))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) 18.745 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in (x) around 0 18.745 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 18.745 * [taylor]: Taking taylor expansion of 1/8 in x 18.745 * [backup-simplify]: Simplify 1/8 into 1/8 18.745 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 18.745 * [taylor]: Taking taylor expansion of 1/8 in x 18.745 * [backup-simplify]: Simplify 1/8 into 1/8 18.745 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 18.745 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 18.745 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 18.745 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 18.745 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 18.745 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.745 * [taylor]: Taking taylor expansion of 1 in x 18.745 * [backup-simplify]: Simplify 1 into 1 18.745 * [taylor]: Taking taylor expansion of 1 in x 18.745 * [backup-simplify]: Simplify 1 into 1 18.745 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 18.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.745 * [taylor]: Taking taylor expansion of -1 in x 18.746 * [backup-simplify]: Simplify -1 into -1 18.746 * [taylor]: Taking taylor expansion of x in x 18.746 * [backup-simplify]: Simplify 0 into 0 18.746 * [backup-simplify]: Simplify 1 into 1 18.746 * [backup-simplify]: Simplify (/ -1 1) into -1 18.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.746 * [taylor]: Taking taylor expansion of -1 in x 18.746 * [backup-simplify]: Simplify -1 into -1 18.746 * [taylor]: Taking taylor expansion of x in x 18.746 * [backup-simplify]: Simplify 0 into 0 18.746 * [backup-simplify]: Simplify 1 into 1 18.747 * [backup-simplify]: Simplify (/ -1 1) into -1 18.747 * [backup-simplify]: Simplify (* -1 -1) into 1 18.747 * [backup-simplify]: Simplify (+ 0 1) into 1 18.748 * [backup-simplify]: Simplify (sqrt 1) into 1 18.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.749 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 18.749 * [backup-simplify]: Simplify (+ 0 0) into 0 18.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.750 * [backup-simplify]: Simplify (* 1 1) into 1 18.750 * [backup-simplify]: Simplify (* 1 1) into 1 18.750 * [backup-simplify]: Simplify (/ 1 1) into 1 18.751 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 18.751 * [taylor]: Taking taylor expansion of 1/8 in x 18.751 * [backup-simplify]: Simplify 1/8 into 1/8 18.751 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 18.751 * [taylor]: Taking taylor expansion of 1/8 in x 18.751 * [backup-simplify]: Simplify 1/8 into 1/8 18.751 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 18.751 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 18.751 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 18.751 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 18.751 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 18.751 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.751 * [taylor]: Taking taylor expansion of 1 in x 18.751 * [backup-simplify]: Simplify 1 into 1 18.751 * [taylor]: Taking taylor expansion of 1 in x 18.751 * [backup-simplify]: Simplify 1 into 1 18.751 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 18.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.751 * [taylor]: Taking taylor expansion of -1 in x 18.751 * [backup-simplify]: Simplify -1 into -1 18.751 * [taylor]: Taking taylor expansion of x in x 18.751 * [backup-simplify]: Simplify 0 into 0 18.751 * [backup-simplify]: Simplify 1 into 1 18.751 * [backup-simplify]: Simplify (/ -1 1) into -1 18.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.751 * [taylor]: Taking taylor expansion of -1 in x 18.752 * [backup-simplify]: Simplify -1 into -1 18.752 * [taylor]: Taking taylor expansion of x in x 18.752 * [backup-simplify]: Simplify 0 into 0 18.752 * [backup-simplify]: Simplify 1 into 1 18.752 * [backup-simplify]: Simplify (/ -1 1) into -1 18.752 * [backup-simplify]: Simplify (* -1 -1) into 1 18.753 * [backup-simplify]: Simplify (+ 0 1) into 1 18.753 * [backup-simplify]: Simplify (sqrt 1) into 1 18.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.755 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 18.756 * [backup-simplify]: Simplify (+ 0 0) into 0 18.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.757 * [backup-simplify]: Simplify (* 1 1) into 1 18.757 * [backup-simplify]: Simplify (* 1 1) into 1 18.758 * [backup-simplify]: Simplify (/ 1 1) into 1 18.758 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 18.758 * [backup-simplify]: Simplify 1/8 into 1/8 18.758 * [backup-simplify]: Simplify (+ 0 0) into 0 18.758 * [backup-simplify]: Simplify 0 into 0 18.759 * [backup-simplify]: Simplify (+ 0 0) into 0 18.759 * [backup-simplify]: Simplify 0 into 0 18.759 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 18.760 * [backup-simplify]: Simplify (- 1/8) into -1/8 18.760 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 18.760 * [backup-simplify]: Simplify -1/8 into -1/8 18.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.763 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 18.763 * [backup-simplify]: Simplify (- 0) into 0 18.764 * [backup-simplify]: Simplify (+ 0 0) into 0 18.764 * [backup-simplify]: Simplify 0 into 0 18.764 * [backup-simplify]: Simplify (* 1 1) into 1 18.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 18.770 * [backup-simplify]: Simplify (+ 1 0) into 1 18.771 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.773 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.774 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 18.776 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 18.776 * [backup-simplify]: Simplify (- -3/16) into 3/16 18.777 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 18.777 * [backup-simplify]: Simplify 3/16 into 3/16 18.777 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) 1/8)) into (- (+ (* 1/8 (/ 1 (pow x 3))) 1/8) (* 3/16 (/ 1 (pow x 5)))) 18.777 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 18.777 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) into (/ 1/8 (pow (hypot 1 x) 3)) 18.777 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in (x) around 0 18.777 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 18.777 * [taylor]: Taking taylor expansion of 1/8 in x 18.777 * [backup-simplify]: Simplify 1/8 into 1/8 18.777 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 18.777 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.777 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 18.778 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 18.778 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.778 * [taylor]: Taking taylor expansion of 1 in x 18.778 * [backup-simplify]: Simplify 1 into 1 18.778 * [taylor]: Taking taylor expansion of 1 in x 18.778 * [backup-simplify]: Simplify 1 into 1 18.778 * [taylor]: Taking taylor expansion of (* x x) in x 18.778 * [taylor]: Taking taylor expansion of x in x 18.778 * [backup-simplify]: Simplify 0 into 0 18.778 * [backup-simplify]: Simplify 1 into 1 18.778 * [taylor]: Taking taylor expansion of x in x 18.778 * [backup-simplify]: Simplify 0 into 0 18.778 * [backup-simplify]: Simplify 1 into 1 18.778 * [backup-simplify]: Simplify (* 1 1) into 1 18.779 * [backup-simplify]: Simplify (* 0 0) into 0 18.779 * [backup-simplify]: Simplify (+ 1 0) into 1 18.779 * [backup-simplify]: Simplify (sqrt 1) into 1 18.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.781 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.781 * [backup-simplify]: Simplify (+ 0 0) into 0 18.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.782 * [backup-simplify]: Simplify (* 1 1) into 1 18.782 * [backup-simplify]: Simplify (* 1 1) into 1 18.783 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 18.783 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 18.783 * [taylor]: Taking taylor expansion of 1/8 in x 18.783 * [backup-simplify]: Simplify 1/8 into 1/8 18.783 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 18.783 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.783 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 18.783 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 18.783 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.783 * [taylor]: Taking taylor expansion of 1 in x 18.783 * [backup-simplify]: Simplify 1 into 1 18.783 * [taylor]: Taking taylor expansion of 1 in x 18.783 * [backup-simplify]: Simplify 1 into 1 18.783 * [taylor]: Taking taylor expansion of (* x x) in x 18.783 * [taylor]: Taking taylor expansion of x in x 18.783 * [backup-simplify]: Simplify 0 into 0 18.783 * [backup-simplify]: Simplify 1 into 1 18.783 * [taylor]: Taking taylor expansion of x in x 18.783 * [backup-simplify]: Simplify 0 into 0 18.783 * [backup-simplify]: Simplify 1 into 1 18.784 * [backup-simplify]: Simplify (* 1 1) into 1 18.784 * [backup-simplify]: Simplify (* 0 0) into 0 18.784 * [backup-simplify]: Simplify (+ 1 0) into 1 18.785 * [backup-simplify]: Simplify (sqrt 1) into 1 18.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.786 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.786 * [backup-simplify]: Simplify (+ 0 0) into 0 18.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.787 * [backup-simplify]: Simplify (* 1 1) into 1 18.788 * [backup-simplify]: Simplify (* 1 1) into 1 18.788 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 18.788 * [backup-simplify]: Simplify 1/8 into 1/8 18.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 18.790 * [backup-simplify]: Simplify 0 into 0 18.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 18.792 * [backup-simplify]: Simplify (+ 0 1) into 1 18.793 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.794 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.795 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 18.797 * [backup-simplify]: Simplify -3/16 into -3/16 18.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 18.799 * [backup-simplify]: Simplify (+ 0 0) into 0 18.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 18.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 18.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 18.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 18.804 * [backup-simplify]: Simplify 0 into 0 18.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.807 * [backup-simplify]: Simplify (+ 0 0) into 0 18.808 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 18.808 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 18.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 18.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 18.810 * [backup-simplify]: Simplify 15/64 into 15/64 18.811 * [backup-simplify]: Simplify (+ (* 15/64 (pow x 4)) (+ (* -3/16 (pow x 2)) 1/8)) into (- (+ (* 15/64 (pow x 4)) 1/8) (* 3/16 (pow x 2))) 18.811 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 (/ 1 x)) (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))))) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) 18.811 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in (x) around 0 18.811 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 18.811 * [taylor]: Taking taylor expansion of 1/8 in x 18.811 * [backup-simplify]: Simplify 1/8 into 1/8 18.811 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 18.811 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 18.811 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 18.811 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 18.811 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.811 * [taylor]: Taking taylor expansion of 1 in x 18.811 * [backup-simplify]: Simplify 1 into 1 18.811 * [taylor]: Taking taylor expansion of 1 in x 18.811 * [backup-simplify]: Simplify 1 into 1 18.811 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 18.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.811 * [taylor]: Taking taylor expansion of x in x 18.811 * [backup-simplify]: Simplify 0 into 0 18.811 * [backup-simplify]: Simplify 1 into 1 18.811 * [backup-simplify]: Simplify (/ 1 1) into 1 18.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.811 * [taylor]: Taking taylor expansion of x in x 18.811 * [backup-simplify]: Simplify 0 into 0 18.811 * [backup-simplify]: Simplify 1 into 1 18.812 * [backup-simplify]: Simplify (/ 1 1) into 1 18.812 * [backup-simplify]: Simplify (* 1 1) into 1 18.812 * [backup-simplify]: Simplify (+ 0 1) into 1 18.812 * [backup-simplify]: Simplify (sqrt 1) into 1 18.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.814 * [backup-simplify]: Simplify (+ 0 0) into 0 18.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.815 * [backup-simplify]: Simplify (* 1 1) into 1 18.815 * [backup-simplify]: Simplify (* 1 1) into 1 18.815 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 18.815 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 18.815 * [taylor]: Taking taylor expansion of 1/8 in x 18.815 * [backup-simplify]: Simplify 1/8 into 1/8 18.815 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 18.815 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 18.815 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 18.815 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 18.815 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.815 * [taylor]: Taking taylor expansion of 1 in x 18.815 * [backup-simplify]: Simplify 1 into 1 18.816 * [taylor]: Taking taylor expansion of 1 in x 18.816 * [backup-simplify]: Simplify 1 into 1 18.816 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 18.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.816 * [taylor]: Taking taylor expansion of x in x 18.816 * [backup-simplify]: Simplify 0 into 0 18.816 * [backup-simplify]: Simplify 1 into 1 18.816 * [backup-simplify]: Simplify (/ 1 1) into 1 18.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.816 * [taylor]: Taking taylor expansion of x in x 18.816 * [backup-simplify]: Simplify 0 into 0 18.816 * [backup-simplify]: Simplify 1 into 1 18.816 * [backup-simplify]: Simplify (/ 1 1) into 1 18.816 * [backup-simplify]: Simplify (* 1 1) into 1 18.817 * [backup-simplify]: Simplify (+ 0 1) into 1 18.817 * [backup-simplify]: Simplify (sqrt 1) into 1 18.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.818 * [backup-simplify]: Simplify (+ 0 0) into 0 18.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.819 * [backup-simplify]: Simplify (* 1 1) into 1 18.819 * [backup-simplify]: Simplify (* 1 1) into 1 18.820 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 18.820 * [backup-simplify]: Simplify 1/8 into 1/8 18.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 18.821 * [backup-simplify]: Simplify 0 into 0 18.821 * [backup-simplify]: Simplify (* 1 1) into 1 18.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.823 * [backup-simplify]: Simplify (+ 1 0) into 1 18.824 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.825 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.825 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 18.826 * [backup-simplify]: Simplify -3/16 into -3/16 18.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.828 * [backup-simplify]: Simplify (+ 0 0) into 0 18.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 18.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 18.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 18.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 18.832 * [backup-simplify]: Simplify 0 into 0 18.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.835 * [backup-simplify]: Simplify (+ 0 0) into 0 18.836 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 18.837 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 18.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 18.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 18.839 * [backup-simplify]: Simplify 15/64 into 15/64 18.839 * [backup-simplify]: Simplify (+ (* 15/64 (pow (/ 1 x) 7)) (+ (* -3/16 (pow (/ 1 x) 5)) (* 1/8 (pow (/ 1 x) 3)))) into (- (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3)))) (* 3/16 (/ 1 (pow x 5)))) 18.839 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 (/ 1 (- x))) (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))))) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) 18.839 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in (x) around 0 18.839 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 18.840 * [taylor]: Taking taylor expansion of 1/8 in x 18.840 * [backup-simplify]: Simplify 1/8 into 1/8 18.840 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 18.840 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 18.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 18.840 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 18.840 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.840 * [taylor]: Taking taylor expansion of 1 in x 18.840 * [backup-simplify]: Simplify 1 into 1 18.840 * [taylor]: Taking taylor expansion of 1 in x 18.840 * [backup-simplify]: Simplify 1 into 1 18.840 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 18.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.840 * [taylor]: Taking taylor expansion of -1 in x 18.840 * [backup-simplify]: Simplify -1 into -1 18.840 * [taylor]: Taking taylor expansion of x in x 18.840 * [backup-simplify]: Simplify 0 into 0 18.840 * [backup-simplify]: Simplify 1 into 1 18.841 * [backup-simplify]: Simplify (/ -1 1) into -1 18.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.841 * [taylor]: Taking taylor expansion of -1 in x 18.841 * [backup-simplify]: Simplify -1 into -1 18.841 * [taylor]: Taking taylor expansion of x in x 18.841 * [backup-simplify]: Simplify 0 into 0 18.841 * [backup-simplify]: Simplify 1 into 1 18.841 * [backup-simplify]: Simplify (/ -1 1) into -1 18.842 * [backup-simplify]: Simplify (* -1 -1) into 1 18.842 * [backup-simplify]: Simplify (+ 0 1) into 1 18.842 * [backup-simplify]: Simplify (sqrt 1) into 1 18.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.845 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 18.845 * [backup-simplify]: Simplify (+ 0 0) into 0 18.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.846 * [backup-simplify]: Simplify (* 1 1) into 1 18.847 * [backup-simplify]: Simplify (* 1 1) into 1 18.848 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 18.848 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 18.848 * [taylor]: Taking taylor expansion of 1/8 in x 18.848 * [backup-simplify]: Simplify 1/8 into 1/8 18.848 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 18.848 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 18.848 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 18.848 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 18.848 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.848 * [taylor]: Taking taylor expansion of 1 in x 18.848 * [backup-simplify]: Simplify 1 into 1 18.848 * [taylor]: Taking taylor expansion of 1 in x 18.848 * [backup-simplify]: Simplify 1 into 1 18.848 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 18.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.848 * [taylor]: Taking taylor expansion of -1 in x 18.848 * [backup-simplify]: Simplify -1 into -1 18.848 * [taylor]: Taking taylor expansion of x in x 18.848 * [backup-simplify]: Simplify 0 into 0 18.849 * [backup-simplify]: Simplify 1 into 1 18.849 * [backup-simplify]: Simplify (/ -1 1) into -1 18.849 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.849 * [taylor]: Taking taylor expansion of -1 in x 18.849 * [backup-simplify]: Simplify -1 into -1 18.849 * [taylor]: Taking taylor expansion of x in x 18.849 * [backup-simplify]: Simplify 0 into 0 18.849 * [backup-simplify]: Simplify 1 into 1 18.850 * [backup-simplify]: Simplify (/ -1 1) into -1 18.850 * [backup-simplify]: Simplify (* -1 -1) into 1 18.851 * [backup-simplify]: Simplify (+ 0 1) into 1 18.851 * [backup-simplify]: Simplify (sqrt 1) into 1 18.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.853 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 18.854 * [backup-simplify]: Simplify (+ 0 0) into 0 18.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.855 * [backup-simplify]: Simplify (* 1 1) into 1 18.855 * [backup-simplify]: Simplify (* 1 1) into 1 18.855 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 18.856 * [backup-simplify]: Simplify 1/8 into 1/8 18.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 18.857 * [backup-simplify]: Simplify 0 into 0 18.857 * [backup-simplify]: Simplify (* 1 1) into 1 18.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.859 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 18.859 * [backup-simplify]: Simplify (+ 1 0) into 1 18.860 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.860 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.861 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 18.862 * [backup-simplify]: Simplify -3/16 into -3/16 18.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.864 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 18.865 * [backup-simplify]: Simplify (+ 0 0) into 0 18.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 18.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 18.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 18.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 18.868 * [backup-simplify]: Simplify 0 into 0 18.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 18.871 * [backup-simplify]: Simplify (+ 0 0) into 0 18.871 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 18.872 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 18.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 18.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 18.874 * [backup-simplify]: Simplify 15/64 into 15/64 18.875 * [backup-simplify]: Simplify (+ (* 15/64 (pow (/ 1 (- x)) 7)) (+ (* -3/16 (pow (/ 1 (- x)) 5)) (* 1/8 (pow (/ 1 (- x)) 3)))) into (- (* 3/16 (/ 1 (pow x 5))) (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3))))) 18.875 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 18.875 * [backup-simplify]: Simplify (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) into (pow (hypot 1 x) 3) 18.875 * [approximate]: Taking taylor expansion of (pow (hypot 1 x) 3) in (x) around 0 18.875 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 18.875 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.875 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 18.875 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 18.875 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.875 * [taylor]: Taking taylor expansion of 1 in x 18.875 * [backup-simplify]: Simplify 1 into 1 18.875 * [taylor]: Taking taylor expansion of 1 in x 18.875 * [backup-simplify]: Simplify 1 into 1 18.875 * [taylor]: Taking taylor expansion of (* x x) in x 18.875 * [taylor]: Taking taylor expansion of x in x 18.875 * [backup-simplify]: Simplify 0 into 0 18.875 * [backup-simplify]: Simplify 1 into 1 18.875 * [taylor]: Taking taylor expansion of x in x 18.875 * [backup-simplify]: Simplify 0 into 0 18.875 * [backup-simplify]: Simplify 1 into 1 18.875 * [backup-simplify]: Simplify (* 1 1) into 1 18.876 * [backup-simplify]: Simplify (* 0 0) into 0 18.876 * [backup-simplify]: Simplify (+ 1 0) into 1 18.876 * [backup-simplify]: Simplify (sqrt 1) into 1 18.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.878 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.879 * [backup-simplify]: Simplify (+ 0 0) into 0 18.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.879 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 18.879 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.879 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 18.879 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 18.879 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.879 * [taylor]: Taking taylor expansion of 1 in x 18.879 * [backup-simplify]: Simplify 1 into 1 18.879 * [taylor]: Taking taylor expansion of 1 in x 18.879 * [backup-simplify]: Simplify 1 into 1 18.879 * [taylor]: Taking taylor expansion of (* x x) in x 18.879 * [taylor]: Taking taylor expansion of x in x 18.879 * [backup-simplify]: Simplify 0 into 0 18.879 * [backup-simplify]: Simplify 1 into 1 18.879 * [taylor]: Taking taylor expansion of x in x 18.879 * [backup-simplify]: Simplify 0 into 0 18.879 * [backup-simplify]: Simplify 1 into 1 18.880 * [backup-simplify]: Simplify (* 1 1) into 1 18.880 * [backup-simplify]: Simplify (* 0 0) into 0 18.880 * [backup-simplify]: Simplify (+ 1 0) into 1 18.880 * [backup-simplify]: Simplify (sqrt 1) into 1 18.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.881 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.882 * [backup-simplify]: Simplify (+ 0 0) into 0 18.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.883 * [backup-simplify]: Simplify (* 1 1) into 1 18.883 * [backup-simplify]: Simplify (* 1 1) into 1 18.883 * [backup-simplify]: Simplify 1 into 1 18.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.884 * [backup-simplify]: Simplify 0 into 0 18.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 18.885 * [backup-simplify]: Simplify (+ 0 1) into 1 18.886 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.886 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.887 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.887 * [backup-simplify]: Simplify 3/2 into 3/2 18.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 18.888 * [backup-simplify]: Simplify (+ 0 0) into 0 18.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 18.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 18.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 18.891 * [backup-simplify]: Simplify 0 into 0 18.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.892 * [backup-simplify]: Simplify (+ 0 0) into 0 18.893 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 18.894 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 18.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 18.895 * [backup-simplify]: Simplify 3/8 into 3/8 18.895 * [backup-simplify]: Simplify (+ (* 3/8 (pow x 4)) (+ (* 3/2 (pow x 2)) 1)) into (+ (* 3/2 (pow x 2)) (+ (* 3/8 (pow x 4)) 1)) 18.895 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 x)) (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x)))) into (pow (hypot 1 (/ 1 x)) 3) 18.896 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in (x) around 0 18.896 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 18.896 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 18.896 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 18.896 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 18.896 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.896 * [taylor]: Taking taylor expansion of 1 in x 18.896 * [backup-simplify]: Simplify 1 into 1 18.896 * [taylor]: Taking taylor expansion of 1 in x 18.896 * [backup-simplify]: Simplify 1 into 1 18.896 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 18.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.896 * [taylor]: Taking taylor expansion of x in x 18.896 * [backup-simplify]: Simplify 0 into 0 18.896 * [backup-simplify]: Simplify 1 into 1 18.896 * [backup-simplify]: Simplify (/ 1 1) into 1 18.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.896 * [taylor]: Taking taylor expansion of x in x 18.896 * [backup-simplify]: Simplify 0 into 0 18.896 * [backup-simplify]: Simplify 1 into 1 18.896 * [backup-simplify]: Simplify (/ 1 1) into 1 18.897 * [backup-simplify]: Simplify (* 1 1) into 1 18.897 * [backup-simplify]: Simplify (+ 0 1) into 1 18.897 * [backup-simplify]: Simplify (sqrt 1) into 1 18.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.899 * [backup-simplify]: Simplify (+ 0 0) into 0 18.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.899 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 18.899 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 18.899 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 18.899 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 18.899 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.899 * [taylor]: Taking taylor expansion of 1 in x 18.899 * [backup-simplify]: Simplify 1 into 1 18.899 * [taylor]: Taking taylor expansion of 1 in x 18.899 * [backup-simplify]: Simplify 1 into 1 18.899 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 18.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.899 * [taylor]: Taking taylor expansion of x in x 18.899 * [backup-simplify]: Simplify 0 into 0 18.899 * [backup-simplify]: Simplify 1 into 1 18.900 * [backup-simplify]: Simplify (/ 1 1) into 1 18.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.900 * [taylor]: Taking taylor expansion of x in x 18.900 * [backup-simplify]: Simplify 0 into 0 18.900 * [backup-simplify]: Simplify 1 into 1 18.900 * [backup-simplify]: Simplify (/ 1 1) into 1 18.900 * [backup-simplify]: Simplify (* 1 1) into 1 18.900 * [backup-simplify]: Simplify (+ 0 1) into 1 18.901 * [backup-simplify]: Simplify (sqrt 1) into 1 18.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.902 * [backup-simplify]: Simplify (+ 0 0) into 0 18.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.903 * [backup-simplify]: Simplify (* 1 1) into 1 18.903 * [backup-simplify]: Simplify (* 1 1) into 1 18.903 * [backup-simplify]: Simplify 1 into 1 18.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.904 * [backup-simplify]: Simplify 0 into 0 18.904 * [backup-simplify]: Simplify (* 1 1) into 1 18.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.906 * [backup-simplify]: Simplify (+ 1 0) into 1 18.907 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.908 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.908 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.908 * [backup-simplify]: Simplify 3/2 into 3/2 18.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.911 * [backup-simplify]: Simplify (+ 0 0) into 0 18.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 18.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 18.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 18.914 * [backup-simplify]: Simplify 0 into 0 18.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.918 * [backup-simplify]: Simplify (+ 0 0) into 0 18.919 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 18.921 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 18.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 18.923 * [backup-simplify]: Simplify 3/8 into 3/8 18.923 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 x)) (+ (* 3/2 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 3)))) into (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x)))) 18.923 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 (- x))) (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x))))) into (pow (hypot 1 (/ -1 x)) 3) 18.923 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in (x) around 0 18.923 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 18.923 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 18.924 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 18.924 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 18.924 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.924 * [taylor]: Taking taylor expansion of 1 in x 18.924 * [backup-simplify]: Simplify 1 into 1 18.924 * [taylor]: Taking taylor expansion of 1 in x 18.924 * [backup-simplify]: Simplify 1 into 1 18.924 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 18.924 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.924 * [taylor]: Taking taylor expansion of -1 in x 18.924 * [backup-simplify]: Simplify -1 into -1 18.924 * [taylor]: Taking taylor expansion of x in x 18.924 * [backup-simplify]: Simplify 0 into 0 18.924 * [backup-simplify]: Simplify 1 into 1 18.924 * [backup-simplify]: Simplify (/ -1 1) into -1 18.924 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.924 * [taylor]: Taking taylor expansion of -1 in x 18.924 * [backup-simplify]: Simplify -1 into -1 18.924 * [taylor]: Taking taylor expansion of x in x 18.924 * [backup-simplify]: Simplify 0 into 0 18.924 * [backup-simplify]: Simplify 1 into 1 18.925 * [backup-simplify]: Simplify (/ -1 1) into -1 18.925 * [backup-simplify]: Simplify (* -1 -1) into 1 18.926 * [backup-simplify]: Simplify (+ 0 1) into 1 18.926 * [backup-simplify]: Simplify (sqrt 1) into 1 18.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.928 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 18.929 * [backup-simplify]: Simplify (+ 0 0) into 0 18.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.929 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 18.929 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 18.929 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 18.930 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 18.930 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.930 * [taylor]: Taking taylor expansion of 1 in x 18.930 * [backup-simplify]: Simplify 1 into 1 18.930 * [taylor]: Taking taylor expansion of 1 in x 18.930 * [backup-simplify]: Simplify 1 into 1 18.930 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 18.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.930 * [taylor]: Taking taylor expansion of -1 in x 18.930 * [backup-simplify]: Simplify -1 into -1 18.930 * [taylor]: Taking taylor expansion of x in x 18.930 * [backup-simplify]: Simplify 0 into 0 18.930 * [backup-simplify]: Simplify 1 into 1 18.930 * [backup-simplify]: Simplify (/ -1 1) into -1 18.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.930 * [taylor]: Taking taylor expansion of -1 in x 18.930 * [backup-simplify]: Simplify -1 into -1 18.930 * [taylor]: Taking taylor expansion of x in x 18.930 * [backup-simplify]: Simplify 0 into 0 18.930 * [backup-simplify]: Simplify 1 into 1 18.931 * [backup-simplify]: Simplify (/ -1 1) into -1 18.931 * [backup-simplify]: Simplify (* -1 -1) into 1 18.932 * [backup-simplify]: Simplify (+ 0 1) into 1 18.932 * [backup-simplify]: Simplify (sqrt 1) into 1 18.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.935 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 18.935 * [backup-simplify]: Simplify (+ 0 0) into 0 18.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.936 * [backup-simplify]: Simplify (* 1 1) into 1 18.936 * [backup-simplify]: Simplify (* 1 1) into 1 18.937 * [backup-simplify]: Simplify 1 into 1 18.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.938 * [backup-simplify]: Simplify 0 into 0 18.938 * [backup-simplify]: Simplify (* 1 1) into 1 18.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 18.941 * [backup-simplify]: Simplify (+ 1 0) into 1 18.942 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.943 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 18.944 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 18.944 * [backup-simplify]: Simplify 3/2 into 3/2 18.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 18.949 * [backup-simplify]: Simplify (+ 0 0) into 0 18.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 18.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 18.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 18.952 * [backup-simplify]: Simplify 0 into 0 18.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 18.957 * [backup-simplify]: Simplify (+ 0 0) into 0 18.959 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 18.961 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 18.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 18.962 * [backup-simplify]: Simplify 3/8 into 3/8 18.963 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 (- x))) (+ (* 3/2 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 3)))) into (- (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x))))) 18.963 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 18.963 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 18.963 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 18.963 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 18.963 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 18.963 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 18.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 18.963 * [taylor]: Taking taylor expansion of 1/2 in x 18.963 * [backup-simplify]: Simplify 1/2 into 1/2 18.963 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 18.963 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.963 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 18.963 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 18.964 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.964 * [taylor]: Taking taylor expansion of 1 in x 18.964 * [backup-simplify]: Simplify 1 into 1 18.964 * [taylor]: Taking taylor expansion of 1 in x 18.964 * [backup-simplify]: Simplify 1 into 1 18.964 * [taylor]: Taking taylor expansion of (* x x) in x 18.964 * [taylor]: Taking taylor expansion of x in x 18.964 * [backup-simplify]: Simplify 0 into 0 18.964 * [backup-simplify]: Simplify 1 into 1 18.964 * [taylor]: Taking taylor expansion of x in x 18.964 * [backup-simplify]: Simplify 0 into 0 18.964 * [backup-simplify]: Simplify 1 into 1 18.964 * [backup-simplify]: Simplify (* 1 1) into 1 18.965 * [backup-simplify]: Simplify (* 0 0) into 0 18.965 * [backup-simplify]: Simplify (+ 1 0) into 1 18.966 * [backup-simplify]: Simplify (sqrt 1) into 1 18.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.967 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.967 * [backup-simplify]: Simplify (+ 0 0) into 0 18.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.969 * [backup-simplify]: Simplify (/ 1 1) into 1 18.969 * [taylor]: Taking taylor expansion of 1/2 in x 18.969 * [backup-simplify]: Simplify 1/2 into 1/2 18.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 18.969 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 18.970 * [backup-simplify]: Simplify (sqrt 1) into 1 18.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 18.972 * [backup-simplify]: Simplify (+ 0 0) into 0 18.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.973 * [taylor]: Taking taylor expansion of 1 in x 18.973 * [backup-simplify]: Simplify 1 into 1 18.973 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 18.973 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 18.973 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 18.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 18.973 * [taylor]: Taking taylor expansion of 1/2 in x 18.973 * [backup-simplify]: Simplify 1/2 into 1/2 18.973 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 18.973 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 18.973 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 18.973 * [taylor]: Taking taylor expansion of (* 1 1) in x 18.973 * [taylor]: Taking taylor expansion of 1 in x 18.973 * [backup-simplify]: Simplify 1 into 1 18.973 * [taylor]: Taking taylor expansion of 1 in x 18.973 * [backup-simplify]: Simplify 1 into 1 18.973 * [taylor]: Taking taylor expansion of (* x x) in x 18.973 * [taylor]: Taking taylor expansion of x in x 18.973 * [backup-simplify]: Simplify 0 into 0 18.974 * [backup-simplify]: Simplify 1 into 1 18.974 * [taylor]: Taking taylor expansion of x in x 18.974 * [backup-simplify]: Simplify 0 into 0 18.974 * [backup-simplify]: Simplify 1 into 1 18.974 * [backup-simplify]: Simplify (* 1 1) into 1 18.974 * [backup-simplify]: Simplify (* 0 0) into 0 18.975 * [backup-simplify]: Simplify (+ 1 0) into 1 18.975 * [backup-simplify]: Simplify (sqrt 1) into 1 18.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.977 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 18.977 * [backup-simplify]: Simplify (+ 0 0) into 0 18.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.978 * [backup-simplify]: Simplify (/ 1 1) into 1 18.978 * [taylor]: Taking taylor expansion of 1/2 in x 18.978 * [backup-simplify]: Simplify 1/2 into 1/2 18.978 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 18.979 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 18.979 * [backup-simplify]: Simplify (sqrt 1) into 1 18.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 18.981 * [backup-simplify]: Simplify (+ 0 0) into 0 18.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 18.982 * [taylor]: Taking taylor expansion of 1 in x 18.982 * [backup-simplify]: Simplify 1 into 1 18.982 * [backup-simplify]: Simplify (+ 1 1) into 2 18.982 * [backup-simplify]: Simplify 2 into 2 18.983 * [backup-simplify]: Simplify (+ 0 0) into 0 18.983 * [backup-simplify]: Simplify 0 into 0 18.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 18.985 * [backup-simplify]: Simplify (+ 0 1) into 1 18.986 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 18.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 18.988 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 18.989 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 18.990 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 18.990 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 18.990 * [backup-simplify]: Simplify -1/8 into -1/8 18.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 18.993 * [backup-simplify]: Simplify (+ 0 0) into 0 18.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 18.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 18.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 18.997 * [backup-simplify]: Simplify (+ 0 0) into 0 18.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 18.999 * [backup-simplify]: Simplify (+ 0 0) into 0 18.999 * [backup-simplify]: Simplify 0 into 0 19.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.003 * [backup-simplify]: Simplify (+ 0 0) into 0 19.005 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 19.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 19.008 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 19.009 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 19.010 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 19.011 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 19.011 * [backup-simplify]: Simplify 11/128 into 11/128 19.011 * [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))) 19.011 * [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) 19.011 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 19.011 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 19.011 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.011 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.011 * [taylor]: Taking taylor expansion of 1/2 in x 19.011 * [backup-simplify]: Simplify 1/2 into 1/2 19.011 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.011 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.011 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.011 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.011 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.011 * [taylor]: Taking taylor expansion of 1 in x 19.012 * [backup-simplify]: Simplify 1 into 1 19.012 * [taylor]: Taking taylor expansion of 1 in x 19.012 * [backup-simplify]: Simplify 1 into 1 19.012 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.012 * [taylor]: Taking taylor expansion of x in x 19.012 * [backup-simplify]: Simplify 0 into 0 19.012 * [backup-simplify]: Simplify 1 into 1 19.012 * [backup-simplify]: Simplify (/ 1 1) into 1 19.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.012 * [taylor]: Taking taylor expansion of x in x 19.012 * [backup-simplify]: Simplify 0 into 0 19.012 * [backup-simplify]: Simplify 1 into 1 19.013 * [backup-simplify]: Simplify (/ 1 1) into 1 19.013 * [backup-simplify]: Simplify (* 1 1) into 1 19.013 * [backup-simplify]: Simplify (+ 0 1) into 1 19.014 * [backup-simplify]: Simplify (sqrt 1) into 1 19.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.016 * [backup-simplify]: Simplify (+ 0 0) into 0 19.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.017 * [backup-simplify]: Simplify (/ 1 1) into 1 19.017 * [taylor]: Taking taylor expansion of 1/2 in x 19.017 * [backup-simplify]: Simplify 1/2 into 1/2 19.018 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.018 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 19.019 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.019 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.021 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 19.021 * [taylor]: Taking taylor expansion of 1 in x 19.021 * [backup-simplify]: Simplify 1 into 1 19.021 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 19.021 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.021 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.021 * [taylor]: Taking taylor expansion of 1/2 in x 19.021 * [backup-simplify]: Simplify 1/2 into 1/2 19.021 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.021 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.021 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.021 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.021 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.021 * [taylor]: Taking taylor expansion of 1 in x 19.021 * [backup-simplify]: Simplify 1 into 1 19.021 * [taylor]: Taking taylor expansion of 1 in x 19.021 * [backup-simplify]: Simplify 1 into 1 19.021 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.021 * [taylor]: Taking taylor expansion of x in x 19.021 * [backup-simplify]: Simplify 0 into 0 19.021 * [backup-simplify]: Simplify 1 into 1 19.022 * [backup-simplify]: Simplify (/ 1 1) into 1 19.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.022 * [taylor]: Taking taylor expansion of x in x 19.022 * [backup-simplify]: Simplify 0 into 0 19.022 * [backup-simplify]: Simplify 1 into 1 19.022 * [backup-simplify]: Simplify (/ 1 1) into 1 19.022 * [backup-simplify]: Simplify (* 1 1) into 1 19.023 * [backup-simplify]: Simplify (+ 0 1) into 1 19.023 * [backup-simplify]: Simplify (sqrt 1) into 1 19.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.026 * [backup-simplify]: Simplify (+ 0 0) into 0 19.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.027 * [backup-simplify]: Simplify (/ 1 1) into 1 19.027 * [taylor]: Taking taylor expansion of 1/2 in x 19.027 * [backup-simplify]: Simplify 1/2 into 1/2 19.027 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.028 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 19.028 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.028 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.030 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 19.030 * [taylor]: Taking taylor expansion of 1 in x 19.030 * [backup-simplify]: Simplify 1 into 1 19.031 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 19.032 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 19.034 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 19.035 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 19.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.037 * [backup-simplify]: Simplify (+ 0 0) into 0 19.043 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 19.046 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 19.050 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 19.056 * [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))))) 19.056 * [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) 19.056 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 19.056 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 19.056 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 19.057 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.057 * [taylor]: Taking taylor expansion of 1/2 in x 19.057 * [backup-simplify]: Simplify 1/2 into 1/2 19.057 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.057 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.057 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 19.057 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 19.057 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.057 * [taylor]: Taking taylor expansion of 1 in x 19.057 * [backup-simplify]: Simplify 1 into 1 19.057 * [taylor]: Taking taylor expansion of 1 in x 19.057 * [backup-simplify]: Simplify 1 into 1 19.057 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.057 * [taylor]: Taking taylor expansion of -1 in x 19.057 * [backup-simplify]: Simplify -1 into -1 19.057 * [taylor]: Taking taylor expansion of x in x 19.057 * [backup-simplify]: Simplify 0 into 0 19.057 * [backup-simplify]: Simplify 1 into 1 19.058 * [backup-simplify]: Simplify (/ -1 1) into -1 19.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.058 * [taylor]: Taking taylor expansion of -1 in x 19.058 * [backup-simplify]: Simplify -1 into -1 19.058 * [taylor]: Taking taylor expansion of x in x 19.058 * [backup-simplify]: Simplify 0 into 0 19.058 * [backup-simplify]: Simplify 1 into 1 19.058 * [backup-simplify]: Simplify (/ -1 1) into -1 19.059 * [backup-simplify]: Simplify (* -1 -1) into 1 19.059 * [backup-simplify]: Simplify (+ 0 1) into 1 19.060 * [backup-simplify]: Simplify (sqrt 1) into 1 19.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.062 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 19.063 * [backup-simplify]: Simplify (+ 0 0) into 0 19.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.064 * [backup-simplify]: Simplify (/ 1 1) into 1 19.064 * [taylor]: Taking taylor expansion of 1/2 in x 19.064 * [backup-simplify]: Simplify 1/2 into 1/2 19.065 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.065 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 19.065 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.066 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.068 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 19.068 * [taylor]: Taking taylor expansion of 1 in x 19.068 * [backup-simplify]: Simplify 1 into 1 19.068 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 19.068 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 19.068 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.068 * [taylor]: Taking taylor expansion of 1/2 in x 19.068 * [backup-simplify]: Simplify 1/2 into 1/2 19.068 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.068 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 19.068 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 19.068 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.068 * [taylor]: Taking taylor expansion of 1 in x 19.068 * [backup-simplify]: Simplify 1 into 1 19.068 * [taylor]: Taking taylor expansion of 1 in x 19.068 * [backup-simplify]: Simplify 1 into 1 19.068 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.068 * [taylor]: Taking taylor expansion of -1 in x 19.068 * [backup-simplify]: Simplify -1 into -1 19.068 * [taylor]: Taking taylor expansion of x in x 19.068 * [backup-simplify]: Simplify 0 into 0 19.068 * [backup-simplify]: Simplify 1 into 1 19.069 * [backup-simplify]: Simplify (/ -1 1) into -1 19.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.069 * [taylor]: Taking taylor expansion of -1 in x 19.069 * [backup-simplify]: Simplify -1 into -1 19.069 * [taylor]: Taking taylor expansion of x in x 19.069 * [backup-simplify]: Simplify 0 into 0 19.069 * [backup-simplify]: Simplify 1 into 1 19.069 * [backup-simplify]: Simplify (/ -1 1) into -1 19.070 * [backup-simplify]: Simplify (* -1 -1) into 1 19.070 * [backup-simplify]: Simplify (+ 0 1) into 1 19.071 * [backup-simplify]: Simplify (sqrt 1) into 1 19.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.073 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 19.074 * [backup-simplify]: Simplify (+ 0 0) into 0 19.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.075 * [backup-simplify]: Simplify (/ 1 1) into 1 19.075 * [taylor]: Taking taylor expansion of 1/2 in x 19.075 * [backup-simplify]: Simplify 1/2 into 1/2 19.075 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.076 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 19.076 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.077 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.078 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 19.078 * [taylor]: Taking taylor expansion of 1 in x 19.079 * [backup-simplify]: Simplify 1 into 1 19.080 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 19.081 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 19.082 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 19.084 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 19.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.086 * [backup-simplify]: Simplify (+ 0 0) into 0 19.090 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 19.091 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 19.094 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 19.097 * [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)))))) 19.098 * * * [progress]: simplifying candidates 19.098 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 19.098 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 19.099 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #real (real->posit16 (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 19.100 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 46 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 19.100 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 58 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #real (real->posit16 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 19.101 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 76 / 127 ] simplifiying candidate # 19.101 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 93 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #real (real->posit16 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 19.102 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 19.102 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 19.103 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))> 19.103 * * * * [progress]: [ 115 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 19.104 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 19.106 * [simplify]: Simplifying: (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))))) (fma (- (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))))) (fma (- (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x))))) (fma (- (/ (cbrt 1/8) (* (hypot 1 x) (hypot 1 x)))) (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) (* (/ (cbrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (sqrt 1/8) (hypot 1 x))))) (fma (- (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))) (/ (sqrt 1/8) (hypot 1 x)) (* (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (sqrt 1/8) (hypot 1 x)))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (/ 1 (hypot 1 x))))) (fma (- (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (/ 1 (hypot 1 x)) (* (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (/ 1 (hypot 1 x)))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1))) (fma (- (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 1 (* (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1)) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1/8))) (fma (- (/ 1 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 1/8 (* (/ 1 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1/8)) (fma (sqrt 1/8) (sqrt 1/8) (- (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))))) (fma (- (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (cbrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))))) (fma (sqrt 1/8) (sqrt 1/8) (- (* (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))))) (fma (- (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (cbrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x))))) (fma (- (/ (cbrt 1/8) (* (hypot 1 x) (hypot 1 x)))) (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) (* (/ (cbrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)))) (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (sqrt 1/8) (hypot 1 x))))) (fma (- (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))) (/ (sqrt 1/8) (hypot 1 x)) (* (/ (sqrt 1/8) 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(/ 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)))))) 19.109 * * [simplify]: iteration 1: (246 enodes) 19.288 * * [simplify]: iteration 2: (621 enodes) 19.948 * * [simplify]: iteration 3: (1853 enodes) 23.431 * * [simplify]: Extracting #0: cost 85 inf + 0 23.433 * * [simplify]: Extracting #1: cost 733 inf + 2 23.441 * * [simplify]: Extracting #2: cost 1655 inf + 3599 23.483 * * [simplify]: Extracting #3: cost 1057 inf + 115658 23.582 * * [simplify]: Extracting #4: cost 193 inf + 336724 23.726 * * [simplify]: Extracting #5: cost 36 inf + 390261 23.819 * * [simplify]: Extracting #6: cost 3 inf + 400419 23.938 * * [simplify]: Extracting #7: cost 0 inf + 401221 24.086 * [simplify]: Simplified to: (fma (cbrt 1/8) (* (cbrt 1/8) (cbrt 1/8)) (/ (/ -1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (* (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) 0) (fma (cbrt 1/8) (* (cbrt 1/8) (cbrt 1/8)) (/ (/ -1/8 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(real->posit16 (* (* (hypot 1 x) (hypot 1 x)) (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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (+ (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1/2 (/ 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 35/128 (* (* x (* x x)) (* x (* x x))) (* (* x x) (- 3/16 (* (* x x) 15/64)))) (+ 1/8 (- (/ 3/16 (pow x 5)) (/ 1/8 (* x (* x x))))) (- 1/8 (- (/ 3/16 (pow x 5)) (/ 1/8 (* x (* x x))))) (fma -3/16 (* x x) (fma 15/64 (* (* x x) (* x x)) 1/8)) (+ (+ (/ -3/16 (pow x 5)) (/ 15/64 (pow x 7))) (/ 1/8 (* x (* x x)))) (- (- (/ 3/16 (pow x 5)) (/ 1/8 (* x (* x x)))) (/ 15/64 (pow x 7))) (fma (* x x) (* 3/8 (* x x)) (fma 3/2 (* x x) 1)) (fma x (+ (* x x) 3/2) (/ 3/8 x)) (- (* -3/2 x) (fma x (* x x) (/ 3/8 x))) (fma (* x x) -1/8 (fma 11/128 (* (* x x) (* x x)) 2)) (+ (sqrt 1/2) (- (+ 1 (/ (/ 1/4 x) (sqrt 1/2))) (/ 1/16 (* (sqrt 1/2) (* x x))))) (- (- 1 (/ 1/16 (* (sqrt 1/2) (* x x)))) (- (/ (/ 1/4 x) (sqrt 1/2)) (sqrt 1/2))) 24.117 * * * [progress]: adding candidates to table 25.624 * [progress]: [Phase 3 of 3] Extracting. 25.625 * * [regime]: Finding splitpoints for: (# # #) 25.625 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 25.625 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 25.655 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 25.676 * * * * [regimes]: Trying to branch on x from (# # #) 25.711 * * * [regime]: Found split indices: #