59.824 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.098 * * * [progress]: [2/2] Setting up program. 0.103 * [progress]: [Phase 2 of 3] Improving. 0.103 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.103 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.103 * * [simplify]: iteration 1: (9 enodes) 0.108 * * [simplify]: iteration 2: (21 enodes) 0.113 * * [simplify]: iteration 3: (25 enodes) 0.119 * * [simplify]: iteration 4: (27 enodes) 0.123 * * [simplify]: Extracting #0: cost 1 inf + 0 0.123 * * [simplify]: Extracting #1: cost 4 inf + 0 0.123 * * [simplify]: Extracting #2: cost 4 inf + 1 0.123 * * [simplify]: Extracting #3: cost 8 inf + 1 0.123 * * [simplify]: Extracting #4: cost 8 inf + 2 0.123 * * [simplify]: Extracting #5: cost 9 inf + 2 0.123 * * [simplify]: Extracting #6: cost 8 inf + 3 0.123 * * [simplify]: Extracting #7: cost 1 inf + 971 0.123 * * [simplify]: Extracting #8: cost 0 inf + 1159 0.123 * * [simplify]: Extracting #9: cost 0 inf + 1144 0.124 * [simplify]: Simplified to: (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.129 * * [progress]: iteration 1 / 4 0.129 * * * [progress]: picking best candidate 0.131 * * * * [pick]: Picked # 0.131 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.218 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 0.241 * * * [progress]: generating series expansions 0.241 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.241 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.241 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.241 * [taylor]: Taking taylor expansion of 1/2 in x 0.241 * [backup-simplify]: Simplify 1/2 into 1/2 0.241 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.241 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.241 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.241 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (* x x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (* 0 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (sqrt 1) into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of 1/2 in x 0.245 * [backup-simplify]: Simplify 1/2 into 1/2 0.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.245 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.246 * [backup-simplify]: Simplify (sqrt 1) into 1 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.247 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.247 * [taylor]: Taking taylor expansion of 1 in x 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.247 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of 1/2 in x 0.247 * [backup-simplify]: Simplify 1/2 into 1/2 0.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.248 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.248 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.248 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.248 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (* x x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (* 0 0) into 0 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (sqrt 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of 1/2 in x 0.250 * [backup-simplify]: Simplify 1/2 into 1/2 0.251 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.251 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.251 * [backup-simplify]: Simplify (sqrt 1) into 1 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.253 * [backup-simplify]: Simplify (- 1) into -1 0.253 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.257 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.258 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.259 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.259 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.259 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.260 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.260 * [backup-simplify]: Simplify 1/8 into 1/8 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [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 0.270 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.280 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.281 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.283 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.283 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.283 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.283 * [backup-simplify]: Simplify -11/128 into -11/128 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.299 * [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 0.300 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.301 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.302 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.302 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.302 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.302 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.303 * [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))) 0.303 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.303 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 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 0.303 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.303 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of (* 1 1) 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 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [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 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (+ 0 1) into 1 0.304 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of 1/2 in x 0.307 * [backup-simplify]: Simplify 1/2 into 1/2 0.307 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.307 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.307 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.308 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.309 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.309 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.309 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.309 * [taylor]: Taking taylor expansion of 1/2 in x 0.309 * [backup-simplify]: Simplify 1/2 into 1/2 0.309 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.309 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.309 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ 0 1) into 1 0.310 * [backup-simplify]: Simplify (sqrt 1) into 1 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.313 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.314 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.314 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.315 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.315 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.316 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.317 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.318 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.320 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.321 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.331 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.335 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.338 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.344 * [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))) 0.344 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.344 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.344 * [taylor]: Taking taylor expansion of 1 in x 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.344 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.344 * [taylor]: Taking taylor expansion of 1/2 in x 0.344 * [backup-simplify]: Simplify 1/2 into 1/2 0.344 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.344 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.344 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.345 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.345 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [backup-simplify]: Simplify -1 into -1 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ -1 1) into -1 0.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.345 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [backup-simplify]: Simplify -1 into -1 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ -1 1) into -1 0.346 * [backup-simplify]: Simplify (* -1 -1) into 1 0.347 * [backup-simplify]: Simplify (+ 0 1) into 1 0.347 * [backup-simplify]: Simplify (sqrt 1) into 1 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of 1/2 in x 0.351 * [backup-simplify]: Simplify 1/2 into 1/2 0.351 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.352 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.352 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.353 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.354 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.354 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.354 * [taylor]: Taking taylor expansion of 1 in x 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.354 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.354 * [taylor]: Taking taylor expansion of 1/2 in x 0.354 * [backup-simplify]: Simplify 1/2 into 1/2 0.354 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.355 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.355 * [taylor]: Taking taylor expansion of 1 in x 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of 1 in x 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [backup-simplify]: Simplify -1 into -1 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ -1 1) into -1 0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [backup-simplify]: Simplify -1 into -1 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ -1 1) into -1 0.356 * [backup-simplify]: Simplify (* -1 -1) into 1 0.357 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [backup-simplify]: Simplify (sqrt 1) into 1 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of 1/2 in x 0.361 * [backup-simplify]: Simplify 1/2 into 1/2 0.361 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.362 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.362 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.362 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.364 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.365 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.366 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.367 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.369 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.373 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.375 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.385 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.389 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.392 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.398 * [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)) 0.398 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.398 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.398 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of 1/2 in x 0.398 * [backup-simplify]: Simplify 1/2 into 1/2 0.398 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.399 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.399 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.399 * [taylor]: Taking taylor expansion of 1 in x 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of 1 in x 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (* x x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.400 * [backup-simplify]: Simplify (* 0 0) into 0 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.401 * [backup-simplify]: Simplify (sqrt 1) into 1 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.410 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.410 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of 1/2 in x 0.410 * [backup-simplify]: Simplify 1/2 into 1/2 0.410 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.410 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.410 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.410 * [taylor]: Taking taylor expansion of 1 in x 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of 1 in x 0.410 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (* x x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (* 0 0) into 0 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (sqrt 1) into 1 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.415 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.415 * [backup-simplify]: Simplify 1/2 into 1/2 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.419 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.421 * [backup-simplify]: Simplify -1/4 into -1/4 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.433 * [backup-simplify]: Simplify 3/16 into 3/16 0.434 * [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))) 0.434 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.434 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of 1/2 in x 0.434 * [backup-simplify]: Simplify 1/2 into 1/2 0.434 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.434 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.434 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.436 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [backup-simplify]: Simplify (sqrt 1) into 1 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.441 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.441 * [taylor]: Taking taylor expansion of 1/2 in x 0.441 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.441 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.446 * [backup-simplify]: Simplify 1/2 into 1/2 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.450 * [backup-simplify]: Simplify -1/4 into -1/4 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.459 * [backup-simplify]: Simplify 3/16 into 3/16 0.459 * [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)))) 0.459 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.459 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.459 * [taylor]: Taking taylor expansion of 1/2 in x 0.459 * [backup-simplify]: Simplify 1/2 into 1/2 0.459 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.459 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.459 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.459 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.459 * [taylor]: Taking taylor expansion of 1 in x 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of 1 in x 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.459 * [taylor]: Taking taylor expansion of -1 in x 0.459 * [backup-simplify]: Simplify -1 into -1 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ -1 1) into -1 0.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ -1 1) into -1 0.460 * [backup-simplify]: Simplify (* -1 -1) into 1 0.461 * [backup-simplify]: Simplify (+ 0 1) into 1 0.461 * [backup-simplify]: Simplify (sqrt 1) into 1 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.463 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.463 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.463 * [taylor]: Taking taylor expansion of 1/2 in x 0.463 * [backup-simplify]: Simplify 1/2 into 1/2 0.463 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.463 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.463 * [taylor]: Taking taylor expansion of 1 in x 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of 1 in x 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.463 * [taylor]: Taking taylor expansion of -1 in x 0.463 * [backup-simplify]: Simplify -1 into -1 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ -1 1) into -1 0.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.464 * [taylor]: Taking taylor expansion of -1 in x 0.464 * [backup-simplify]: Simplify -1 into -1 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ -1 1) into -1 0.464 * [backup-simplify]: Simplify (* -1 -1) into 1 0.465 * [backup-simplify]: Simplify (+ 0 1) into 1 0.465 * [backup-simplify]: Simplify (sqrt 1) into 1 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.467 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.467 * [backup-simplify]: Simplify 1/2 into 1/2 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.470 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.471 * [backup-simplify]: Simplify -1/4 into -1/4 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.479 * [backup-simplify]: Simplify 3/16 into 3/16 0.480 * [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)))) 0.480 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.480 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.480 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.480 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of 1/2 in x 0.480 * [backup-simplify]: Simplify 1/2 into 1/2 0.480 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.480 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.480 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of (* x x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (* 0 0) into 0 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (sqrt 1) into 1 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of 1/2 in x 0.483 * [backup-simplify]: Simplify 1/2 into 1/2 0.483 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.483 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.484 * [backup-simplify]: Simplify (sqrt 1) into 1 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.485 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1/2 in x 0.485 * [backup-simplify]: Simplify 1/2 into 1/2 0.485 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.485 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.485 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (* x x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* 1 1) into 1 0.486 * [backup-simplify]: Simplify (* 0 0) into 0 0.486 * [backup-simplify]: Simplify (+ 1 0) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [taylor]: Taking taylor expansion of 1/2 in x 0.488 * [backup-simplify]: Simplify 1/2 into 1/2 0.488 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.489 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.489 * [backup-simplify]: Simplify (sqrt 1) into 1 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.492 * [backup-simplify]: Simplify (+ 0 1) into 1 0.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.493 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.494 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.494 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.494 * [backup-simplify]: Simplify -1/8 into -1/8 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.503 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.504 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.504 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.504 * [backup-simplify]: Simplify 11/128 into 11/128 0.505 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 0.505 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.505 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.505 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.505 * [taylor]: Taking taylor expansion of 1/2 in x 0.505 * [backup-simplify]: Simplify 1/2 into 1/2 0.505 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.505 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.505 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.505 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.505 * [taylor]: Taking taylor expansion of 1 in x 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of 1 in x 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (+ 0 1) into 1 0.508 * [backup-simplify]: Simplify (sqrt 1) into 1 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of 1/2 in x 0.516 * [backup-simplify]: Simplify 1/2 into 1/2 0.516 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.516 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.516 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.517 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.518 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.518 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.518 * [taylor]: Taking taylor expansion of 1/2 in x 0.518 * [backup-simplify]: Simplify 1/2 into 1/2 0.518 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.518 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.518 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.518 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.518 * [taylor]: Taking taylor expansion of 1 in x 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of 1 in x 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.519 * [backup-simplify]: Simplify (+ 0 1) into 1 0.519 * [backup-simplify]: Simplify (sqrt 1) into 1 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [taylor]: Taking taylor expansion of 1/2 in x 0.521 * [backup-simplify]: Simplify 1/2 into 1/2 0.522 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.522 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.522 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.522 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.523 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.524 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.524 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.529 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.531 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 0.531 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.531 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.531 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.531 * [taylor]: Taking taylor expansion of 1/2 in x 0.531 * [backup-simplify]: Simplify 1/2 into 1/2 0.531 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.531 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.531 * [backup-simplify]: Simplify -1 into -1 0.532 * [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 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.532 * [taylor]: Taking taylor expansion of -1 in x 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ -1 1) into -1 0.532 * [backup-simplify]: Simplify (* -1 -1) into 1 0.533 * [backup-simplify]: Simplify (+ 0 1) into 1 0.533 * [backup-simplify]: Simplify (sqrt 1) into 1 0.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.535 * [taylor]: Taking taylor expansion of 1/2 in x 0.535 * [backup-simplify]: Simplify 1/2 into 1/2 0.535 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.536 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.536 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.536 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.537 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.537 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of 1/2 in x 0.537 * [backup-simplify]: Simplify 1/2 into 1/2 0.537 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.537 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.537 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.537 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.537 * [taylor]: Taking taylor expansion of -1 in x 0.537 * [backup-simplify]: Simplify -1 into -1 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ -1 1) into -1 0.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.538 * [taylor]: Taking taylor expansion of -1 in x 0.538 * [backup-simplify]: Simplify -1 into -1 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ -1 1) into -1 0.538 * [backup-simplify]: Simplify (* -1 -1) into 1 0.539 * [backup-simplify]: Simplify (+ 0 1) into 1 0.539 * [backup-simplify]: Simplify (sqrt 1) into 1 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of 1/2 in x 0.542 * [backup-simplify]: Simplify 1/2 into 1/2 0.542 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.542 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.542 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.543 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.544 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.544 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.544 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.549 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.552 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.552 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 0.552 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.552 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.552 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.552 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.552 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of (* x x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (* 0 0) into 0 0.553 * [backup-simplify]: Simplify (+ 1 0) into 1 0.553 * [backup-simplify]: Simplify (sqrt 1) into 1 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.555 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.555 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.555 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.555 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.555 * [taylor]: Taking taylor expansion of 1 in x 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [taylor]: Taking taylor expansion of 1 in x 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [taylor]: Taking taylor expansion of (* x 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 * [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 (* 0 0) into 0 0.556 * [backup-simplify]: Simplify (+ 1 0) into 1 0.556 * [backup-simplify]: Simplify (sqrt 1) into 1 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.557 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.559 * [backup-simplify]: Simplify (+ 0 1) into 1 0.559 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.559 * [backup-simplify]: Simplify 1/2 into 1/2 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.564 * [backup-simplify]: Simplify -1/8 into -1/8 0.564 * [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))) 0.564 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.564 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.564 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.564 * [taylor]: Taking taylor expansion of 1 in x 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [taylor]: Taking taylor expansion of 1 in x 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (+ 0 1) into 1 0.566 * [backup-simplify]: Simplify (sqrt 1) into 1 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.568 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.568 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.568 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.568 * [taylor]: Taking taylor expansion of 1 in x 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of 1 in x 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (+ 0 1) into 1 0.569 * [backup-simplify]: Simplify (sqrt 1) into 1 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.573 * [backup-simplify]: Simplify (+ 1 0) into 1 0.574 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.574 * [backup-simplify]: Simplify 1/2 into 1/2 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.580 * [backup-simplify]: Simplify -1/8 into -1/8 0.580 * [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)))) 0.580 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.580 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.580 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.580 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.580 * [taylor]: Taking taylor expansion of 1 in x 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [taylor]: Taking taylor expansion of 1 in x 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.580 * [taylor]: Taking taylor expansion of -1 in x 0.581 * [backup-simplify]: Simplify -1 into -1 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ -1 1) into -1 0.581 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.581 * [taylor]: Taking taylor expansion of -1 in x 0.581 * [backup-simplify]: Simplify -1 into -1 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ -1 1) into -1 0.581 * [backup-simplify]: Simplify (* -1 -1) into 1 0.582 * [backup-simplify]: Simplify (+ 0 1) into 1 0.582 * [backup-simplify]: Simplify (sqrt 1) into 1 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.584 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.584 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.584 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.584 * [taylor]: Taking taylor expansion of 1 in x 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of 1 in x 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [backup-simplify]: Simplify -1 into -1 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ -1 1) into -1 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ -1 1) into -1 0.585 * [backup-simplify]: Simplify (* -1 -1) into 1 0.585 * [backup-simplify]: Simplify (+ 0 1) into 1 0.586 * [backup-simplify]: Simplify (sqrt 1) into 1 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.590 * [backup-simplify]: Simplify (+ 1 0) into 1 0.591 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.591 * [backup-simplify]: Simplify 1/2 into 1/2 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.597 * [backup-simplify]: Simplify -1/8 into -1/8 0.597 * [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)))) 0.598 * * * [progress]: simplifying candidates 0.598 * * * * [progress]: [ 1 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 2 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 3 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 4 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 5 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 6 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 7 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 8 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 9 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 10 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 11 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 12 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 13 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 14 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 15 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 16 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 17 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 18 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 19 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 20 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 21 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 22 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 23 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 24 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 25 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 26 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 27 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 28 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 29 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 30 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 31 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 32 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 33 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 34 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 35 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 36 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 37 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 38 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 39 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 40 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 41 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 42 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 43 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 44 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 45 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 46 / 120 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.600 * * * * [progress]: [ 47 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 48 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 49 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 50 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 51 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 52 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 53 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 54 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 55 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 56 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 57 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 58 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 59 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 60 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 61 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 62 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 63 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 64 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 65 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 66 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 67 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 68 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 69 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 70 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 71 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 72 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 73 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 74 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 75 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 76 / 120 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 0.601 * * * * [progress]: [ 77 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 78 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 79 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 80 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 81 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 82 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 83 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 84 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 85 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 86 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 87 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 88 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 89 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 90 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 91 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 92 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 93 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 94 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 95 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 96 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 97 / 120 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.602 * * * * [progress]: [ 98 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 99 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 100 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 101 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 102 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 103 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 104 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 105 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 106 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 107 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 108 / 120 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))) 1/2))))> 0.602 * * * * [progress]: [ 109 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 110 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 111 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 112 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 113 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 114 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 115 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 116 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 117 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 118 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 119 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 120 / 120 ] simplifiying candidate # 0.608 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma 1 1 (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma 1 1 (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 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(+ (/ 1/2 (hypot 1 x)) 1/2)))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (- 1/2) (- (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (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)) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) (- (+ (* 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)))) 0.610 * * [simplify]: iteration 1: (212 enodes) 0.729 * * [simplify]: iteration 2: (478 enodes) 0.940 * * [simplify]: iteration 3: (1088 enodes) 1.926 * * [simplify]: Extracting #0: cost 92 inf + 0 1.927 * * [simplify]: Extracting #1: cost 356 inf + 44 1.929 * * [simplify]: Extracting #2: cost 611 inf + 1011 1.941 * * [simplify]: Extracting #3: cost 429 inf + 34522 1.957 * * [simplify]: Extracting #4: cost 269 inf + 69386 1.980 * * [simplify]: Extracting #5: cost 89 inf + 129457 2.012 * * [simplify]: Extracting #6: cost 3 inf + 162105 2.069 * * [simplify]: Extracting #7: cost 0 inf + 162913 2.131 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 0 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)) (sqrt (fma 1/2 (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* (* x x) 11/128)))) (- (+ (/ 1/32 (* (* x (* 1/2 x)) (sqrt 1/2))) (- 1 (sqrt 1/2))) (/ (/ 1/4 (sqrt 1/2)) x)) (+ (/ (/ 1/4 (sqrt 1/2)) x) (+ (/ 1/32 (* (* x (* 1/2 x)) (sqrt 1/2))) (- 1 (sqrt 1/2)))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (- (/ 1/2 x) (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5)))) (+ (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ -1/2 x)) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 1)) (+ (+ (/ (/ 1/4 (sqrt 1/2)) x) (/ -1/32 (* (* x (* 1/2 x)) (sqrt 1/2)))) (sqrt 1/2)) (+ (sqrt 1/2) (- (/ -1/32 (* (* x (* 1/2 x)) (sqrt 1/2))) (/ (/ 1/4 (sqrt 1/2)) x))) (fma (* (* x x) (* x x)) -1/8 (fma 1/2 (* x x) 1)) (- (+ (/ 1/2 x) x) (/ (/ 1/8 (* x x)) x)) (- (/ (/ 1/8 (* x x)) x) (+ (/ 1/2 x) x)) 2.147 * * * [progress]: adding candidates to table 3.255 * * [progress]: iteration 2 / 4 3.255 * * * [progress]: picking best candidate 3.279 * * * * [pick]: Picked # 3.279 * * * [progress]: localizing error 3.322 * * * [progress]: generating rewritten candidates 3.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.336 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.372 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 3.381 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.387 * * * [progress]: generating series expansions 3.387 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.387 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 3.387 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 3.387 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.387 * [taylor]: Taking taylor expansion of 1/2 in x 3.387 * [backup-simplify]: Simplify 1/2 into 1/2 3.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.387 * [taylor]: Taking taylor expansion of 1/2 in x 3.387 * [backup-simplify]: Simplify 1/2 into 1/2 3.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.387 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.388 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.388 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.388 * [taylor]: Taking taylor expansion of 1 in x 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [taylor]: Taking taylor expansion of 1 in x 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [taylor]: Taking taylor expansion of (* x x) in x 3.388 * [taylor]: Taking taylor expansion of x in x 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [taylor]: Taking taylor expansion of x in x 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.389 * [backup-simplify]: Simplify (* 0 0) into 0 3.389 * [backup-simplify]: Simplify (+ 1 0) into 1 3.390 * [backup-simplify]: Simplify (sqrt 1) into 1 3.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.390 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.391 * [backup-simplify]: Simplify (/ 1 1) into 1 3.391 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.391 * [taylor]: Taking taylor expansion of 1/2 in x 3.391 * [backup-simplify]: Simplify 1/2 into 1/2 3.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.391 * [taylor]: Taking taylor expansion of 1/2 in x 3.391 * [backup-simplify]: Simplify 1/2 into 1/2 3.391 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.391 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.391 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.391 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.391 * [taylor]: Taking taylor expansion of 1 in x 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [taylor]: Taking taylor expansion of 1 in x 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [taylor]: Taking taylor expansion of (* x x) in x 3.392 * [taylor]: Taking taylor expansion of x in x 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [taylor]: Taking taylor expansion of x in x 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (* 1 1) into 1 3.392 * [backup-simplify]: Simplify (* 0 0) into 0 3.392 * [backup-simplify]: Simplify (+ 1 0) into 1 3.393 * [backup-simplify]: Simplify (sqrt 1) into 1 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.394 * [backup-simplify]: Simplify (/ 1 1) into 1 3.395 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.395 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.395 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.396 * [backup-simplify]: Simplify (- 0) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.398 * [backup-simplify]: Simplify (+ 0 1) into 1 3.399 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.400 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.400 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.400 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.400 * [backup-simplify]: Simplify 1/4 into 1/4 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (- 0) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.409 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.409 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.409 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.409 * [backup-simplify]: Simplify -3/16 into -3/16 3.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.416 * [backup-simplify]: Simplify (- 0) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.420 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 3.427 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.428 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.428 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.428 * [backup-simplify]: Simplify 5/32 into 5/32 3.429 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 3.429 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 3.429 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.429 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.429 * [taylor]: Taking taylor expansion of 1/2 in x 3.429 * [backup-simplify]: Simplify 1/2 into 1/2 3.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.429 * [taylor]: Taking taylor expansion of 1/2 in x 3.429 * [backup-simplify]: Simplify 1/2 into 1/2 3.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.429 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.429 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.429 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.429 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.429 * [taylor]: Taking taylor expansion of 1 in x 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [taylor]: Taking taylor expansion of 1 in x 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.429 * [taylor]: Taking taylor expansion of x in x 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (/ 1 1) into 1 3.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.430 * [taylor]: Taking taylor expansion of x in x 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (/ 1 1) into 1 3.431 * [backup-simplify]: Simplify (* 1 1) into 1 3.431 * [backup-simplify]: Simplify (+ 0 1) into 1 3.432 * [backup-simplify]: Simplify (sqrt 1) into 1 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.436 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.436 * [taylor]: Taking taylor expansion of 1/2 in x 3.436 * [backup-simplify]: Simplify 1/2 into 1/2 3.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.436 * [taylor]: Taking taylor expansion of 1/2 in x 3.436 * [backup-simplify]: Simplify 1/2 into 1/2 3.436 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.436 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.436 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.436 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.436 * [taylor]: Taking taylor expansion of 1 in x 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [taylor]: Taking taylor expansion of 1 in x 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.436 * [taylor]: Taking taylor expansion of x in x 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.437 * [taylor]: Taking taylor expansion of x in x 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.438 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (+ 0 1) into 1 3.438 * [backup-simplify]: Simplify (sqrt 1) into 1 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.442 * [backup-simplify]: Simplify (/ 1 1) into 1 3.442 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.443 * [backup-simplify]: Simplify 1/2 into 1/2 3.443 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.443 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.444 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.444 * [backup-simplify]: Simplify -1/2 into -1/2 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.446 * [backup-simplify]: Simplify (- 0) into 0 3.446 * [backup-simplify]: Simplify (+ 0 0) into 0 3.446 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (* 1 1) into 1 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.450 * [backup-simplify]: Simplify (+ 1 0) into 1 3.451 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.453 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.454 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.454 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.454 * [backup-simplify]: Simplify 1/4 into 1/4 3.454 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 3.455 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 3.455 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 3.455 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.455 * [taylor]: Taking taylor expansion of 1/2 in x 3.455 * [backup-simplify]: Simplify 1/2 into 1/2 3.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.455 * [taylor]: Taking taylor expansion of 1/2 in x 3.455 * [backup-simplify]: Simplify 1/2 into 1/2 3.455 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.455 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.455 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.455 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.455 * [taylor]: Taking taylor expansion of 1 in x 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [taylor]: Taking taylor expansion of 1 in x 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.455 * [taylor]: Taking taylor expansion of -1 in x 3.455 * [backup-simplify]: Simplify -1 into -1 3.455 * [taylor]: Taking taylor expansion of x in x 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify (/ -1 1) into -1 3.456 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.456 * [taylor]: Taking taylor expansion of -1 in x 3.456 * [backup-simplify]: Simplify -1 into -1 3.456 * [taylor]: Taking taylor expansion of x in x 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify (/ -1 1) into -1 3.457 * [backup-simplify]: Simplify (* -1 -1) into 1 3.457 * [backup-simplify]: Simplify (+ 0 1) into 1 3.457 * [backup-simplify]: Simplify (sqrt 1) into 1 3.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.461 * [backup-simplify]: Simplify (/ 1 1) into 1 3.461 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.461 * [taylor]: Taking taylor expansion of 1/2 in x 3.461 * [backup-simplify]: Simplify 1/2 into 1/2 3.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.462 * [taylor]: Taking taylor expansion of 1/2 in x 3.462 * [backup-simplify]: Simplify 1/2 into 1/2 3.462 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.462 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.462 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.462 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.462 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.462 * [taylor]: Taking taylor expansion of 1 in x 3.462 * [backup-simplify]: Simplify 1 into 1 3.462 * [taylor]: Taking taylor expansion of 1 in x 3.462 * [backup-simplify]: Simplify 1 into 1 3.462 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.462 * [taylor]: Taking taylor expansion of -1 in x 3.462 * [backup-simplify]: Simplify -1 into -1 3.462 * [taylor]: Taking taylor expansion of x in x 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify 1 into 1 3.463 * [backup-simplify]: Simplify (/ -1 1) into -1 3.463 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.463 * [taylor]: Taking taylor expansion of -1 in x 3.463 * [backup-simplify]: Simplify -1 into -1 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [backup-simplify]: Simplify (/ -1 1) into -1 3.464 * [backup-simplify]: Simplify (* -1 -1) into 1 3.464 * [backup-simplify]: Simplify (+ 0 1) into 1 3.464 * [backup-simplify]: Simplify (sqrt 1) into 1 3.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.468 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.469 * [backup-simplify]: Simplify 1/2 into 1/2 3.469 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.470 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.470 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.470 * [backup-simplify]: Simplify -1/2 into -1/2 3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.472 * [backup-simplify]: Simplify (- 0) into 0 3.472 * [backup-simplify]: Simplify (+ 0 0) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (* 1 1) into 1 3.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.476 * [backup-simplify]: Simplify (+ 1 0) into 1 3.477 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.479 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.480 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.480 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.480 * [backup-simplify]: Simplify 1/4 into 1/4 3.480 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 3.480 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.481 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 3.481 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 3.481 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.481 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.481 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.481 * [taylor]: Taking taylor expansion of 1/2 in x 3.481 * [backup-simplify]: Simplify 1/2 into 1/2 3.481 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.481 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.481 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.481 * [taylor]: Taking taylor expansion of 1 in x 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [taylor]: Taking taylor expansion of 1 in x 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [taylor]: Taking taylor expansion of (* x x) in x 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.482 * [backup-simplify]: Simplify (* 1 1) into 1 3.482 * [backup-simplify]: Simplify (* 0 0) into 0 3.483 * [backup-simplify]: Simplify (+ 1 0) into 1 3.483 * [backup-simplify]: Simplify (sqrt 1) into 1 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.485 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.485 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.486 * [backup-simplify]: Simplify (/ 1 1) into 1 3.486 * [taylor]: Taking taylor expansion of 1/2 in x 3.486 * [backup-simplify]: Simplify 1/2 into 1/2 3.487 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.487 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.488 * [backup-simplify]: Simplify (sqrt 1) into 1 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.490 * [backup-simplify]: Simplify (+ 0 0) into 0 3.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.490 * [taylor]: Taking taylor expansion of 1 in x 3.490 * [backup-simplify]: Simplify 1 into 1 3.490 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.490 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.490 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.490 * [taylor]: Taking taylor expansion of 1/2 in x 3.490 * [backup-simplify]: Simplify 1/2 into 1/2 3.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.491 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.491 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.491 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.491 * [taylor]: Taking taylor expansion of 1 in x 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [taylor]: Taking taylor expansion of 1 in x 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [taylor]: Taking taylor expansion of (* x x) in x 3.491 * [taylor]: Taking taylor expansion of x in x 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [taylor]: Taking taylor expansion of x in x 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (* 0 0) into 0 3.492 * [backup-simplify]: Simplify (+ 1 0) into 1 3.493 * [backup-simplify]: Simplify (sqrt 1) into 1 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.495 * [backup-simplify]: Simplify (/ 1 1) into 1 3.495 * [taylor]: Taking taylor expansion of 1/2 in x 3.495 * [backup-simplify]: Simplify 1/2 into 1/2 3.496 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.496 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.497 * [backup-simplify]: Simplify (sqrt 1) into 1 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.508 * [taylor]: Taking taylor expansion of 1 in x 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (+ 1 1) into 2 3.508 * [backup-simplify]: Simplify 2 into 2 3.509 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.511 * [backup-simplify]: Simplify (+ 0 1) into 1 3.512 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.514 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.515 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.516 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.517 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.517 * [backup-simplify]: Simplify -1/8 into -1/8 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.519 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.522 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.526 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.527 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.527 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.528 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 3.528 * [backup-simplify]: Simplify 11/128 into 11/128 3.528 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 3.528 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 3.528 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 3.528 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.528 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.528 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.528 * [taylor]: Taking taylor expansion of 1/2 in x 3.528 * [backup-simplify]: Simplify 1/2 into 1/2 3.528 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.528 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.528 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.528 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.528 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.528 * [taylor]: Taking taylor expansion of 1 in x 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [taylor]: Taking taylor expansion of 1 in x 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.529 * [taylor]: Taking taylor expansion of x in x 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 1 into 1 3.529 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.529 * [taylor]: Taking taylor expansion of x in x 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 1 into 1 3.529 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [backup-simplify]: Simplify (* 1 1) into 1 3.530 * [backup-simplify]: Simplify (+ 0 1) into 1 3.530 * [backup-simplify]: Simplify (sqrt 1) into 1 3.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.532 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.532 * [backup-simplify]: Simplify (/ 1 1) into 1 3.532 * [taylor]: Taking taylor expansion of 1/2 in x 3.532 * [backup-simplify]: Simplify 1/2 into 1/2 3.533 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.533 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.533 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.533 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.534 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.534 * [taylor]: Taking taylor expansion of 1 in x 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.534 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.534 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.534 * [taylor]: Taking taylor expansion of 1/2 in x 3.534 * [backup-simplify]: Simplify 1/2 into 1/2 3.534 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.534 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.534 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.534 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.534 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.535 * [taylor]: Taking taylor expansion of 1 in x 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [taylor]: Taking taylor expansion of 1 in x 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [backup-simplify]: Simplify (* 1 1) into 1 3.536 * [backup-simplify]: Simplify (+ 0 1) into 1 3.536 * [backup-simplify]: Simplify (sqrt 1) into 1 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.537 * [backup-simplify]: Simplify (+ 0 0) into 0 3.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.538 * [backup-simplify]: Simplify (/ 1 1) into 1 3.538 * [taylor]: Taking taylor expansion of 1/2 in x 3.538 * [backup-simplify]: Simplify 1/2 into 1/2 3.538 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.539 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.539 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.539 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.540 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.540 * [taylor]: Taking taylor expansion of 1 in x 3.540 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.541 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.542 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.543 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.544 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.549 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.552 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.558 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 3.558 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 3.558 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 3.558 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.558 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.558 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.558 * [taylor]: Taking taylor expansion of 1/2 in x 3.558 * [backup-simplify]: Simplify 1/2 into 1/2 3.558 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.558 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.559 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.559 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.559 * [taylor]: Taking taylor expansion of 1 in x 3.559 * [backup-simplify]: Simplify 1 into 1 3.559 * [taylor]: Taking taylor expansion of 1 in x 3.559 * [backup-simplify]: Simplify 1 into 1 3.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.559 * [taylor]: Taking taylor expansion of -1 in x 3.559 * [backup-simplify]: Simplify -1 into -1 3.559 * [taylor]: Taking taylor expansion of x in x 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (/ -1 1) into -1 3.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.560 * [taylor]: Taking taylor expansion of -1 in x 3.560 * [backup-simplify]: Simplify -1 into -1 3.560 * [taylor]: Taking taylor expansion of x in x 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (/ -1 1) into -1 3.561 * [backup-simplify]: Simplify (* -1 -1) into 1 3.561 * [backup-simplify]: Simplify (+ 0 1) into 1 3.561 * [backup-simplify]: Simplify (sqrt 1) into 1 3.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.564 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.565 * [backup-simplify]: Simplify (/ 1 1) into 1 3.565 * [taylor]: Taking taylor expansion of 1/2 in x 3.565 * [backup-simplify]: Simplify 1/2 into 1/2 3.566 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.566 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.566 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.567 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.568 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.568 * [taylor]: Taking taylor expansion of 1 in x 3.568 * [backup-simplify]: Simplify 1 into 1 3.568 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.568 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.568 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.568 * [taylor]: Taking taylor expansion of 1/2 in x 3.568 * [backup-simplify]: Simplify 1/2 into 1/2 3.568 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.569 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.569 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.569 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.569 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.569 * [taylor]: Taking taylor expansion of 1 in x 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of 1 in x 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.569 * [taylor]: Taking taylor expansion of -1 in x 3.569 * [backup-simplify]: Simplify -1 into -1 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (/ -1 1) into -1 3.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.570 * [taylor]: Taking taylor expansion of -1 in x 3.570 * [backup-simplify]: Simplify -1 into -1 3.570 * [taylor]: Taking taylor expansion of x in x 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (/ -1 1) into -1 3.571 * [backup-simplify]: Simplify (* -1 -1) into 1 3.571 * [backup-simplify]: Simplify (+ 0 1) into 1 3.571 * [backup-simplify]: Simplify (sqrt 1) into 1 3.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.572 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.573 * [backup-simplify]: Simplify (+ 0 0) into 0 3.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.573 * [backup-simplify]: Simplify (/ 1 1) into 1 3.573 * [taylor]: Taking taylor expansion of 1/2 in x 3.573 * [backup-simplify]: Simplify 1/2 into 1/2 3.574 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.574 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.574 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.575 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.575 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.575 * [taylor]: Taking taylor expansion of 1 in x 3.575 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.577 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.578 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.579 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.583 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.584 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.586 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.590 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 3.590 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 3.590 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.590 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.590 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.590 * [taylor]: Taking taylor expansion of 1/2 in x 3.590 * [backup-simplify]: Simplify 1/2 into 1/2 3.590 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.590 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.590 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.590 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.590 * [taylor]: Taking taylor expansion of 1 in x 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [taylor]: Taking taylor expansion of 1 in x 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [taylor]: Taking taylor expansion of (* x x) in x 3.590 * [taylor]: Taking taylor expansion of x in x 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [taylor]: Taking taylor expansion of x in x 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify (* 1 1) into 1 3.591 * [backup-simplify]: Simplify (* 0 0) into 0 3.591 * [backup-simplify]: Simplify (+ 1 0) into 1 3.591 * [backup-simplify]: Simplify (sqrt 1) into 1 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.592 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.592 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.593 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.593 * [taylor]: Taking taylor expansion of 1/2 in x 3.593 * [backup-simplify]: Simplify 1/2 into 1/2 3.593 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.593 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.593 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.593 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.593 * [taylor]: Taking taylor expansion of 1 in x 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [taylor]: Taking taylor expansion of 1 in x 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [taylor]: Taking taylor expansion of (* x x) in x 3.593 * [taylor]: Taking taylor expansion of x in x 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [taylor]: Taking taylor expansion of x in x 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (* 1 1) into 1 3.594 * [backup-simplify]: Simplify (* 0 0) into 0 3.594 * [backup-simplify]: Simplify (+ 1 0) into 1 3.594 * [backup-simplify]: Simplify (sqrt 1) into 1 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.596 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.596 * [backup-simplify]: Simplify 1/2 into 1/2 3.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.598 * [backup-simplify]: Simplify (+ 0 1) into 1 3.598 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.599 * [backup-simplify]: Simplify -1/4 into -1/4 3.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.610 * [backup-simplify]: Simplify 3/16 into 3/16 3.610 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 3.610 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.610 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.610 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.610 * [taylor]: Taking taylor expansion of 1/2 in x 3.610 * [backup-simplify]: Simplify 1/2 into 1/2 3.610 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.610 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.610 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.610 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.610 * [taylor]: Taking taylor expansion of 1 in x 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of 1 in x 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.610 * [taylor]: Taking taylor expansion of x in x 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify (/ 1 1) into 1 3.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.611 * [taylor]: Taking taylor expansion of x in x 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify (/ 1 1) into 1 3.611 * [backup-simplify]: Simplify (* 1 1) into 1 3.611 * [backup-simplify]: Simplify (+ 0 1) into 1 3.612 * [backup-simplify]: Simplify (sqrt 1) into 1 3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.613 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.614 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.614 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.614 * [taylor]: Taking taylor expansion of 1/2 in x 3.614 * [backup-simplify]: Simplify 1/2 into 1/2 3.614 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.614 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.614 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.614 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.614 * [taylor]: Taking taylor expansion of 1 in x 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [taylor]: Taking taylor expansion of 1 in x 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.614 * [taylor]: Taking taylor expansion of x in x 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.614 * [taylor]: Taking taylor expansion of x in x 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify (/ 1 1) into 1 3.615 * [backup-simplify]: Simplify (* 1 1) into 1 3.615 * [backup-simplify]: Simplify (+ 0 1) into 1 3.615 * [backup-simplify]: Simplify (sqrt 1) into 1 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.617 * [backup-simplify]: Simplify (+ 0 0) into 0 3.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.618 * [backup-simplify]: Simplify 1/2 into 1/2 3.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (* 1 1) into 1 3.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.620 * [backup-simplify]: Simplify (+ 1 0) into 1 3.621 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.622 * [backup-simplify]: Simplify -1/4 into -1/4 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.628 * [backup-simplify]: Simplify (+ 0 0) into 0 3.629 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.630 * [backup-simplify]: Simplify 3/16 into 3/16 3.630 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 3.630 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.631 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.631 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.631 * [taylor]: Taking taylor expansion of 1/2 in x 3.631 * [backup-simplify]: Simplify 1/2 into 1/2 3.631 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.631 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.631 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.631 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.631 * [taylor]: Taking taylor expansion of 1 in x 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of 1 in x 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.631 * [taylor]: Taking taylor expansion of -1 in x 3.631 * [backup-simplify]: Simplify -1 into -1 3.631 * [taylor]: Taking taylor expansion of x in x 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (/ -1 1) into -1 3.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.631 * [taylor]: Taking taylor expansion of -1 in x 3.631 * [backup-simplify]: Simplify -1 into -1 3.631 * [taylor]: Taking taylor expansion of x in x 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (/ -1 1) into -1 3.632 * [backup-simplify]: Simplify (* -1 -1) into 1 3.632 * [backup-simplify]: Simplify (+ 0 1) into 1 3.632 * [backup-simplify]: Simplify (sqrt 1) into 1 3.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.634 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.636 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.636 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.636 * [taylor]: Taking taylor expansion of 1/2 in x 3.636 * [backup-simplify]: Simplify 1/2 into 1/2 3.636 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.636 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.636 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.636 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.636 * [taylor]: Taking taylor expansion of 1 in x 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of 1 in x 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.636 * [taylor]: Taking taylor expansion of -1 in x 3.636 * [backup-simplify]: Simplify -1 into -1 3.636 * [taylor]: Taking taylor expansion of x in x 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (/ -1 1) into -1 3.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.637 * [taylor]: Taking taylor expansion of -1 in x 3.637 * [backup-simplify]: Simplify -1 into -1 3.637 * [taylor]: Taking taylor expansion of x in x 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [backup-simplify]: Simplify (/ -1 1) into -1 3.637 * [backup-simplify]: Simplify (* -1 -1) into 1 3.638 * [backup-simplify]: Simplify (+ 0 1) into 1 3.638 * [backup-simplify]: Simplify (sqrt 1) into 1 3.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.642 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.642 * [backup-simplify]: Simplify 1/2 into 1/2 3.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (* 1 1) into 1 3.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.647 * [backup-simplify]: Simplify (+ 1 0) into 1 3.648 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.649 * [backup-simplify]: Simplify -1/4 into -1/4 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.653 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.664 * [backup-simplify]: Simplify 3/16 into 3/16 3.664 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 3.664 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.665 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.665 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.665 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.665 * [taylor]: Taking taylor expansion of 1/2 in x 3.665 * [backup-simplify]: Simplify 1/2 into 1/2 3.665 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.665 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.665 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.665 * [taylor]: Taking taylor expansion of 1 in x 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [taylor]: Taking taylor expansion of 1 in x 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [taylor]: Taking taylor expansion of (* x x) in x 3.665 * [taylor]: Taking taylor expansion of x in x 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [taylor]: Taking taylor expansion of x in x 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (* 1 1) into 1 3.666 * [backup-simplify]: Simplify (* 0 0) into 0 3.666 * [backup-simplify]: Simplify (+ 1 0) into 1 3.667 * [backup-simplify]: Simplify (sqrt 1) into 1 3.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.668 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.670 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.670 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.670 * [taylor]: Taking taylor expansion of 1/2 in x 3.670 * [backup-simplify]: Simplify 1/2 into 1/2 3.670 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.670 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.670 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.670 * [taylor]: Taking taylor expansion of 1 in x 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of 1 in x 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of (* x x) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (* 0 0) into 0 3.671 * [backup-simplify]: Simplify (+ 1 0) into 1 3.672 * [backup-simplify]: Simplify (sqrt 1) into 1 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.673 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.673 * [backup-simplify]: Simplify (+ 0 0) into 0 3.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.674 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.674 * [backup-simplify]: Simplify 1/2 into 1/2 3.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.677 * [backup-simplify]: Simplify (+ 0 1) into 1 3.678 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.679 * [backup-simplify]: Simplify -1/4 into -1/4 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.691 * [backup-simplify]: Simplify 3/16 into 3/16 3.691 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 3.691 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.691 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.691 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.691 * [taylor]: Taking taylor expansion of 1/2 in x 3.691 * [backup-simplify]: Simplify 1/2 into 1/2 3.691 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.692 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.692 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.692 * [taylor]: Taking taylor expansion of 1 in x 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [taylor]: Taking taylor expansion of 1 in x 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.692 * [taylor]: Taking taylor expansion of x in x 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.692 * [taylor]: Taking taylor expansion of x in x 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (/ 1 1) into 1 3.693 * [backup-simplify]: Simplify (* 1 1) into 1 3.693 * [backup-simplify]: Simplify (+ 0 1) into 1 3.694 * [backup-simplify]: Simplify (sqrt 1) into 1 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.697 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.697 * [taylor]: Taking taylor expansion of 1/2 in x 3.697 * [backup-simplify]: Simplify 1/2 into 1/2 3.698 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.698 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.698 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.698 * [taylor]: Taking taylor expansion of 1 in x 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of 1 in x 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (/ 1 1) into 1 3.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (/ 1 1) into 1 3.699 * [backup-simplify]: Simplify (* 1 1) into 1 3.699 * [backup-simplify]: Simplify (+ 0 1) into 1 3.700 * [backup-simplify]: Simplify (sqrt 1) into 1 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.703 * [backup-simplify]: Simplify 1/2 into 1/2 3.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (* 1 1) into 1 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.708 * [backup-simplify]: Simplify (+ 1 0) into 1 3.709 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.710 * [backup-simplify]: Simplify -1/4 into -1/4 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.724 * [backup-simplify]: Simplify 3/16 into 3/16 3.724 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 3.724 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.724 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.724 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.724 * [taylor]: Taking taylor expansion of 1/2 in x 3.724 * [backup-simplify]: Simplify 1/2 into 1/2 3.724 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.724 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.724 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.724 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.724 * [taylor]: Taking taylor expansion of 1 in x 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [taylor]: Taking taylor expansion of 1 in x 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.725 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.725 * [taylor]: Taking taylor expansion of -1 in x 3.725 * [backup-simplify]: Simplify -1 into -1 3.725 * [taylor]: Taking taylor expansion of x in x 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (/ -1 1) into -1 3.725 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.725 * [taylor]: Taking taylor expansion of -1 in x 3.725 * [backup-simplify]: Simplify -1 into -1 3.725 * [taylor]: Taking taylor expansion of x in x 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (/ -1 1) into -1 3.726 * [backup-simplify]: Simplify (* -1 -1) into 1 3.726 * [backup-simplify]: Simplify (+ 0 1) into 1 3.726 * [backup-simplify]: Simplify (sqrt 1) into 1 3.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.733 * [backup-simplify]: Simplify (+ 0 0) into 0 3.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.733 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.733 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.733 * [taylor]: Taking taylor expansion of 1/2 in x 3.733 * [backup-simplify]: Simplify 1/2 into 1/2 3.733 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.733 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.733 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.733 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.733 * [taylor]: Taking taylor expansion of 1 in x 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [taylor]: Taking taylor expansion of 1 in x 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.734 * [taylor]: Taking taylor expansion of -1 in x 3.734 * [backup-simplify]: Simplify -1 into -1 3.734 * [taylor]: Taking taylor expansion of x in x 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (/ -1 1) into -1 3.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.734 * [taylor]: Taking taylor expansion of -1 in x 3.734 * [backup-simplify]: Simplify -1 into -1 3.734 * [taylor]: Taking taylor expansion of x in x 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (/ -1 1) into -1 3.735 * [backup-simplify]: Simplify (* -1 -1) into 1 3.735 * [backup-simplify]: Simplify (+ 0 1) into 1 3.735 * [backup-simplify]: Simplify (sqrt 1) into 1 3.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.737 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.738 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.738 * [backup-simplify]: Simplify 1/2 into 1/2 3.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (* 1 1) into 1 3.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.741 * [backup-simplify]: Simplify (+ 1 0) into 1 3.742 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.743 * [backup-simplify]: Simplify -1/4 into -1/4 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.750 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.751 * [backup-simplify]: Simplify 3/16 into 3/16 3.752 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 3.752 * * * [progress]: simplifying candidates 3.752 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 3.752 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 3.753 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 3.753 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 3.753 * * * * [progress]: [ 16 / 152 ] 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[progress]: [ 32 / 152 ] simplifiying candidate # 3.753 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 3.754 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 60 / 152 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 3.755 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 3.755 * * * * [progress]: [ 79 / 152 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 3.756 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 3.756 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 110 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))))> 3.757 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 3.757 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 3.757 * * * * 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simplifiying candidate # 3.758 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 140 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 3.758 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 3.758 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 3.759 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 3.761 * [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) 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(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)))))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 3.764 * * [simplify]: iteration 1: (248 enodes) 3.950 * * [simplify]: iteration 2: (622 enodes) 4.240 * * [simplify]: iteration 3: (1577 enodes) 7.060 * * [simplify]: Extracting #0: cost 80 inf + 0 7.063 * * [simplify]: Extracting #1: cost 500 inf + 3 7.076 * * [simplify]: Extracting #2: cost 852 inf + 4401 7.099 * * [simplify]: Extracting #3: cost 607 inf + 66600 7.157 * * [simplify]: Extracting #4: cost 182 inf + 180978 7.200 * * [simplify]: Extracting #5: cost 18 inf + 230118 7.245 * * [simplify]: Extracting #6: cost 1 inf + 235435 7.316 * * [simplify]: Extracting #7: cost 0 inf + 234852 7.372 * [simplify]: Simplified to: (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 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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 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (log1p (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 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)) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (fma 1/4 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (* -3/16 (* (* x x) (* x x))))) (- 1/2 (- (/ 1/2 x) (/ (/ 1/4 (* x x)) x))) (- 1/2 (- (/ (/ 1/4 (* x x)) x) (/ 1/2 x))) (fma -1/8 (* x x) (fma 11/128 (* (* x x) (* x x)) 2)) (- (+ 1 (sqrt 1/2)) (- (/ (/ (/ 1/32 (* x x)) 1/2) (sqrt 1/2)) (/ (/ 1/4 x) (sqrt 1/2)))) (- (- 1 (/ (/ 1/4 x) (sqrt 1/2))) (- (/ (/ (/ 1/32 (* x x)) 1/2) (sqrt 1/2)) (sqrt 1/2))) (fma (* x x) -1/4 (fma (* (* x x) (* x x)) 3/16 1/2)) (- (/ 1/2 x) (+ (/ (/ 1/4 (* x x)) x) (/ -3/16 (pow x 5)))) (- (- (/ (/ 1/4 (* x x)) x) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma (* x x) -1/4 (fma (* (* x x) (* x x)) 3/16 1/2)) (- (/ 1/2 x) (+ (/ (/ 1/4 (* x x)) x) (/ -3/16 (pow x 5)))) (- (- (/ (/ 1/4 (* x x)) x) (/ 1/2 x)) (/ 3/16 (pow x 5))) 7.388 * * * [progress]: adding candidates to table 8.935 * * [progress]: iteration 3 / 4 8.936 * * * [progress]: picking best candidate 8.959 * * * * [pick]: Picked # 8.959 * * * [progress]: localizing error 9.030 * * * [progress]: generating rewritten candidates 9.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 9.070 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 9.102 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 9.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.238 * * * [progress]: generating series expansions 9.238 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 9.239 * [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)))) 9.239 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in (x) around 0 9.239 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 9.239 * [taylor]: Taking taylor expansion of 1/8 in x 9.239 * [backup-simplify]: Simplify 1/8 into 1/8 9.239 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 9.239 * [taylor]: Taking taylor expansion of 1/8 in x 9.239 * [backup-simplify]: Simplify 1/8 into 1/8 9.239 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 9.239 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 9.239 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.239 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.239 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.239 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.239 * [taylor]: Taking taylor expansion of 1 in x 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [taylor]: Taking taylor expansion of 1 in x 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [taylor]: Taking taylor expansion of (* x x) in x 9.239 * [taylor]: Taking taylor expansion of x in x 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [taylor]: Taking taylor expansion of x in x 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify 1 into 1 9.240 * [backup-simplify]: Simplify (* 1 1) into 1 9.241 * [backup-simplify]: Simplify (* 0 0) into 0 9.241 * [backup-simplify]: Simplify (+ 1 0) into 1 9.242 * [backup-simplify]: Simplify (sqrt 1) into 1 9.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.243 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.243 * [backup-simplify]: Simplify (+ 0 0) into 0 9.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.245 * [backup-simplify]: Simplify (* 1 1) into 1 9.245 * [backup-simplify]: Simplify (* 1 1) into 1 9.245 * [backup-simplify]: Simplify (/ 1 1) into 1 9.246 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 9.246 * [taylor]: Taking taylor expansion of 1/8 in x 9.246 * [backup-simplify]: Simplify 1/8 into 1/8 9.246 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 9.246 * [taylor]: Taking taylor expansion of 1/8 in x 9.246 * [backup-simplify]: Simplify 1/8 into 1/8 9.246 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 9.246 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 9.246 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.246 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.246 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.246 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.246 * [taylor]: Taking taylor expansion of 1 in x 9.246 * [backup-simplify]: Simplify 1 into 1 9.246 * [taylor]: Taking taylor expansion of 1 in x 9.246 * [backup-simplify]: Simplify 1 into 1 9.246 * [taylor]: Taking taylor expansion of (* x x) in x 9.246 * [taylor]: Taking taylor expansion of x in x 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 1 into 1 9.246 * [taylor]: Taking taylor expansion of x in x 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 1 into 1 9.247 * [backup-simplify]: Simplify (* 1 1) into 1 9.247 * [backup-simplify]: Simplify (* 0 0) into 0 9.248 * [backup-simplify]: Simplify (+ 1 0) into 1 9.248 * [backup-simplify]: Simplify (sqrt 1) into 1 9.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.249 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.250 * [backup-simplify]: Simplify (+ 0 0) into 0 9.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.251 * [backup-simplify]: Simplify (* 1 1) into 1 9.251 * [backup-simplify]: Simplify (* 1 1) into 1 9.252 * [backup-simplify]: Simplify (/ 1 1) into 1 9.252 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.253 * [backup-simplify]: Simplify (- 1/8) into -1/8 9.253 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 9.253 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.256 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.257 * [backup-simplify]: Simplify (- 0) into 0 9.257 * [backup-simplify]: Simplify (+ 0 0) into 0 9.257 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.260 * [backup-simplify]: Simplify (+ 0 1) into 1 9.261 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.262 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.263 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 9.265 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 9.265 * [backup-simplify]: Simplify (- -3/16) into 3/16 9.266 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 9.266 * [backup-simplify]: Simplify 3/16 into 3/16 9.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.267 * [backup-simplify]: Simplify (+ 0 0) into 0 9.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 9.274 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 9.274 * [backup-simplify]: Simplify (- 0) into 0 9.274 * [backup-simplify]: Simplify (+ 0 0) into 0 9.274 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.276 * [backup-simplify]: Simplify (+ 0 0) into 0 9.278 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.279 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 9.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 9.282 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 9.282 * [backup-simplify]: Simplify (- 15/64) into -15/64 9.283 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 9.283 * [backup-simplify]: Simplify -15/64 into -15/64 9.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.285 * [backup-simplify]: Simplify (+ 0 0) into 0 9.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 9.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 9.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 9.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 9.291 * [backup-simplify]: Simplify (- 0) into 0 9.291 * [backup-simplify]: Simplify (+ 0 0) into 0 9.291 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.293 * [backup-simplify]: Simplify (+ 0 0) into 0 9.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.295 * [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 9.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 9.298 * [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 9.299 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 9.300 * [backup-simplify]: Simplify (- -35/128) into 35/128 9.300 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 9.300 * [backup-simplify]: Simplify 35/128 into 35/128 9.300 * [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))) 9.301 * [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)))) 9.301 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in (x) around 0 9.301 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 9.301 * [taylor]: Taking taylor expansion of 1/8 in x 9.301 * [backup-simplify]: Simplify 1/8 into 1/8 9.301 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 9.301 * [taylor]: Taking taylor expansion of 1/8 in x 9.301 * [backup-simplify]: Simplify 1/8 into 1/8 9.301 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 9.301 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 9.301 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.301 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.301 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.301 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.301 * [taylor]: Taking taylor expansion of 1 in x 9.301 * [backup-simplify]: Simplify 1 into 1 9.301 * [taylor]: Taking taylor expansion of 1 in x 9.301 * [backup-simplify]: Simplify 1 into 1 9.301 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.301 * [taylor]: Taking taylor expansion of x in x 9.301 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify 1 into 1 9.302 * [backup-simplify]: Simplify (/ 1 1) into 1 9.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.302 * [taylor]: Taking taylor expansion of x in x 9.302 * [backup-simplify]: Simplify 0 into 0 9.302 * [backup-simplify]: Simplify 1 into 1 9.302 * [backup-simplify]: Simplify (/ 1 1) into 1 9.303 * [backup-simplify]: Simplify (* 1 1) into 1 9.303 * [backup-simplify]: Simplify (+ 0 1) into 1 9.303 * [backup-simplify]: Simplify (sqrt 1) into 1 9.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.306 * [backup-simplify]: Simplify (+ 0 0) into 0 9.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.308 * [backup-simplify]: Simplify (* 1 1) into 1 9.308 * [backup-simplify]: Simplify (* 1 1) into 1 9.308 * [backup-simplify]: Simplify (/ 1 1) into 1 9.309 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 9.309 * [taylor]: Taking taylor expansion of 1/8 in x 9.309 * [backup-simplify]: Simplify 1/8 into 1/8 9.309 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 9.309 * [taylor]: Taking taylor expansion of 1/8 in x 9.309 * [backup-simplify]: Simplify 1/8 into 1/8 9.309 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 9.309 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 9.309 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.309 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.309 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.309 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.309 * [taylor]: Taking taylor expansion of 1 in x 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [taylor]: Taking taylor expansion of 1 in x 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.309 * [taylor]: Taking taylor expansion of x in x 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (/ 1 1) into 1 9.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.310 * [taylor]: Taking taylor expansion of x in x 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (/ 1 1) into 1 9.311 * [backup-simplify]: Simplify (* 1 1) into 1 9.311 * [backup-simplify]: Simplify (+ 0 1) into 1 9.311 * [backup-simplify]: Simplify (sqrt 1) into 1 9.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.314 * [backup-simplify]: Simplify (+ 0 0) into 0 9.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.315 * [backup-simplify]: Simplify (* 1 1) into 1 9.316 * [backup-simplify]: Simplify (* 1 1) into 1 9.316 * [backup-simplify]: Simplify (/ 1 1) into 1 9.317 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.317 * [backup-simplify]: Simplify 1/8 into 1/8 9.317 * [backup-simplify]: Simplify (+ 0 0) into 0 9.317 * [backup-simplify]: Simplify 0 into 0 9.318 * [backup-simplify]: Simplify (+ 0 0) into 0 9.318 * [backup-simplify]: Simplify 0 into 0 9.318 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.318 * [backup-simplify]: Simplify (- 1/8) into -1/8 9.319 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 9.319 * [backup-simplify]: Simplify -1/8 into -1/8 9.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.322 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.322 * [backup-simplify]: Simplify (- 0) into 0 9.323 * [backup-simplify]: Simplify (+ 0 0) into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (* 1 1) into 1 9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.327 * [backup-simplify]: Simplify (+ 1 0) into 1 9.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.329 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.330 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 9.332 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 9.333 * [backup-simplify]: Simplify (- -3/16) into 3/16 9.333 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 9.333 * [backup-simplify]: Simplify 3/16 into 3/16 9.333 * [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)))) 9.334 * [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)))) 9.334 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in (x) around 0 9.334 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 9.334 * [taylor]: Taking taylor expansion of 1/8 in x 9.334 * [backup-simplify]: Simplify 1/8 into 1/8 9.334 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 9.334 * [taylor]: Taking taylor expansion of 1/8 in x 9.334 * [backup-simplify]: Simplify 1/8 into 1/8 9.334 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 9.334 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 9.334 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.334 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.334 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.334 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.334 * [taylor]: Taking taylor expansion of 1 in x 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [taylor]: Taking taylor expansion of 1 in x 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.334 * [taylor]: Taking taylor expansion of -1 in x 9.334 * [backup-simplify]: Simplify -1 into -1 9.334 * [taylor]: Taking taylor expansion of x in x 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (/ -1 1) into -1 9.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.335 * [taylor]: Taking taylor expansion of -1 in x 9.335 * [backup-simplify]: Simplify -1 into -1 9.335 * [taylor]: Taking taylor expansion of x in x 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 1 into 1 9.336 * [backup-simplify]: Simplify (/ -1 1) into -1 9.336 * [backup-simplify]: Simplify (* -1 -1) into 1 9.337 * [backup-simplify]: Simplify (+ 0 1) into 1 9.337 * [backup-simplify]: Simplify (sqrt 1) into 1 9.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.340 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.340 * [backup-simplify]: Simplify (+ 0 0) into 0 9.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.341 * [backup-simplify]: Simplify (* 1 1) into 1 9.342 * [backup-simplify]: Simplify (* 1 1) into 1 9.342 * [backup-simplify]: Simplify (/ 1 1) into 1 9.342 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 9.342 * [taylor]: Taking taylor expansion of 1/8 in x 9.342 * [backup-simplify]: Simplify 1/8 into 1/8 9.342 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 9.342 * [taylor]: Taking taylor expansion of 1/8 in x 9.342 * [backup-simplify]: Simplify 1/8 into 1/8 9.342 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 9.342 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 9.342 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.342 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.342 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.342 * [taylor]: Taking taylor expansion of 1 in x 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [taylor]: Taking taylor expansion of 1 in x 9.342 * [backup-simplify]: Simplify 1 into 1 9.343 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.343 * [taylor]: Taking taylor expansion of -1 in x 9.343 * [backup-simplify]: Simplify -1 into -1 9.343 * [taylor]: Taking taylor expansion of x in x 9.343 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify 1 into 1 9.343 * [backup-simplify]: Simplify (/ -1 1) into -1 9.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.343 * [taylor]: Taking taylor expansion of -1 in x 9.343 * [backup-simplify]: Simplify -1 into -1 9.343 * [taylor]: Taking taylor expansion of x in x 9.343 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify 1 into 1 9.344 * [backup-simplify]: Simplify (/ -1 1) into -1 9.344 * [backup-simplify]: Simplify (* -1 -1) into 1 9.345 * [backup-simplify]: Simplify (+ 0 1) into 1 9.345 * [backup-simplify]: Simplify (sqrt 1) into 1 9.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.347 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.348 * [backup-simplify]: Simplify (+ 0 0) into 0 9.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.349 * [backup-simplify]: Simplify (* 1 1) into 1 9.349 * [backup-simplify]: Simplify (* 1 1) into 1 9.350 * [backup-simplify]: Simplify (/ 1 1) into 1 9.350 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.350 * [backup-simplify]: Simplify 1/8 into 1/8 9.351 * [backup-simplify]: Simplify (+ 0 0) into 0 9.351 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify (+ 0 0) into 0 9.351 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.352 * [backup-simplify]: Simplify (- 1/8) into -1/8 9.352 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 9.352 * [backup-simplify]: Simplify -1/8 into -1/8 9.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.356 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.356 * [backup-simplify]: Simplify (- 0) into 0 9.356 * [backup-simplify]: Simplify (+ 0 0) into 0 9.356 * [backup-simplify]: Simplify 0 into 0 9.357 * [backup-simplify]: Simplify (* 1 1) into 1 9.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.360 * [backup-simplify]: Simplify (+ 1 0) into 1 9.361 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.362 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.363 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 9.366 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 9.366 * [backup-simplify]: Simplify (- -3/16) into 3/16 9.367 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 9.367 * [backup-simplify]: Simplify 3/16 into 3/16 9.367 * [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)))) 9.367 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 9.368 * [backup-simplify]: Simplify (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) into (/ 1/8 (pow (hypot 1 x) 3)) 9.368 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in (x) around 0 9.368 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 9.368 * [taylor]: Taking taylor expansion of 1/8 in x 9.368 * [backup-simplify]: Simplify 1/8 into 1/8 9.368 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 9.368 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.368 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.368 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.368 * [taylor]: Taking taylor expansion of 1 in x 9.368 * [backup-simplify]: Simplify 1 into 1 9.368 * [taylor]: Taking taylor expansion of 1 in x 9.368 * [backup-simplify]: Simplify 1 into 1 9.368 * [taylor]: Taking taylor expansion of (* x x) in x 9.368 * [taylor]: Taking taylor expansion of x in x 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 1 into 1 9.368 * [taylor]: Taking taylor expansion of x in x 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 1 into 1 9.369 * [backup-simplify]: Simplify (* 1 1) into 1 9.369 * [backup-simplify]: Simplify (* 0 0) into 0 9.370 * [backup-simplify]: Simplify (+ 1 0) into 1 9.370 * [backup-simplify]: Simplify (sqrt 1) into 1 9.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.371 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.372 * [backup-simplify]: Simplify (+ 0 0) into 0 9.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.373 * [backup-simplify]: Simplify (* 1 1) into 1 9.373 * [backup-simplify]: Simplify (* 1 1) into 1 9.374 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 9.374 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 9.374 * [taylor]: Taking taylor expansion of 1/8 in x 9.374 * [backup-simplify]: Simplify 1/8 into 1/8 9.374 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 9.374 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.374 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.374 * [taylor]: Taking taylor expansion of 1 in x 9.374 * [backup-simplify]: Simplify 1 into 1 9.374 * [taylor]: Taking taylor expansion of 1 in x 9.374 * [backup-simplify]: Simplify 1 into 1 9.374 * [taylor]: Taking taylor expansion of (* x x) in x 9.374 * [taylor]: Taking taylor expansion of x in x 9.374 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify 1 into 1 9.374 * [taylor]: Taking taylor expansion of x in x 9.374 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify 1 into 1 9.375 * [backup-simplify]: Simplify (* 1 1) into 1 9.375 * [backup-simplify]: Simplify (* 0 0) into 0 9.376 * [backup-simplify]: Simplify (+ 1 0) into 1 9.376 * [backup-simplify]: Simplify (sqrt 1) into 1 9.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.377 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.378 * [backup-simplify]: Simplify (+ 0 0) into 0 9.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.379 * [backup-simplify]: Simplify (* 1 1) into 1 9.379 * [backup-simplify]: Simplify (* 1 1) into 1 9.380 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 9.380 * [backup-simplify]: Simplify 1/8 into 1/8 9.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 9.382 * [backup-simplify]: Simplify 0 into 0 9.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.384 * [backup-simplify]: Simplify (+ 0 1) into 1 9.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.386 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.388 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 9.389 * [backup-simplify]: Simplify -3/16 into -3/16 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.392 * [backup-simplify]: Simplify (+ 0 0) into 0 9.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 9.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 9.397 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.401 * [backup-simplify]: Simplify (+ 0 0) into 0 9.402 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.410 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 9.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 9.415 * [backup-simplify]: Simplify 15/64 into 15/64 9.415 * [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))) 9.415 * [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)) 9.415 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in (x) around 0 9.415 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 9.415 * [taylor]: Taking taylor expansion of 1/8 in x 9.415 * [backup-simplify]: Simplify 1/8 into 1/8 9.415 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 9.415 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.416 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.416 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.416 * [taylor]: Taking taylor expansion of 1 in x 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [taylor]: Taking taylor expansion of 1 in x 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.416 * [taylor]: Taking taylor expansion of x in x 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [backup-simplify]: Simplify (/ 1 1) into 1 9.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.416 * [taylor]: Taking taylor expansion of x in x 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (/ 1 1) into 1 9.417 * [backup-simplify]: Simplify (* 1 1) into 1 9.418 * [backup-simplify]: Simplify (+ 0 1) into 1 9.418 * [backup-simplify]: Simplify (sqrt 1) into 1 9.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.421 * [backup-simplify]: Simplify (+ 0 0) into 0 9.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.422 * [backup-simplify]: Simplify (* 1 1) into 1 9.423 * [backup-simplify]: Simplify (* 1 1) into 1 9.423 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 9.423 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 9.423 * [taylor]: Taking taylor expansion of 1/8 in x 9.423 * [backup-simplify]: Simplify 1/8 into 1/8 9.423 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 9.423 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.423 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.423 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.423 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.423 * [taylor]: Taking taylor expansion of 1 in x 9.423 * [backup-simplify]: Simplify 1 into 1 9.423 * [taylor]: Taking taylor expansion of 1 in x 9.423 * [backup-simplify]: Simplify 1 into 1 9.423 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.423 * [taylor]: Taking taylor expansion of x in x 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 1 into 1 9.424 * [backup-simplify]: Simplify (/ 1 1) into 1 9.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.424 * [taylor]: Taking taylor expansion of x in x 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 1 into 1 9.425 * [backup-simplify]: Simplify (/ 1 1) into 1 9.425 * [backup-simplify]: Simplify (* 1 1) into 1 9.425 * [backup-simplify]: Simplify (+ 0 1) into 1 9.426 * [backup-simplify]: Simplify (sqrt 1) into 1 9.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.429 * [backup-simplify]: Simplify (+ 0 0) into 0 9.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.430 * [backup-simplify]: Simplify (* 1 1) into 1 9.430 * [backup-simplify]: Simplify (* 1 1) into 1 9.431 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 9.431 * [backup-simplify]: Simplify 1/8 into 1/8 9.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.434 * [backup-simplify]: Simplify (* 1 1) into 1 9.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.437 * [backup-simplify]: Simplify (+ 1 0) into 1 9.438 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.439 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.439 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 9.440 * [backup-simplify]: Simplify -3/16 into -3/16 9.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.443 * [backup-simplify]: Simplify (+ 0 0) into 0 9.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 9.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.448 * [backup-simplify]: Simplify (+ 0 0) into 0 9.449 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.450 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 9.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 9.452 * [backup-simplify]: Simplify 15/64 into 15/64 9.452 * [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)))) 9.453 * [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)) 9.453 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in (x) around 0 9.453 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 9.453 * [taylor]: Taking taylor expansion of 1/8 in x 9.453 * [backup-simplify]: Simplify 1/8 into 1/8 9.453 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 9.453 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.453 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.453 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.453 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.453 * [taylor]: Taking taylor expansion of 1 in x 9.453 * [backup-simplify]: Simplify 1 into 1 9.453 * [taylor]: Taking taylor expansion of 1 in x 9.453 * [backup-simplify]: Simplify 1 into 1 9.453 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.453 * [taylor]: Taking taylor expansion of -1 in x 9.453 * [backup-simplify]: Simplify -1 into -1 9.453 * [taylor]: Taking taylor expansion of x in x 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify 1 into 1 9.453 * [backup-simplify]: Simplify (/ -1 1) into -1 9.453 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.453 * [taylor]: Taking taylor expansion of -1 in x 9.453 * [backup-simplify]: Simplify -1 into -1 9.453 * [taylor]: Taking taylor expansion of x in x 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify 1 into 1 9.454 * [backup-simplify]: Simplify (/ -1 1) into -1 9.454 * [backup-simplify]: Simplify (* -1 -1) into 1 9.454 * [backup-simplify]: Simplify (+ 0 1) into 1 9.454 * [backup-simplify]: Simplify (sqrt 1) into 1 9.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.456 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.456 * [backup-simplify]: Simplify (+ 0 0) into 0 9.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.457 * [backup-simplify]: Simplify (* 1 1) into 1 9.457 * [backup-simplify]: Simplify (* 1 1) into 1 9.457 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 9.457 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 9.457 * [taylor]: Taking taylor expansion of 1/8 in x 9.457 * [backup-simplify]: Simplify 1/8 into 1/8 9.457 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 9.457 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.457 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.457 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.457 * [taylor]: Taking taylor expansion of 1 in x 9.458 * [backup-simplify]: Simplify 1 into 1 9.458 * [taylor]: Taking taylor expansion of 1 in x 9.458 * [backup-simplify]: Simplify 1 into 1 9.458 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.458 * [taylor]: Taking taylor expansion of -1 in x 9.458 * [backup-simplify]: Simplify -1 into -1 9.458 * [taylor]: Taking taylor expansion of x in x 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify 1 into 1 9.458 * [backup-simplify]: Simplify (/ -1 1) into -1 9.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.458 * [taylor]: Taking taylor expansion of -1 in x 9.458 * [backup-simplify]: Simplify -1 into -1 9.458 * [taylor]: Taking taylor expansion of x in x 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify 1 into 1 9.458 * [backup-simplify]: Simplify (/ -1 1) into -1 9.459 * [backup-simplify]: Simplify (* -1 -1) into 1 9.459 * [backup-simplify]: Simplify (+ 0 1) into 1 9.459 * [backup-simplify]: Simplify (sqrt 1) into 1 9.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.460 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.461 * [backup-simplify]: Simplify (+ 0 0) into 0 9.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.461 * [backup-simplify]: Simplify (* 1 1) into 1 9.462 * [backup-simplify]: Simplify (* 1 1) into 1 9.462 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 9.462 * [backup-simplify]: Simplify 1/8 into 1/8 9.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 9.463 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify (* 1 1) into 1 9.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.465 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.466 * [backup-simplify]: Simplify (+ 1 0) into 1 9.466 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.467 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.467 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 9.468 * [backup-simplify]: Simplify -3/16 into -3/16 9.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.471 * [backup-simplify]: Simplify (+ 0 0) into 0 9.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 9.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.476 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 9.477 * [backup-simplify]: Simplify (+ 0 0) into 0 9.477 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.478 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 9.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 9.480 * [backup-simplify]: Simplify 15/64 into 15/64 9.481 * [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))))) 9.481 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 9.481 * [backup-simplify]: Simplify (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) into (pow (hypot 1 x) 3) 9.481 * [approximate]: Taking taylor expansion of (pow (hypot 1 x) 3) in (x) around 0 9.481 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 9.481 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.481 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.481 * [taylor]: Taking taylor expansion of 1 in x 9.481 * [backup-simplify]: Simplify 1 into 1 9.481 * [taylor]: Taking taylor expansion of 1 in x 9.481 * [backup-simplify]: Simplify 1 into 1 9.481 * [taylor]: Taking taylor expansion of (* x x) in x 9.481 * [taylor]: Taking taylor expansion of x in x 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify 1 into 1 9.481 * [taylor]: Taking taylor expansion of x in x 9.481 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify 1 into 1 9.482 * [backup-simplify]: Simplify (* 1 1) into 1 9.482 * [backup-simplify]: Simplify (* 0 0) into 0 9.482 * [backup-simplify]: Simplify (+ 1 0) into 1 9.482 * [backup-simplify]: Simplify (sqrt 1) into 1 9.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.483 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.483 * [backup-simplify]: Simplify (+ 0 0) into 0 9.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.484 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 9.484 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.484 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.484 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.484 * [taylor]: Taking taylor expansion of 1 in x 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [taylor]: Taking taylor expansion of 1 in x 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [taylor]: Taking taylor expansion of (* x x) in x 9.484 * [taylor]: Taking taylor expansion of x in x 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [taylor]: Taking taylor expansion of x in x 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 1 into 1 9.484 * [backup-simplify]: Simplify (* 1 1) into 1 9.485 * [backup-simplify]: Simplify (* 0 0) into 0 9.485 * [backup-simplify]: Simplify (+ 1 0) into 1 9.485 * [backup-simplify]: Simplify (sqrt 1) into 1 9.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.486 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.486 * [backup-simplify]: Simplify (+ 0 0) into 0 9.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.487 * [backup-simplify]: Simplify (* 1 1) into 1 9.487 * [backup-simplify]: Simplify (* 1 1) into 1 9.487 * [backup-simplify]: Simplify 1 into 1 9.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.489 * [backup-simplify]: Simplify (+ 0 1) into 1 9.490 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.491 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.491 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.491 * [backup-simplify]: Simplify 3/2 into 3/2 9.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.493 * [backup-simplify]: Simplify (+ 0 0) into 0 9.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.496 * [backup-simplify]: Simplify (+ 0 0) into 0 9.497 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.498 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 9.499 * [backup-simplify]: Simplify 3/8 into 3/8 9.499 * [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)) 9.499 * [backup-simplify]: Simplify (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x))) into (pow (hypot 1 (/ 1 x)) 3) 9.499 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in (x) around 0 9.499 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 9.499 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.499 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.499 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.500 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.500 * [taylor]: Taking taylor expansion of 1 in x 9.500 * [backup-simplify]: Simplify 1 into 1 9.500 * [taylor]: Taking taylor expansion of 1 in x 9.500 * [backup-simplify]: Simplify 1 into 1 9.500 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.500 * [taylor]: Taking taylor expansion of x in x 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify 1 into 1 9.500 * [backup-simplify]: Simplify (/ 1 1) into 1 9.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.500 * [taylor]: Taking taylor expansion of x in x 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify 1 into 1 9.500 * [backup-simplify]: Simplify (/ 1 1) into 1 9.500 * [backup-simplify]: Simplify (* 1 1) into 1 9.501 * [backup-simplify]: Simplify (+ 0 1) into 1 9.501 * [backup-simplify]: Simplify (sqrt 1) into 1 9.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.502 * [backup-simplify]: Simplify (+ 0 0) into 0 9.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.503 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 9.503 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.503 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.503 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.503 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.503 * [taylor]: Taking taylor expansion of 1 in x 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [taylor]: Taking taylor expansion of 1 in x 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.503 * [taylor]: Taking taylor expansion of x in x 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (/ 1 1) into 1 9.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.503 * [taylor]: Taking taylor expansion of x in x 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 1 into 1 9.504 * [backup-simplify]: Simplify (/ 1 1) into 1 9.504 * [backup-simplify]: Simplify (* 1 1) into 1 9.504 * [backup-simplify]: Simplify (+ 0 1) into 1 9.504 * [backup-simplify]: Simplify (sqrt 1) into 1 9.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.507 * [backup-simplify]: Simplify (+ 0 0) into 0 9.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.508 * [backup-simplify]: Simplify (* 1 1) into 1 9.508 * [backup-simplify]: Simplify (* 1 1) into 1 9.508 * [backup-simplify]: Simplify 1 into 1 9.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.510 * [backup-simplify]: Simplify 0 into 0 9.510 * [backup-simplify]: Simplify (* 1 1) into 1 9.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.520 * [backup-simplify]: Simplify (+ 1 0) into 1 9.520 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.521 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.521 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.521 * [backup-simplify]: Simplify 3/2 into 3/2 9.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.524 * [backup-simplify]: Simplify (+ 0 0) into 0 9.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 9.526 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.529 * [backup-simplify]: Simplify (+ 0 0) into 0 9.530 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.530 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 9.531 * [backup-simplify]: Simplify 3/8 into 3/8 9.532 * [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)))) 9.532 * [backup-simplify]: Simplify (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x)))) into (pow (hypot 1 (/ -1 x)) 3) 9.532 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in (x) around 0 9.532 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 9.532 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.532 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.532 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.532 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.532 * [taylor]: Taking taylor expansion of 1 in x 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [taylor]: Taking taylor expansion of 1 in x 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.532 * [taylor]: Taking taylor expansion of -1 in x 9.532 * [backup-simplify]: Simplify -1 into -1 9.532 * [taylor]: Taking taylor expansion of x in x 9.532 * [backup-simplify]: Simplify 0 into 0 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [backup-simplify]: Simplify (/ -1 1) into -1 9.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.532 * [taylor]: Taking taylor expansion of -1 in x 9.532 * [backup-simplify]: Simplify -1 into -1 9.532 * [taylor]: Taking taylor expansion of x in x 9.532 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify 1 into 1 9.533 * [backup-simplify]: Simplify (/ -1 1) into -1 9.533 * [backup-simplify]: Simplify (* -1 -1) into 1 9.533 * [backup-simplify]: Simplify (+ 0 1) into 1 9.534 * [backup-simplify]: Simplify (sqrt 1) into 1 9.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.535 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.535 * [backup-simplify]: Simplify (+ 0 0) into 0 9.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.536 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 9.536 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.536 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.536 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.536 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.536 * [taylor]: Taking taylor expansion of 1 in x 9.536 * [backup-simplify]: Simplify 1 into 1 9.536 * [taylor]: Taking taylor expansion of 1 in x 9.536 * [backup-simplify]: Simplify 1 into 1 9.536 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.536 * [taylor]: Taking taylor expansion of -1 in x 9.536 * [backup-simplify]: Simplify -1 into -1 9.536 * [taylor]: Taking taylor expansion of x in x 9.536 * [backup-simplify]: Simplify 0 into 0 9.536 * [backup-simplify]: Simplify 1 into 1 9.537 * [backup-simplify]: Simplify (/ -1 1) into -1 9.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.537 * [taylor]: Taking taylor expansion of -1 in x 9.537 * [backup-simplify]: Simplify -1 into -1 9.537 * [taylor]: Taking taylor expansion of x in x 9.537 * [backup-simplify]: Simplify 0 into 0 9.537 * [backup-simplify]: Simplify 1 into 1 9.537 * [backup-simplify]: Simplify (/ -1 1) into -1 9.537 * [backup-simplify]: Simplify (* -1 -1) into 1 9.538 * [backup-simplify]: Simplify (+ 0 1) into 1 9.538 * [backup-simplify]: Simplify (sqrt 1) into 1 9.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.540 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.540 * [backup-simplify]: Simplify (+ 0 0) into 0 9.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.541 * [backup-simplify]: Simplify (* 1 1) into 1 9.541 * [backup-simplify]: Simplify (* 1 1) into 1 9.541 * [backup-simplify]: Simplify 1 into 1 9.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.542 * [backup-simplify]: Simplify 0 into 0 9.542 * [backup-simplify]: Simplify (* 1 1) into 1 9.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.544 * [backup-simplify]: Simplify (+ 1 0) into 1 9.544 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.545 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.546 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.546 * [backup-simplify]: Simplify 3/2 into 3/2 9.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.548 * [backup-simplify]: Simplify (+ 0 0) into 0 9.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 9.550 * [backup-simplify]: Simplify 0 into 0 9.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.553 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 9.553 * [backup-simplify]: Simplify (+ 0 0) into 0 9.554 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.555 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 9.555 * [backup-simplify]: Simplify 3/8 into 3/8 9.556 * [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))))) 9.556 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 9.556 * [backup-simplify]: Simplify (/ (- 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)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) 9.556 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) in (x) around 0 9.556 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) in x 9.556 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 9.556 * [taylor]: Taking taylor expansion of 1/8 in x 9.556 * [backup-simplify]: Simplify 1/8 into 1/8 9.556 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 9.556 * [taylor]: Taking taylor expansion of 1/8 in x 9.556 * [backup-simplify]: Simplify 1/8 into 1/8 9.556 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 9.556 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 9.556 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.556 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.556 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.556 * [taylor]: Taking taylor expansion of 1 in x 9.556 * [backup-simplify]: Simplify 1 into 1 9.556 * [taylor]: Taking taylor expansion of 1 in x 9.556 * [backup-simplify]: Simplify 1 into 1 9.556 * [taylor]: Taking taylor expansion of (* x x) in x 9.556 * [taylor]: Taking taylor expansion of x in x 9.556 * [backup-simplify]: Simplify 0 into 0 9.556 * [backup-simplify]: Simplify 1 into 1 9.556 * [taylor]: Taking taylor expansion of x in x 9.556 * [backup-simplify]: Simplify 0 into 0 9.556 * [backup-simplify]: Simplify 1 into 1 9.557 * [backup-simplify]: Simplify (* 1 1) into 1 9.557 * [backup-simplify]: Simplify (* 0 0) into 0 9.557 * [backup-simplify]: Simplify (+ 1 0) into 1 9.557 * [backup-simplify]: Simplify (sqrt 1) into 1 9.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.558 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.558 * [backup-simplify]: Simplify (+ 0 0) into 0 9.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.559 * [backup-simplify]: Simplify (* 1 1) into 1 9.559 * [backup-simplify]: Simplify (* 1 1) into 1 9.560 * [backup-simplify]: Simplify (/ 1 1) into 1 9.560 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4) in x 9.560 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x))) 1/4) 9.560 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x))) in x 9.560 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.560 * [taylor]: Taking taylor expansion of 1/2 in x 9.560 * [backup-simplify]: Simplify 1/2 into 1/2 9.560 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.560 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.560 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.560 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.560 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.560 * [taylor]: Taking taylor expansion of 1 in x 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of 1 in x 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of (* x x) in x 9.560 * [taylor]: Taking taylor expansion of x in x 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of x in x 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [backup-simplify]: Simplify (* 1 1) into 1 9.561 * [backup-simplify]: Simplify (* 0 0) into 0 9.561 * [backup-simplify]: Simplify (+ 1 0) into 1 9.561 * [backup-simplify]: Simplify (sqrt 1) into 1 9.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.562 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.562 * [backup-simplify]: Simplify (+ 0 0) into 0 9.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.563 * [backup-simplify]: Simplify (/ 1 1) into 1 9.563 * [taylor]: Taking taylor expansion of 1/2 in x 9.563 * [backup-simplify]: Simplify 1/2 into 1/2 9.563 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 9.563 * [taylor]: Taking taylor expansion of 1/2 in x 9.563 * [backup-simplify]: Simplify 1/2 into 1/2 9.563 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.563 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.563 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.563 * [taylor]: Taking taylor expansion of 1 in x 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [taylor]: Taking taylor expansion of 1 in x 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [taylor]: Taking taylor expansion of (* x x) in x 9.563 * [taylor]: Taking taylor expansion of x in x 9.563 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [taylor]: Taking taylor expansion of x in x 9.563 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [backup-simplify]: Simplify (* 1 1) into 1 9.564 * [backup-simplify]: Simplify (* 0 0) into 0 9.564 * [backup-simplify]: Simplify (+ 1 0) into 1 9.564 * [backup-simplify]: Simplify (sqrt 1) into 1 9.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.565 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.565 * [backup-simplify]: Simplify (+ 0 0) into 0 9.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.566 * [taylor]: Taking taylor expansion of 1/4 in x 9.566 * [backup-simplify]: Simplify 1/4 into 1/4 9.566 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.566 * [backup-simplify]: Simplify (- 1/8) into -1/8 9.567 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 9.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.568 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.569 * [backup-simplify]: Simplify (- 0) into 0 9.569 * [backup-simplify]: Simplify (+ 0 0) into 0 9.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.570 * [backup-simplify]: Simplify (+ 0 1) into 1 9.571 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.571 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.572 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 9.573 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 9.574 * [backup-simplify]: Simplify (- -3/16) into 3/16 9.574 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 9.574 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.575 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.575 * [backup-simplify]: Simplify (* 1 1/2) into 1/2 9.575 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 9.575 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 9.575 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) in x 9.575 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 9.575 * [taylor]: Taking taylor expansion of 1/8 in x 9.575 * [backup-simplify]: Simplify 1/8 into 1/8 9.576 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 9.576 * [taylor]: Taking taylor expansion of 1/8 in x 9.576 * [backup-simplify]: Simplify 1/8 into 1/8 9.576 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 9.576 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 9.576 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.576 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.576 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.576 * [taylor]: Taking taylor expansion of 1 in x 9.576 * [backup-simplify]: Simplify 1 into 1 9.576 * [taylor]: Taking taylor expansion of 1 in x 9.576 * [backup-simplify]: Simplify 1 into 1 9.576 * [taylor]: Taking taylor expansion of (* x x) in x 9.576 * [taylor]: Taking taylor expansion of x in x 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify 1 into 1 9.576 * [taylor]: Taking taylor expansion of x in x 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify 1 into 1 9.576 * [backup-simplify]: Simplify (* 1 1) into 1 9.576 * [backup-simplify]: Simplify (* 0 0) into 0 9.577 * [backup-simplify]: Simplify (+ 1 0) into 1 9.577 * [backup-simplify]: Simplify (sqrt 1) into 1 9.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.578 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.578 * [backup-simplify]: Simplify (+ 0 0) into 0 9.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.579 * [backup-simplify]: Simplify (* 1 1) into 1 9.579 * [backup-simplify]: Simplify (* 1 1) into 1 9.579 * [backup-simplify]: Simplify (/ 1 1) into 1 9.579 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4) in x 9.579 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x))) 1/4) 9.579 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x))) in x 9.579 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.579 * [taylor]: Taking taylor expansion of 1/2 in x 9.579 * [backup-simplify]: Simplify 1/2 into 1/2 9.579 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.579 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.579 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.579 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.579 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.579 * [taylor]: Taking taylor expansion of 1 in x 9.579 * [backup-simplify]: Simplify 1 into 1 9.579 * [taylor]: Taking taylor expansion of 1 in x 9.579 * [backup-simplify]: Simplify 1 into 1 9.579 * [taylor]: Taking taylor expansion of (* x x) in x 9.579 * [taylor]: Taking taylor expansion of x in x 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify 1 into 1 9.580 * [taylor]: Taking taylor expansion of x in x 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 1 into 1 9.580 * [backup-simplify]: Simplify (* 1 1) into 1 9.580 * [backup-simplify]: Simplify (* 0 0) into 0 9.581 * [backup-simplify]: Simplify (+ 1 0) into 1 9.581 * [backup-simplify]: Simplify (sqrt 1) into 1 9.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.582 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.582 * [backup-simplify]: Simplify (+ 0 0) into 0 9.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.583 * [backup-simplify]: Simplify (/ 1 1) into 1 9.583 * [taylor]: Taking taylor expansion of 1/2 in x 9.583 * [backup-simplify]: Simplify 1/2 into 1/2 9.583 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 9.583 * [taylor]: Taking taylor expansion of 1/2 in x 9.583 * [backup-simplify]: Simplify 1/2 into 1/2 9.583 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.583 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.583 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.583 * [taylor]: Taking taylor expansion of 1 in x 9.583 * [backup-simplify]: Simplify 1 into 1 9.583 * [taylor]: Taking taylor expansion of 1 in x 9.583 * [backup-simplify]: Simplify 1 into 1 9.583 * [taylor]: Taking taylor expansion of (* x x) in x 9.583 * [taylor]: Taking taylor expansion of x in x 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify 1 into 1 9.583 * [taylor]: Taking taylor expansion of x in x 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify 1 into 1 9.583 * [backup-simplify]: Simplify (* 1 1) into 1 9.583 * [backup-simplify]: Simplify (* 0 0) into 0 9.584 * [backup-simplify]: Simplify (+ 1 0) into 1 9.584 * [backup-simplify]: Simplify (sqrt 1) into 1 9.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.585 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.585 * [backup-simplify]: Simplify (+ 0 0) into 0 9.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.586 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.587 * [taylor]: Taking taylor expansion of 1/4 in x 9.587 * [backup-simplify]: Simplify 1/4 into 1/4 9.587 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.588 * [backup-simplify]: Simplify (- 1/8) into -1/8 9.588 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 9.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.591 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.592 * [backup-simplify]: Simplify (- 0) into 0 9.592 * [backup-simplify]: Simplify (+ 0 0) into 0 9.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.594 * [backup-simplify]: Simplify (+ 0 1) into 1 9.595 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.596 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.597 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 9.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 9.599 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 9.600 * [backup-simplify]: Simplify (- -3/16) into 3/16 9.600 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 9.601 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.601 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.602 * [backup-simplify]: Simplify (* 1 1/2) into 1/2 9.602 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 9.602 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 9.603 * [backup-simplify]: Simplify 1/4 into 1/4 9.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.605 * [backup-simplify]: Simplify (+ 0 0) into 0 9.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 9.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 9.612 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 9.613 * [backup-simplify]: Simplify (- 0) into 0 9.613 * [backup-simplify]: Simplify (+ 0 0) into 0 9.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.616 * [backup-simplify]: Simplify (+ 0 0) into 0 9.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/2)) into 0 9.617 * [backup-simplify]: Simplify (+ 0 0) into 0 9.618 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)))) into 0 9.618 * [backup-simplify]: Simplify 0 into 0 9.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.628 * [backup-simplify]: Simplify (+ 0 0) into 0 9.631 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.633 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 9.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 9.640 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 9.640 * [backup-simplify]: Simplify (- 15/64) into -15/64 9.641 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 9.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.643 * [backup-simplify]: Simplify (+ 0 1) into 1 9.644 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 9.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.647 * [backup-simplify]: Simplify (+ 0 1) into 1 9.648 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.651 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.651 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.652 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1/2))) into -3/8 9.653 * [backup-simplify]: Simplify (+ -3/8 0) into -3/8 9.654 * [backup-simplify]: Simplify (- (/ -15/64 3/4) (+ (* 1/4 (/ -3/8 3/4)) (* 0 (/ 0 3/4)))) into -3/16 9.655 * [backup-simplify]: Simplify -3/16 into -3/16 9.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.658 * [backup-simplify]: Simplify (+ 0 0) into 0 9.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 9.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 9.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 9.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 9.668 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 9.669 * [backup-simplify]: Simplify (- 0) into 0 9.669 * [backup-simplify]: Simplify (+ 0 0) into 0 9.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.672 * [backup-simplify]: Simplify (+ 0 0) into 0 9.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.677 * [backup-simplify]: Simplify (+ 0 0) into 0 9.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.682 * [backup-simplify]: Simplify (+ 0 0) into 0 9.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1/2)))) into 0 9.684 * [backup-simplify]: Simplify (+ 0 0) into 0 9.685 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)) (* 0 (/ -3/8 3/4)) (* -3/16 (/ 0 3/4)))) into 0 9.686 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.690 * [backup-simplify]: Simplify (+ 0 0) into 0 9.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.694 * [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 9.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 9.699 * [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 9.702 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 9.703 * [backup-simplify]: Simplify (- -35/128) into 35/128 9.703 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 9.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.706 * [backup-simplify]: Simplify (+ 0 0) into 0 9.708 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 9.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.712 * [backup-simplify]: Simplify (+ 0 0) into 0 9.714 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.717 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.718 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 9.720 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1/2))))) into 11/32 9.720 * [backup-simplify]: Simplify (+ 11/32 0) into 11/32 9.723 * [backup-simplify]: Simplify (- (/ 35/128 3/4) (+ (* 1/4 (/ 11/32 3/4)) (* 0 (/ 0 3/4)) (* -3/16 (/ -3/8 3/4)) (* 0 (/ 0 3/4)))) into 5/32 9.723 * [backup-simplify]: Simplify 5/32 into 5/32 9.724 * [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))) 9.724 * [backup-simplify]: Simplify (/ (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x))))) (fma (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) 9.724 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) in (x) around 0 9.724 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) in x 9.724 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 9.724 * [taylor]: Taking taylor expansion of 1/8 in x 9.725 * [backup-simplify]: Simplify 1/8 into 1/8 9.725 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 9.725 * [taylor]: Taking taylor expansion of 1/8 in x 9.725 * [backup-simplify]: Simplify 1/8 into 1/8 9.725 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 9.725 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 9.725 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.725 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.725 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.725 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.725 * [taylor]: Taking taylor expansion of 1 in x 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [taylor]: Taking taylor expansion of 1 in x 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.725 * [taylor]: Taking taylor expansion of x in x 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.726 * [backup-simplify]: Simplify (/ 1 1) into 1 9.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.726 * [taylor]: Taking taylor expansion of x in x 9.726 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify 1 into 1 9.726 * [backup-simplify]: Simplify (/ 1 1) into 1 9.727 * [backup-simplify]: Simplify (* 1 1) into 1 9.727 * [backup-simplify]: Simplify (+ 0 1) into 1 9.728 * [backup-simplify]: Simplify (sqrt 1) into 1 9.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.730 * [backup-simplify]: Simplify (+ 0 0) into 0 9.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.731 * [backup-simplify]: Simplify (* 1 1) into 1 9.732 * [backup-simplify]: Simplify (* 1 1) into 1 9.732 * [backup-simplify]: Simplify (/ 1 1) into 1 9.732 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4) in x 9.732 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) 1/4) 9.732 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) in x 9.732 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.732 * [taylor]: Taking taylor expansion of 1/2 in x 9.732 * [backup-simplify]: Simplify 1/2 into 1/2 9.732 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.733 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.733 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.733 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.733 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.733 * [taylor]: Taking taylor expansion of 1 in x 9.733 * [backup-simplify]: Simplify 1 into 1 9.733 * [taylor]: Taking taylor expansion of 1 in x 9.733 * [backup-simplify]: Simplify 1 into 1 9.733 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.733 * [taylor]: Taking taylor expansion of x in x 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 1 into 1 9.733 * [backup-simplify]: Simplify (/ 1 1) into 1 9.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.733 * [taylor]: Taking taylor expansion of x in x 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 1 into 1 9.734 * [backup-simplify]: Simplify (/ 1 1) into 1 9.734 * [backup-simplify]: Simplify (* 1 1) into 1 9.735 * [backup-simplify]: Simplify (+ 0 1) into 1 9.735 * [backup-simplify]: Simplify (sqrt 1) into 1 9.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.738 * [backup-simplify]: Simplify (+ 0 0) into 0 9.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.739 * [backup-simplify]: Simplify (/ 1 1) into 1 9.739 * [taylor]: Taking taylor expansion of 1/2 in x 9.739 * [backup-simplify]: Simplify 1/2 into 1/2 9.739 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 9.739 * [taylor]: Taking taylor expansion of 1/2 in x 9.739 * [backup-simplify]: Simplify 1/2 into 1/2 9.739 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.739 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.739 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.739 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.739 * [taylor]: Taking taylor expansion of 1 in x 9.739 * [backup-simplify]: Simplify 1 into 1 9.739 * [taylor]: Taking taylor expansion of 1 in x 9.739 * [backup-simplify]: Simplify 1 into 1 9.739 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.739 * [taylor]: Taking taylor expansion of x in x 9.739 * [backup-simplify]: Simplify 0 into 0 9.739 * [backup-simplify]: Simplify 1 into 1 9.740 * [backup-simplify]: Simplify (/ 1 1) into 1 9.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.740 * [taylor]: Taking taylor expansion of x in x 9.740 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [backup-simplify]: Simplify (/ 1 1) into 1 9.741 * [backup-simplify]: Simplify (* 1 1) into 1 9.741 * [backup-simplify]: Simplify (+ 0 1) into 1 9.742 * [backup-simplify]: Simplify (sqrt 1) into 1 9.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.744 * [backup-simplify]: Simplify (+ 0 0) into 0 9.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.745 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.745 * [taylor]: Taking taylor expansion of 1/4 in x 9.746 * [backup-simplify]: Simplify 1/4 into 1/4 9.746 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.746 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.746 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 9.746 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) in x 9.746 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 9.746 * [taylor]: Taking taylor expansion of 1/8 in x 9.746 * [backup-simplify]: Simplify 1/8 into 1/8 9.746 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 9.747 * [taylor]: Taking taylor expansion of 1/8 in x 9.747 * [backup-simplify]: Simplify 1/8 into 1/8 9.747 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 9.747 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 9.747 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.747 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.747 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.747 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.747 * [taylor]: Taking taylor expansion of 1 in x 9.747 * [backup-simplify]: Simplify 1 into 1 9.747 * [taylor]: Taking taylor expansion of 1 in x 9.747 * [backup-simplify]: Simplify 1 into 1 9.747 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.747 * [taylor]: Taking taylor expansion of x in x 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 1 into 1 9.747 * [backup-simplify]: Simplify (/ 1 1) into 1 9.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.747 * [taylor]: Taking taylor expansion of x in x 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 1 into 1 9.748 * [backup-simplify]: Simplify (/ 1 1) into 1 9.748 * [backup-simplify]: Simplify (* 1 1) into 1 9.748 * [backup-simplify]: Simplify (+ 0 1) into 1 9.748 * [backup-simplify]: Simplify (sqrt 1) into 1 9.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.750 * [backup-simplify]: Simplify (+ 0 0) into 0 9.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.751 * [backup-simplify]: Simplify (* 1 1) into 1 9.751 * [backup-simplify]: Simplify (* 1 1) into 1 9.751 * [backup-simplify]: Simplify (/ 1 1) into 1 9.751 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4) in x 9.751 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) 1/4) 9.751 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) in x 9.751 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.751 * [taylor]: Taking taylor expansion of 1/2 in x 9.751 * [backup-simplify]: Simplify 1/2 into 1/2 9.751 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.751 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.751 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.751 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.751 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.751 * [taylor]: Taking taylor expansion of 1 in x 9.751 * [backup-simplify]: Simplify 1 into 1 9.751 * [taylor]: Taking taylor expansion of 1 in x 9.751 * [backup-simplify]: Simplify 1 into 1 9.751 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.751 * [taylor]: Taking taylor expansion of x in x 9.751 * [backup-simplify]: Simplify 0 into 0 9.751 * [backup-simplify]: Simplify 1 into 1 9.752 * [backup-simplify]: Simplify (/ 1 1) into 1 9.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.752 * [taylor]: Taking taylor expansion of x in x 9.752 * [backup-simplify]: Simplify 0 into 0 9.752 * [backup-simplify]: Simplify 1 into 1 9.752 * [backup-simplify]: Simplify (/ 1 1) into 1 9.752 * [backup-simplify]: Simplify (* 1 1) into 1 9.752 * [backup-simplify]: Simplify (+ 0 1) into 1 9.753 * [backup-simplify]: Simplify (sqrt 1) into 1 9.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.754 * [backup-simplify]: Simplify (+ 0 0) into 0 9.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.755 * [backup-simplify]: Simplify (/ 1 1) into 1 9.755 * [taylor]: Taking taylor expansion of 1/2 in x 9.755 * [backup-simplify]: Simplify 1/2 into 1/2 9.755 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 9.755 * [taylor]: Taking taylor expansion of 1/2 in x 9.755 * [backup-simplify]: Simplify 1/2 into 1/2 9.755 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.755 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.755 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.755 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.755 * [taylor]: Taking taylor expansion of 1 in x 9.755 * [backup-simplify]: Simplify 1 into 1 9.755 * [taylor]: Taking taylor expansion of 1 in x 9.755 * [backup-simplify]: Simplify 1 into 1 9.755 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.755 * [taylor]: Taking taylor expansion of x in x 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 1 into 1 9.756 * [backup-simplify]: Simplify (/ 1 1) into 1 9.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.756 * [taylor]: Taking taylor expansion of x in x 9.756 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify 1 into 1 9.756 * [backup-simplify]: Simplify (/ 1 1) into 1 9.756 * [backup-simplify]: Simplify (* 1 1) into 1 9.756 * [backup-simplify]: Simplify (+ 0 1) into 1 9.757 * [backup-simplify]: Simplify (sqrt 1) into 1 9.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.758 * [backup-simplify]: Simplify (+ 0 0) into 0 9.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.759 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.759 * [taylor]: Taking taylor expansion of 1/4 in x 9.759 * [backup-simplify]: Simplify 1/4 into 1/4 9.759 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.759 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.760 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 9.760 * [backup-simplify]: Simplify 1/2 into 1/2 9.760 * [backup-simplify]: Simplify (+ 0 0) into 0 9.760 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.761 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.761 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.761 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)))) into -1/2 9.761 * [backup-simplify]: Simplify -1/2 into -1/2 9.762 * [backup-simplify]: Simplify (+ 0 0) into 0 9.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.762 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.763 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 1/2 1/2)) into 1/4 9.763 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.764 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)) (* -1/2 (/ 1/4 1/4)))) into 0 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.765 * [backup-simplify]: Simplify (- 1/8) into -1/8 9.765 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 9.766 * [backup-simplify]: Simplify (* 1 1) into 1 9.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.776 * [backup-simplify]: Simplify (+ 1 0) into 1 9.777 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 9.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.780 * [backup-simplify]: Simplify (+ 0 0) into 0 9.781 * [backup-simplify]: Simplify (+ (* 1/2 -1/4) (+ (* 1/2 0) (* 0 1/2))) into -1/8 9.781 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 9.782 * [backup-simplify]: Simplify (- (/ -1/8 1/4) (+ (* 1/2 (/ -1/8 1/4)) (* -1/2 (/ 1/4 1/4)) (* 0 (/ 1/4 1/4)))) into 1/4 9.782 * [backup-simplify]: Simplify 1/4 into 1/4 9.782 * [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))) 9.783 * [backup-simplify]: Simplify (/ (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x)))))) (fma (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/4)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4)) 9.783 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4)) in (x) around 0 9.783 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4)) in x 9.783 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 9.783 * [taylor]: Taking taylor expansion of 1/8 in x 9.783 * [backup-simplify]: Simplify 1/8 into 1/8 9.783 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 9.783 * [taylor]: Taking taylor expansion of 1/8 in x 9.783 * [backup-simplify]: Simplify 1/8 into 1/8 9.783 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 9.783 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 9.783 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.783 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.783 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.783 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.783 * [taylor]: Taking taylor expansion of 1 in x 9.783 * [backup-simplify]: Simplify 1 into 1 9.783 * [taylor]: Taking taylor expansion of 1 in x 9.783 * [backup-simplify]: Simplify 1 into 1 9.783 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.783 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.783 * [taylor]: Taking taylor expansion of -1 in x 9.783 * [backup-simplify]: Simplify -1 into -1 9.783 * [taylor]: Taking taylor expansion of x in x 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (/ -1 1) into -1 9.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.784 * [taylor]: Taking taylor expansion of -1 in x 9.784 * [backup-simplify]: Simplify -1 into -1 9.784 * [taylor]: Taking taylor expansion of x in x 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (/ -1 1) into -1 9.784 * [backup-simplify]: Simplify (* -1 -1) into 1 9.784 * [backup-simplify]: Simplify (+ 0 1) into 1 9.785 * [backup-simplify]: Simplify (sqrt 1) into 1 9.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.786 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.786 * [backup-simplify]: Simplify (+ 0 0) into 0 9.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.787 * [backup-simplify]: Simplify (* 1 1) into 1 9.787 * [backup-simplify]: Simplify (* 1 1) into 1 9.788 * [backup-simplify]: Simplify (/ 1 1) into 1 9.788 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4) in x 9.788 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x)))) 1/4) 9.788 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x)))) in x 9.788 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.788 * [taylor]: Taking taylor expansion of 1/2 in x 9.788 * [backup-simplify]: Simplify 1/2 into 1/2 9.788 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.788 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.788 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.788 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.788 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.788 * [taylor]: Taking taylor expansion of 1 in x 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [taylor]: Taking taylor expansion of 1 in x 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.788 * [taylor]: Taking taylor expansion of -1 in x 9.788 * [backup-simplify]: Simplify -1 into -1 9.788 * [taylor]: Taking taylor expansion of x in x 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify (/ -1 1) into -1 9.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.788 * [taylor]: Taking taylor expansion of -1 in x 9.788 * [backup-simplify]: Simplify -1 into -1 9.788 * [taylor]: Taking taylor expansion of x in x 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.789 * [backup-simplify]: Simplify (/ -1 1) into -1 9.789 * [backup-simplify]: Simplify (* -1 -1) into 1 9.789 * [backup-simplify]: Simplify (+ 0 1) into 1 9.790 * [backup-simplify]: Simplify (sqrt 1) into 1 9.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.791 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.791 * [backup-simplify]: Simplify (+ 0 0) into 0 9.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.792 * [backup-simplify]: Simplify (/ 1 1) into 1 9.792 * [taylor]: Taking taylor expansion of 1/2 in x 9.792 * [backup-simplify]: Simplify 1/2 into 1/2 9.792 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 9.792 * [taylor]: Taking taylor expansion of 1/2 in x 9.792 * [backup-simplify]: Simplify 1/2 into 1/2 9.792 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.792 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.792 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.792 * [taylor]: Taking taylor expansion of 1 in x 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of 1 in x 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.792 * [taylor]: Taking taylor expansion of -1 in x 9.792 * [backup-simplify]: Simplify -1 into -1 9.792 * [taylor]: Taking taylor expansion of x in x 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [backup-simplify]: Simplify (/ -1 1) into -1 9.793 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.793 * [taylor]: Taking taylor expansion of -1 in x 9.793 * [backup-simplify]: Simplify -1 into -1 9.793 * [taylor]: Taking taylor expansion of x in x 9.793 * [backup-simplify]: Simplify 0 into 0 9.793 * [backup-simplify]: Simplify 1 into 1 9.793 * [backup-simplify]: Simplify (/ -1 1) into -1 9.793 * [backup-simplify]: Simplify (* -1 -1) into 1 9.793 * [backup-simplify]: Simplify (+ 0 1) into 1 9.794 * [backup-simplify]: Simplify (sqrt 1) into 1 9.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.795 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.795 * [backup-simplify]: Simplify (+ 0 0) into 0 9.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.796 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.796 * [taylor]: Taking taylor expansion of 1/4 in x 9.796 * [backup-simplify]: Simplify 1/4 into 1/4 9.796 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.797 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.797 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 9.797 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4)) in x 9.797 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 9.797 * [taylor]: Taking taylor expansion of 1/8 in x 9.797 * [backup-simplify]: Simplify 1/8 into 1/8 9.797 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 9.797 * [taylor]: Taking taylor expansion of 1/8 in x 9.797 * [backup-simplify]: Simplify 1/8 into 1/8 9.797 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 9.797 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 9.797 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.797 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.797 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.797 * [taylor]: Taking taylor expansion of 1 in x 9.797 * [backup-simplify]: Simplify 1 into 1 9.797 * [taylor]: Taking taylor expansion of 1 in x 9.797 * [backup-simplify]: Simplify 1 into 1 9.797 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.797 * [taylor]: Taking taylor expansion of -1 in x 9.797 * [backup-simplify]: Simplify -1 into -1 9.797 * [taylor]: Taking taylor expansion of x in x 9.797 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify 1 into 1 9.798 * [backup-simplify]: Simplify (/ -1 1) into -1 9.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.798 * [taylor]: Taking taylor expansion of -1 in x 9.798 * [backup-simplify]: Simplify -1 into -1 9.798 * [taylor]: Taking taylor expansion of x in x 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 1 into 1 9.798 * [backup-simplify]: Simplify (/ -1 1) into -1 9.798 * [backup-simplify]: Simplify (* -1 -1) into 1 9.799 * [backup-simplify]: Simplify (+ 0 1) into 1 9.799 * [backup-simplify]: Simplify (sqrt 1) into 1 9.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.801 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.801 * [backup-simplify]: Simplify (+ 0 0) into 0 9.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.802 * [backup-simplify]: Simplify (* 1 1) into 1 9.802 * [backup-simplify]: Simplify (* 1 1) into 1 9.803 * [backup-simplify]: Simplify (/ 1 1) into 1 9.803 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4) in x 9.803 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x)))) 1/4) 9.803 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x)))) in x 9.803 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.803 * [taylor]: Taking taylor expansion of 1/2 in x 9.803 * [backup-simplify]: Simplify 1/2 into 1/2 9.803 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.803 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.803 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.803 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.803 * [taylor]: Taking taylor expansion of 1 in x 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [taylor]: Taking taylor expansion of 1 in x 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.803 * [taylor]: Taking taylor expansion of -1 in x 9.803 * [backup-simplify]: Simplify -1 into -1 9.803 * [taylor]: Taking taylor expansion of x in x 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [backup-simplify]: Simplify (/ -1 1) into -1 9.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.803 * [taylor]: Taking taylor expansion of -1 in x 9.803 * [backup-simplify]: Simplify -1 into -1 9.803 * [taylor]: Taking taylor expansion of x in x 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.804 * [backup-simplify]: Simplify (/ -1 1) into -1 9.804 * [backup-simplify]: Simplify (* -1 -1) into 1 9.804 * [backup-simplify]: Simplify (+ 0 1) into 1 9.805 * [backup-simplify]: Simplify (sqrt 1) into 1 9.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.806 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.806 * [backup-simplify]: Simplify (+ 0 0) into 0 9.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.807 * [backup-simplify]: Simplify (/ 1 1) into 1 9.807 * [taylor]: Taking taylor expansion of 1/2 in x 9.807 * [backup-simplify]: Simplify 1/2 into 1/2 9.807 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 9.807 * [taylor]: Taking taylor expansion of 1/2 in x 9.807 * [backup-simplify]: Simplify 1/2 into 1/2 9.807 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.807 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.807 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.807 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.807 * [taylor]: Taking taylor expansion of 1 in x 9.807 * [backup-simplify]: Simplify 1 into 1 9.807 * [taylor]: Taking taylor expansion of 1 in x 9.807 * [backup-simplify]: Simplify 1 into 1 9.807 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.807 * [taylor]: Taking taylor expansion of -1 in x 9.807 * [backup-simplify]: Simplify -1 into -1 9.807 * [taylor]: Taking taylor expansion of x in x 9.807 * [backup-simplify]: Simplify 0 into 0 9.807 * [backup-simplify]: Simplify 1 into 1 9.808 * [backup-simplify]: Simplify (/ -1 1) into -1 9.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.808 * [taylor]: Taking taylor expansion of -1 in x 9.808 * [backup-simplify]: Simplify -1 into -1 9.808 * [taylor]: Taking taylor expansion of x in x 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 1 into 1 9.808 * [backup-simplify]: Simplify (/ -1 1) into -1 9.808 * [backup-simplify]: Simplify (* -1 -1) into 1 9.808 * [backup-simplify]: Simplify (+ 0 1) into 1 9.809 * [backup-simplify]: Simplify (sqrt 1) into 1 9.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.810 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.810 * [backup-simplify]: Simplify (+ 0 0) into 0 9.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.811 * [taylor]: Taking taylor expansion of 1/4 in x 9.811 * [backup-simplify]: Simplify 1/4 into 1/4 9.811 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.812 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.812 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 9.812 * [backup-simplify]: Simplify 1/2 into 1/2 9.812 * [backup-simplify]: Simplify (+ 0 0) into 0 9.813 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.813 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.813 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.814 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)))) into -1/2 9.814 * [backup-simplify]: Simplify -1/2 into -1/2 9.814 * [backup-simplify]: Simplify (+ 0 0) into 0 9.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.815 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.815 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 1/2 1/2)) into 1/4 9.816 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.816 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)) (* -1/2 (/ 1/4 1/4)))) into 0 9.816 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.817 * [backup-simplify]: Simplify (- 1/8) into -1/8 9.817 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 9.817 * [backup-simplify]: Simplify (* 1 1) into 1 9.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.819 * [backup-simplify]: Simplify (+ 1 0) into 1 9.820 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 9.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.822 * [backup-simplify]: Simplify (+ 0 0) into 0 9.822 * [backup-simplify]: Simplify (+ (* 1/2 -1/4) (+ (* 1/2 0) (* 0 1/2))) into -1/8 9.823 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 9.824 * [backup-simplify]: Simplify (- (/ -1/8 1/4) (+ (* 1/2 (/ -1/8 1/4)) (* -1/2 (/ 1/4 1/4)) (* 0 (/ 1/4 1/4)))) into 1/4 9.824 * [backup-simplify]: Simplify 1/4 into 1/4 9.824 * [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)))) 9.824 * * * [progress]: simplifying candidates 9.824 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 9.824 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 9.825 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 41 / 152 ] 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 (hypot 1 x)) 1/2)))))> 9.826 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 9.826 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 60 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 67 / 152 ] 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 (hypot 1 x)) 1/2)))))> 9.827 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 9.827 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 79 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 9.828 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 98 / 152 ] 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 (hypot 1 x)) 1/2)))))> 9.829 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 110 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 9.829 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 9.830 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 140 / 152 ] 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 (hypot 1 x)) 1/2)))))> 9.831 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 9.831 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 9.833 * [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 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1/8 (/ 1 (pow x 3)))) (* 3/16 (/ 1 (pow x 5)))) (- (* 3/16 (/ 1 (pow x 5))) (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3))))) (+ (* 3/2 (pow x 2)) (+ (* 3/8 (pow x 4)) 1)) (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x)))) (- (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 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)))) 9.837 * * [simplify]: iteration 1: (266 enodes) 9.998 * * [simplify]: iteration 2: (674 enodes) 10.315 * * [simplify]: iteration 3: (1847 enodes) 12.528 * * [simplify]: Extracting #0: cost 113 inf + 0 12.532 * * [simplify]: Extracting #1: cost 785 inf + 3 12.550 * * [simplify]: Extracting #2: cost 1606 inf + 4884 12.583 * * [simplify]: Extracting #3: cost 1314 inf + 79389 12.668 * * [simplify]: Extracting #4: cost 448 inf + 318889 12.839 * * [simplify]: Extracting #5: cost 36 inf + 481356 13.011 * * [simplify]: Extracting #6: cost 5 inf + 491244 13.232 * * [simplify]: Extracting #7: cost 0 inf + 492716 13.362 * [simplify]: Simplified to: (fma (cbrt 1/8) (* (cbrt 1/8) (cbrt 1/8)) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* 0 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (cbrt 1/8) (* (cbrt 1/8) (cbrt 1/8)) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* 0 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (- (* (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8)) (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x)))) (* (/ (cbrt 1/8) (hypot 1 x)) (+ (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x)))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))))) (fma (cbrt 1/8) (* (cbrt 1/8) (cbrt 1/8)) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* 0 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (cbrt 1/8) (* (cbrt 1/8) (cbrt 1/8)) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (* 0 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (cbrt 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(hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (* (cbrt (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (cbrt (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)))) (cbrt (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (* (* (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (sqrt (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (sqrt (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (+ -1/8 (- (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (- (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ 1/8 (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (* (hypot 1 x) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (* (/ (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)))) (/ (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (* (/ (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (/ (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (* (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (/ (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)))) (/ (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (/ (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ 1 (* (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)))) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ 1 (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) 1 (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ (+ (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt 1/8)) (* (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)))) (/ (- (sqrt 1/8) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (+ (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt 1/8)) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (- (sqrt 1/8) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (+ (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt 1/8)) (/ (- (sqrt 1/8) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ 1 (* (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)))) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ 1 (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) 1 (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ 1 (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (/ (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (/ (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (cbrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (/ (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (/ (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (/ (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (/ (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (- (sqrt 1/8) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (/ (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 1/64) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4)) (* (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (real->posit16 (/ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4))) (fma (* (* x x) (* x x)) -15/64 (fma 3/16 (* x x) (* (* (* x x) (* x x)) (* (* x x) 35/128)))) (+ (- 1/8 (/ (/ 1/8 x) (* x x))) (/ 3/16 (pow x 5))) (+ (+ 1/8 (/ (/ 1/8 x) (* x x))) (/ -3/16 (pow x 5))) (fma -3/16 (* x x) (fma (* (* x x) (* x x)) 15/64 1/8)) (+ (/ (/ 1/8 x) (* x x)) (+ (/ -3/16 (pow x 5)) (/ 15/64 (pow x 7)))) (+ (- (/ -1/8 (* (* x x) x)) (/ 15/64 (pow x 7))) (/ 3/16 (pow x 5))) (fma 3/2 (* x x) (fma 3/8 (* (* x x) (* x x)) 1)) (fma x (+ 3/2 (* x x)) (/ 3/8 x)) (- (fma x (+ 3/2 (* x x)) (/ 3/8 x))) (fma 5/32 (* (* (* x x) x) (* (* x x) x)) (fma (* x x) 1/4 (* (* (* x x) (* x x)) -3/16))) (- 1/2 (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (+ (/ -1/4 (* (* x x) x)) (+ (/ 1/2 x) 1/2)) 13.392 * * * [progress]: adding candidates to table 15.240 * * [progress]: iteration 4 / 4 15.240 * * * [progress]: picking best candidate 15.275 * * * * [pick]: Picked # 15.275 * * * [progress]: localizing error 15.367 * * * [progress]: generating rewritten candidates 15.367 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 15.407 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 15.421 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 15.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 15.537 * * * [progress]: generating series expansions 15.538 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 15.538 * [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)))) 15.538 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in (x) around 0 15.538 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 15.538 * [taylor]: Taking taylor expansion of 1/8 in x 15.538 * [backup-simplify]: Simplify 1/8 into 1/8 15.538 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 15.538 * [taylor]: Taking taylor expansion of 1/8 in x 15.538 * [backup-simplify]: Simplify 1/8 into 1/8 15.538 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 15.538 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 15.538 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.538 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.538 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.538 * [taylor]: Taking taylor expansion of 1 in x 15.538 * [backup-simplify]: Simplify 1 into 1 15.539 * [taylor]: Taking taylor expansion of 1 in x 15.539 * [backup-simplify]: Simplify 1 into 1 15.539 * [taylor]: Taking taylor expansion of (* x x) in x 15.539 * [taylor]: Taking taylor expansion of x in x 15.539 * [backup-simplify]: Simplify 0 into 0 15.539 * [backup-simplify]: Simplify 1 into 1 15.539 * [taylor]: Taking taylor expansion of x in x 15.539 * [backup-simplify]: Simplify 0 into 0 15.539 * [backup-simplify]: Simplify 1 into 1 15.541 * [backup-simplify]: Simplify (* 1 1) into 1 15.541 * [backup-simplify]: Simplify (* 0 0) into 0 15.542 * [backup-simplify]: Simplify (+ 1 0) into 1 15.542 * [backup-simplify]: Simplify (sqrt 1) into 1 15.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.544 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.544 * [backup-simplify]: Simplify (+ 0 0) into 0 15.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.545 * [backup-simplify]: Simplify (* 1 1) into 1 15.545 * [backup-simplify]: Simplify (* 1 1) into 1 15.546 * [backup-simplify]: Simplify (/ 1 1) into 1 15.546 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 15.546 * [taylor]: Taking taylor expansion of 1/8 in x 15.546 * [backup-simplify]: Simplify 1/8 into 1/8 15.546 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 15.546 * [taylor]: Taking taylor expansion of 1/8 in x 15.546 * [backup-simplify]: Simplify 1/8 into 1/8 15.546 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 15.546 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 15.546 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.546 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.546 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.546 * [taylor]: Taking taylor expansion of 1 in x 15.546 * [backup-simplify]: Simplify 1 into 1 15.546 * [taylor]: Taking taylor expansion of 1 in x 15.546 * [backup-simplify]: Simplify 1 into 1 15.546 * [taylor]: Taking taylor expansion of (* x x) in x 15.546 * [taylor]: Taking taylor expansion of x in x 15.546 * [backup-simplify]: Simplify 0 into 0 15.546 * [backup-simplify]: Simplify 1 into 1 15.546 * [taylor]: Taking taylor expansion of x in x 15.546 * [backup-simplify]: Simplify 0 into 0 15.547 * [backup-simplify]: Simplify 1 into 1 15.547 * [backup-simplify]: Simplify (* 1 1) into 1 15.547 * [backup-simplify]: Simplify (* 0 0) into 0 15.548 * [backup-simplify]: Simplify (+ 1 0) into 1 15.548 * [backup-simplify]: Simplify (sqrt 1) into 1 15.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.549 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.550 * [backup-simplify]: Simplify (+ 0 0) into 0 15.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.551 * [backup-simplify]: Simplify (* 1 1) into 1 15.551 * [backup-simplify]: Simplify (* 1 1) into 1 15.552 * [backup-simplify]: Simplify (/ 1 1) into 1 15.552 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 15.553 * [backup-simplify]: Simplify (- 1/8) into -1/8 15.553 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 15.553 * [backup-simplify]: Simplify 0 into 0 15.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.556 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 15.556 * [backup-simplify]: Simplify (- 0) into 0 15.557 * [backup-simplify]: Simplify (+ 0 0) into 0 15.557 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.559 * [backup-simplify]: Simplify (+ 0 1) into 1 15.560 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.561 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.562 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 15.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 15.564 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 15.564 * [backup-simplify]: Simplify (- -3/16) into 3/16 15.565 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 15.565 * [backup-simplify]: Simplify 3/16 into 3/16 15.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.567 * [backup-simplify]: Simplify (+ 0 0) into 0 15.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 15.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 15.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 15.573 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 15.574 * [backup-simplify]: Simplify (- 0) into 0 15.574 * [backup-simplify]: Simplify (+ 0 0) into 0 15.574 * [backup-simplify]: Simplify 0 into 0 15.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.577 * [backup-simplify]: Simplify (+ 0 0) into 0 15.578 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.579 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 15.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 15.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 15.584 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 15.585 * [backup-simplify]: Simplify (- 15/64) into -15/64 15.585 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 15.585 * [backup-simplify]: Simplify -15/64 into -15/64 15.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.588 * [backup-simplify]: Simplify (+ 0 0) into 0 15.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 15.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 15.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 15.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 15.598 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 15.598 * [backup-simplify]: Simplify (- 0) into 0 15.598 * [backup-simplify]: Simplify (+ 0 0) into 0 15.598 * [backup-simplify]: Simplify 0 into 0 15.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 15.602 * [backup-simplify]: Simplify (+ 0 0) into 0 15.603 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 15.605 * [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 15.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 15.610 * [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 15.613 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 15.614 * [backup-simplify]: Simplify (- -35/128) into 35/128 15.614 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 15.614 * [backup-simplify]: Simplify 35/128 into 35/128 15.615 * [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))) 15.615 * [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)))) 15.615 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in (x) around 0 15.615 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 15.615 * [taylor]: Taking taylor expansion of 1/8 in x 15.615 * [backup-simplify]: Simplify 1/8 into 1/8 15.615 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 15.615 * [taylor]: Taking taylor expansion of 1/8 in x 15.615 * [backup-simplify]: Simplify 1/8 into 1/8 15.615 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 15.615 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 15.615 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.615 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.615 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.615 * [taylor]: Taking taylor expansion of 1 in x 15.615 * [backup-simplify]: Simplify 1 into 1 15.615 * [taylor]: Taking taylor expansion of 1 in x 15.615 * [backup-simplify]: Simplify 1 into 1 15.615 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.616 * [taylor]: Taking taylor expansion of x in x 15.616 * [backup-simplify]: Simplify 0 into 0 15.616 * [backup-simplify]: Simplify 1 into 1 15.616 * [backup-simplify]: Simplify (/ 1 1) into 1 15.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.616 * [taylor]: Taking taylor expansion of x in x 15.616 * [backup-simplify]: Simplify 0 into 0 15.616 * [backup-simplify]: Simplify 1 into 1 15.616 * [backup-simplify]: Simplify (/ 1 1) into 1 15.617 * [backup-simplify]: Simplify (* 1 1) into 1 15.617 * [backup-simplify]: Simplify (+ 0 1) into 1 15.618 * [backup-simplify]: Simplify (sqrt 1) into 1 15.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.620 * [backup-simplify]: Simplify (+ 0 0) into 0 15.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.622 * [backup-simplify]: Simplify (* 1 1) into 1 15.623 * [backup-simplify]: Simplify (* 1 1) into 1 15.623 * [backup-simplify]: Simplify (/ 1 1) into 1 15.623 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 15.623 * [taylor]: Taking taylor expansion of 1/8 in x 15.623 * [backup-simplify]: Simplify 1/8 into 1/8 15.623 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 15.623 * [taylor]: Taking taylor expansion of 1/8 in x 15.623 * [backup-simplify]: Simplify 1/8 into 1/8 15.623 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 15.623 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 15.623 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.623 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.623 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.623 * [taylor]: Taking taylor expansion of 1 in x 15.624 * [backup-simplify]: Simplify 1 into 1 15.624 * [taylor]: Taking taylor expansion of 1 in x 15.624 * [backup-simplify]: Simplify 1 into 1 15.624 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.624 * [taylor]: Taking taylor expansion of x in x 15.624 * [backup-simplify]: Simplify 0 into 0 15.624 * [backup-simplify]: Simplify 1 into 1 15.624 * [backup-simplify]: Simplify (/ 1 1) into 1 15.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.624 * [taylor]: Taking taylor expansion of x in x 15.624 * [backup-simplify]: Simplify 0 into 0 15.624 * [backup-simplify]: Simplify 1 into 1 15.625 * [backup-simplify]: Simplify (/ 1 1) into 1 15.625 * [backup-simplify]: Simplify (* 1 1) into 1 15.626 * [backup-simplify]: Simplify (+ 0 1) into 1 15.626 * [backup-simplify]: Simplify (sqrt 1) into 1 15.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.629 * [backup-simplify]: Simplify (+ 0 0) into 0 15.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.630 * [backup-simplify]: Simplify (* 1 1) into 1 15.630 * [backup-simplify]: Simplify (* 1 1) into 1 15.630 * [backup-simplify]: Simplify (/ 1 1) into 1 15.631 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 15.631 * [backup-simplify]: Simplify 1/8 into 1/8 15.631 * [backup-simplify]: Simplify (+ 0 0) into 0 15.631 * [backup-simplify]: Simplify 0 into 0 15.632 * [backup-simplify]: Simplify (+ 0 0) into 0 15.632 * [backup-simplify]: Simplify 0 into 0 15.632 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 15.633 * [backup-simplify]: Simplify (- 1/8) into -1/8 15.633 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 15.633 * [backup-simplify]: Simplify -1/8 into -1/8 15.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.636 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 15.636 * [backup-simplify]: Simplify (- 0) into 0 15.637 * [backup-simplify]: Simplify (+ 0 0) into 0 15.637 * [backup-simplify]: Simplify 0 into 0 15.637 * [backup-simplify]: Simplify (* 1 1) into 1 15.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.640 * [backup-simplify]: Simplify (+ 1 0) into 1 15.641 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.642 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.643 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 15.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 15.645 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 15.646 * [backup-simplify]: Simplify (- -3/16) into 3/16 15.646 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 15.646 * [backup-simplify]: Simplify 3/16 into 3/16 15.646 * [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)))) 15.647 * [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)))) 15.647 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in (x) around 0 15.647 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 15.647 * [taylor]: Taking taylor expansion of 1/8 in x 15.647 * [backup-simplify]: Simplify 1/8 into 1/8 15.647 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 15.647 * [taylor]: Taking taylor expansion of 1/8 in x 15.647 * [backup-simplify]: Simplify 1/8 into 1/8 15.647 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 15.647 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 15.647 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.647 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.647 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.647 * [taylor]: Taking taylor expansion of 1 in x 15.647 * [backup-simplify]: Simplify 1 into 1 15.647 * [taylor]: Taking taylor expansion of 1 in x 15.647 * [backup-simplify]: Simplify 1 into 1 15.647 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.647 * [taylor]: Taking taylor expansion of -1 in x 15.647 * [backup-simplify]: Simplify -1 into -1 15.647 * [taylor]: Taking taylor expansion of x in x 15.648 * [backup-simplify]: Simplify 0 into 0 15.648 * [backup-simplify]: Simplify 1 into 1 15.648 * [backup-simplify]: Simplify (/ -1 1) into -1 15.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.648 * [taylor]: Taking taylor expansion of -1 in x 15.648 * [backup-simplify]: Simplify -1 into -1 15.648 * [taylor]: Taking taylor expansion of x in x 15.648 * [backup-simplify]: Simplify 0 into 0 15.648 * [backup-simplify]: Simplify 1 into 1 15.649 * [backup-simplify]: Simplify (/ -1 1) into -1 15.649 * [backup-simplify]: Simplify (* -1 -1) into 1 15.649 * [backup-simplify]: Simplify (+ 0 1) into 1 15.655 * [backup-simplify]: Simplify (sqrt 1) into 1 15.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.656 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.657 * [backup-simplify]: Simplify (+ 0 0) into 0 15.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.657 * [backup-simplify]: Simplify (* 1 1) into 1 15.657 * [backup-simplify]: Simplify (* 1 1) into 1 15.658 * [backup-simplify]: Simplify (/ 1 1) into 1 15.658 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 15.658 * [taylor]: Taking taylor expansion of 1/8 in x 15.658 * [backup-simplify]: Simplify 1/8 into 1/8 15.658 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 15.658 * [taylor]: Taking taylor expansion of 1/8 in x 15.658 * [backup-simplify]: Simplify 1/8 into 1/8 15.658 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 15.658 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 15.658 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.658 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.658 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.658 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.658 * [taylor]: Taking taylor expansion of 1 in x 15.658 * [backup-simplify]: Simplify 1 into 1 15.658 * [taylor]: Taking taylor expansion of 1 in x 15.658 * [backup-simplify]: Simplify 1 into 1 15.658 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.658 * [taylor]: Taking taylor expansion of -1 in x 15.658 * [backup-simplify]: Simplify -1 into -1 15.658 * [taylor]: Taking taylor expansion of x in x 15.658 * [backup-simplify]: Simplify 0 into 0 15.658 * [backup-simplify]: Simplify 1 into 1 15.658 * [backup-simplify]: Simplify (/ -1 1) into -1 15.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.658 * [taylor]: Taking taylor expansion of -1 in x 15.658 * [backup-simplify]: Simplify -1 into -1 15.658 * [taylor]: Taking taylor expansion of x in x 15.658 * [backup-simplify]: Simplify 0 into 0 15.658 * [backup-simplify]: Simplify 1 into 1 15.659 * [backup-simplify]: Simplify (/ -1 1) into -1 15.659 * [backup-simplify]: Simplify (* -1 -1) into 1 15.659 * [backup-simplify]: Simplify (+ 0 1) into 1 15.659 * [backup-simplify]: Simplify (sqrt 1) into 1 15.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.661 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.661 * [backup-simplify]: Simplify (+ 0 0) into 0 15.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.662 * [backup-simplify]: Simplify (* 1 1) into 1 15.662 * [backup-simplify]: Simplify (* 1 1) into 1 15.662 * [backup-simplify]: Simplify (/ 1 1) into 1 15.663 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 15.663 * [backup-simplify]: Simplify 1/8 into 1/8 15.663 * [backup-simplify]: Simplify (+ 0 0) into 0 15.663 * [backup-simplify]: Simplify 0 into 0 15.663 * [backup-simplify]: Simplify (+ 0 0) into 0 15.663 * [backup-simplify]: Simplify 0 into 0 15.664 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 15.664 * [backup-simplify]: Simplify (- 1/8) into -1/8 15.664 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 15.664 * [backup-simplify]: Simplify -1/8 into -1/8 15.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.666 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 15.666 * [backup-simplify]: Simplify (- 0) into 0 15.666 * [backup-simplify]: Simplify (+ 0 0) into 0 15.666 * [backup-simplify]: Simplify 0 into 0 15.666 * [backup-simplify]: Simplify (* 1 1) into 1 15.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.668 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.668 * [backup-simplify]: Simplify (+ 1 0) into 1 15.669 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.670 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.670 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 15.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 15.671 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 15.672 * [backup-simplify]: Simplify (- -3/16) into 3/16 15.672 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 15.672 * [backup-simplify]: Simplify 3/16 into 3/16 15.672 * [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)))) 15.672 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 15.672 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 x) (hypot 1 x))) into (/ 1/8 (pow (hypot 1 x) 2)) 15.672 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 2)) in (x) around 0 15.672 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 2)) in x 15.672 * [taylor]: Taking taylor expansion of 1/8 in x 15.672 * [backup-simplify]: Simplify 1/8 into 1/8 15.672 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 15.672 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.672 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.672 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.672 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.672 * [taylor]: Taking taylor expansion of 1 in x 15.672 * [backup-simplify]: Simplify 1 into 1 15.672 * [taylor]: Taking taylor expansion of 1 in x 15.672 * [backup-simplify]: Simplify 1 into 1 15.672 * [taylor]: Taking taylor expansion of (* x x) in x 15.672 * [taylor]: Taking taylor expansion of x in x 15.672 * [backup-simplify]: Simplify 0 into 0 15.673 * [backup-simplify]: Simplify 1 into 1 15.673 * [taylor]: Taking taylor expansion of x in x 15.673 * [backup-simplify]: Simplify 0 into 0 15.673 * [backup-simplify]: Simplify 1 into 1 15.673 * [backup-simplify]: Simplify (* 1 1) into 1 15.673 * [backup-simplify]: Simplify (* 0 0) into 0 15.673 * [backup-simplify]: Simplify (+ 1 0) into 1 15.674 * [backup-simplify]: Simplify (sqrt 1) into 1 15.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.674 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.675 * [backup-simplify]: Simplify (+ 0 0) into 0 15.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.675 * [backup-simplify]: Simplify (* 1 1) into 1 15.676 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.676 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 2)) in x 15.676 * [taylor]: Taking taylor expansion of 1/8 in x 15.676 * [backup-simplify]: Simplify 1/8 into 1/8 15.676 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 15.676 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.676 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.676 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.676 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.676 * [taylor]: Taking taylor expansion of 1 in x 15.676 * [backup-simplify]: Simplify 1 into 1 15.676 * [taylor]: Taking taylor expansion of 1 in x 15.676 * [backup-simplify]: Simplify 1 into 1 15.676 * [taylor]: Taking taylor expansion of (* x x) in x 15.676 * [taylor]: Taking taylor expansion of x in x 15.676 * [backup-simplify]: Simplify 0 into 0 15.676 * [backup-simplify]: Simplify 1 into 1 15.676 * [taylor]: Taking taylor expansion of x in x 15.676 * [backup-simplify]: Simplify 0 into 0 15.676 * [backup-simplify]: Simplify 1 into 1 15.676 * [backup-simplify]: Simplify (* 1 1) into 1 15.676 * [backup-simplify]: Simplify (* 0 0) into 0 15.677 * [backup-simplify]: Simplify (+ 1 0) into 1 15.677 * [backup-simplify]: Simplify (sqrt 1) into 1 15.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.678 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.678 * [backup-simplify]: Simplify (+ 0 0) into 0 15.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.679 * [backup-simplify]: Simplify (* 1 1) into 1 15.679 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.679 * [backup-simplify]: Simplify 1/8 into 1/8 15.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.680 * [backup-simplify]: Simplify 0 into 0 15.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.681 * [backup-simplify]: Simplify (+ 0 1) into 1 15.682 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.682 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 1 1)) (* 0 (/ 0 1)))) into -1/8 15.683 * [backup-simplify]: Simplify -1/8 into -1/8 15.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.684 * [backup-simplify]: Simplify (+ 0 0) into 0 15.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 15.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 1 1)) (* -1/8 (/ 0 1)))) into 0 15.688 * [backup-simplify]: Simplify 0 into 0 15.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.691 * [backup-simplify]: Simplify (+ 0 0) into 0 15.693 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.695 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 15.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* -1/8 (/ 1 1)) (* 0 (/ 0 1)))) into 1/8 15.697 * [backup-simplify]: Simplify 1/8 into 1/8 15.697 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 4)) (+ (* -1/8 (pow x 2)) 1/8)) into (- (+ (* 1/8 (pow x 4)) 1/8) (* 1/8 (pow x 2))) 15.697 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x)))) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 2)) 15.698 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 2)) in (x) around 0 15.698 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 2)) in x 15.698 * [taylor]: Taking taylor expansion of 1/8 in x 15.698 * [backup-simplify]: Simplify 1/8 into 1/8 15.698 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 15.698 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.698 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.698 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.698 * [taylor]: Taking taylor expansion of 1 in x 15.698 * [backup-simplify]: Simplify 1 into 1 15.698 * [taylor]: Taking taylor expansion of 1 in x 15.698 * [backup-simplify]: Simplify 1 into 1 15.698 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.698 * [taylor]: Taking taylor expansion of x in x 15.698 * [backup-simplify]: Simplify 0 into 0 15.698 * [backup-simplify]: Simplify 1 into 1 15.699 * [backup-simplify]: Simplify (/ 1 1) into 1 15.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.699 * [taylor]: Taking taylor expansion of x in x 15.699 * [backup-simplify]: Simplify 0 into 0 15.699 * [backup-simplify]: Simplify 1 into 1 15.699 * [backup-simplify]: Simplify (/ 1 1) into 1 15.700 * [backup-simplify]: Simplify (* 1 1) into 1 15.700 * [backup-simplify]: Simplify (+ 0 1) into 1 15.700 * [backup-simplify]: Simplify (sqrt 1) into 1 15.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.703 * [backup-simplify]: Simplify (+ 0 0) into 0 15.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.704 * [backup-simplify]: Simplify (* 1 1) into 1 15.705 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.705 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 2)) in x 15.705 * [taylor]: Taking taylor expansion of 1/8 in x 15.705 * [backup-simplify]: Simplify 1/8 into 1/8 15.705 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 15.705 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.705 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.705 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.705 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.705 * [taylor]: Taking taylor expansion of 1 in x 15.705 * [backup-simplify]: Simplify 1 into 1 15.705 * [taylor]: Taking taylor expansion of 1 in x 15.705 * [backup-simplify]: Simplify 1 into 1 15.705 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.705 * [taylor]: Taking taylor expansion of x in x 15.705 * [backup-simplify]: Simplify 0 into 0 15.705 * [backup-simplify]: Simplify 1 into 1 15.706 * [backup-simplify]: Simplify (/ 1 1) into 1 15.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.706 * [taylor]: Taking taylor expansion of x in x 15.706 * [backup-simplify]: Simplify 0 into 0 15.706 * [backup-simplify]: Simplify 1 into 1 15.706 * [backup-simplify]: Simplify (/ 1 1) into 1 15.707 * [backup-simplify]: Simplify (* 1 1) into 1 15.707 * [backup-simplify]: Simplify (+ 0 1) into 1 15.708 * [backup-simplify]: Simplify (sqrt 1) into 1 15.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.710 * [backup-simplify]: Simplify (+ 0 0) into 0 15.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.710 * [backup-simplify]: Simplify (* 1 1) into 1 15.711 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.711 * [backup-simplify]: Simplify 1/8 into 1/8 15.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.712 * [backup-simplify]: Simplify 0 into 0 15.712 * [backup-simplify]: Simplify (* 1 1) into 1 15.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.714 * [backup-simplify]: Simplify (+ 1 0) into 1 15.714 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.715 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 1 1)) (* 0 (/ 0 1)))) into -1/8 15.716 * [backup-simplify]: Simplify -1/8 into -1/8 15.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.718 * [backup-simplify]: Simplify (+ 0 0) into 0 15.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 15.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 1 1)) (* -1/8 (/ 0 1)))) into 0 15.720 * [backup-simplify]: Simplify 0 into 0 15.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.723 * [backup-simplify]: Simplify (+ 0 0) into 0 15.723 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.724 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 15.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* -1/8 (/ 1 1)) (* 0 (/ 0 1)))) into 1/8 15.725 * [backup-simplify]: Simplify 1/8 into 1/8 15.725 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 x) 6)) (+ (* -1/8 (pow (/ 1 x) 4)) (* 1/8 (pow (/ 1 x) 2)))) into (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 4)))) 15.726 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x))))) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 2)) 15.726 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 2)) in (x) around 0 15.726 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 2)) in x 15.726 * [taylor]: Taking taylor expansion of 1/8 in x 15.726 * [backup-simplify]: Simplify 1/8 into 1/8 15.726 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 15.726 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.726 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.726 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.726 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.726 * [taylor]: Taking taylor expansion of 1 in x 15.726 * [backup-simplify]: Simplify 1 into 1 15.726 * [taylor]: Taking taylor expansion of 1 in x 15.726 * [backup-simplify]: Simplify 1 into 1 15.726 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.726 * [taylor]: Taking taylor expansion of -1 in x 15.726 * [backup-simplify]: Simplify -1 into -1 15.726 * [taylor]: Taking taylor expansion of x in x 15.726 * [backup-simplify]: Simplify 0 into 0 15.726 * [backup-simplify]: Simplify 1 into 1 15.726 * [backup-simplify]: Simplify (/ -1 1) into -1 15.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.726 * [taylor]: Taking taylor expansion of -1 in x 15.726 * [backup-simplify]: Simplify -1 into -1 15.726 * [taylor]: Taking taylor expansion of x in x 15.726 * [backup-simplify]: Simplify 0 into 0 15.726 * [backup-simplify]: Simplify 1 into 1 15.727 * [backup-simplify]: Simplify (/ -1 1) into -1 15.727 * [backup-simplify]: Simplify (* -1 -1) into 1 15.727 * [backup-simplify]: Simplify (+ 0 1) into 1 15.727 * [backup-simplify]: Simplify (sqrt 1) into 1 15.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.729 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.729 * [backup-simplify]: Simplify (+ 0 0) into 0 15.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.730 * [backup-simplify]: Simplify (* 1 1) into 1 15.730 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.730 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 2)) in x 15.730 * [taylor]: Taking taylor expansion of 1/8 in x 15.730 * [backup-simplify]: Simplify 1/8 into 1/8 15.730 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 15.730 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.730 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.730 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.730 * [taylor]: Taking taylor expansion of 1 in x 15.730 * [backup-simplify]: Simplify 1 into 1 15.730 * [taylor]: Taking taylor expansion of 1 in x 15.730 * [backup-simplify]: Simplify 1 into 1 15.730 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.730 * [taylor]: Taking taylor expansion of -1 in x 15.730 * [backup-simplify]: Simplify -1 into -1 15.730 * [taylor]: Taking taylor expansion of x in x 15.730 * [backup-simplify]: Simplify 0 into 0 15.730 * [backup-simplify]: Simplify 1 into 1 15.731 * [backup-simplify]: Simplify (/ -1 1) into -1 15.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.731 * [taylor]: Taking taylor expansion of -1 in x 15.731 * [backup-simplify]: Simplify -1 into -1 15.731 * [taylor]: Taking taylor expansion of x in x 15.731 * [backup-simplify]: Simplify 0 into 0 15.731 * [backup-simplify]: Simplify 1 into 1 15.731 * [backup-simplify]: Simplify (/ -1 1) into -1 15.731 * [backup-simplify]: Simplify (* -1 -1) into 1 15.731 * [backup-simplify]: Simplify (+ 0 1) into 1 15.732 * [backup-simplify]: Simplify (sqrt 1) into 1 15.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.733 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.733 * [backup-simplify]: Simplify (+ 0 0) into 0 15.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.734 * [backup-simplify]: Simplify (* 1 1) into 1 15.734 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.734 * [backup-simplify]: Simplify 1/8 into 1/8 15.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.735 * [backup-simplify]: Simplify 0 into 0 15.735 * [backup-simplify]: Simplify (* 1 1) into 1 15.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.738 * [backup-simplify]: Simplify (+ 1 0) into 1 15.739 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.740 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 1 1)) (* 0 (/ 0 1)))) into -1/8 15.741 * [backup-simplify]: Simplify -1/8 into -1/8 15.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.745 * [backup-simplify]: Simplify (+ 0 0) into 0 15.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 15.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 1 1)) (* -1/8 (/ 0 1)))) into 0 15.747 * [backup-simplify]: Simplify 0 into 0 15.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.750 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 15.750 * [backup-simplify]: Simplify (+ 0 0) into 0 15.751 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.752 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 15.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* -1/8 (/ 1 1)) (* 0 (/ 0 1)))) into 1/8 15.752 * [backup-simplify]: Simplify 1/8 into 1/8 15.753 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (- x)) 6)) (+ (* -1/8 (pow (/ 1 (- x)) 4)) (* 1/8 (pow (/ 1 (- x)) 2)))) into (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 4)))) 15.753 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 15.753 * [backup-simplify]: Simplify (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) into (/ 1/8 (pow (hypot 1 x) 3)) 15.753 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in (x) around 0 15.753 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 15.753 * [taylor]: Taking taylor expansion of 1/8 in x 15.753 * [backup-simplify]: Simplify 1/8 into 1/8 15.753 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 15.753 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.753 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.753 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.753 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.753 * [taylor]: Taking taylor expansion of 1 in x 15.753 * [backup-simplify]: Simplify 1 into 1 15.753 * [taylor]: Taking taylor expansion of 1 in x 15.753 * [backup-simplify]: Simplify 1 into 1 15.753 * [taylor]: Taking taylor expansion of (* x x) in x 15.753 * [taylor]: Taking taylor expansion of x in x 15.753 * [backup-simplify]: Simplify 0 into 0 15.753 * [backup-simplify]: Simplify 1 into 1 15.753 * [taylor]: Taking taylor expansion of x in x 15.753 * [backup-simplify]: Simplify 0 into 0 15.753 * [backup-simplify]: Simplify 1 into 1 15.753 * [backup-simplify]: Simplify (* 1 1) into 1 15.754 * [backup-simplify]: Simplify (* 0 0) into 0 15.759 * [backup-simplify]: Simplify (+ 1 0) into 1 15.759 * [backup-simplify]: Simplify (sqrt 1) into 1 15.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.760 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.760 * [backup-simplify]: Simplify (+ 0 0) into 0 15.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.761 * [backup-simplify]: Simplify (* 1 1) into 1 15.761 * [backup-simplify]: Simplify (* 1 1) into 1 15.762 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.762 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 15.762 * [taylor]: Taking taylor expansion of 1/8 in x 15.762 * [backup-simplify]: Simplify 1/8 into 1/8 15.762 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 15.762 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.762 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.762 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.762 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.762 * [taylor]: Taking taylor expansion of 1 in x 15.762 * [backup-simplify]: Simplify 1 into 1 15.762 * [taylor]: Taking taylor expansion of 1 in x 15.762 * [backup-simplify]: Simplify 1 into 1 15.762 * [taylor]: Taking taylor expansion of (* x x) in x 15.762 * [taylor]: Taking taylor expansion of x in x 15.762 * [backup-simplify]: Simplify 0 into 0 15.762 * [backup-simplify]: Simplify 1 into 1 15.762 * [taylor]: Taking taylor expansion of x in x 15.762 * [backup-simplify]: Simplify 0 into 0 15.762 * [backup-simplify]: Simplify 1 into 1 15.762 * [backup-simplify]: Simplify (* 1 1) into 1 15.762 * [backup-simplify]: Simplify (* 0 0) into 0 15.763 * [backup-simplify]: Simplify (+ 1 0) into 1 15.763 * [backup-simplify]: Simplify (sqrt 1) into 1 15.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.764 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.764 * [backup-simplify]: Simplify (+ 0 0) into 0 15.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.765 * [backup-simplify]: Simplify (* 1 1) into 1 15.765 * [backup-simplify]: Simplify (* 1 1) into 1 15.765 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.766 * [backup-simplify]: Simplify 1/8 into 1/8 15.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.767 * [backup-simplify]: Simplify 0 into 0 15.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.768 * [backup-simplify]: Simplify (+ 0 1) into 1 15.769 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.769 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.770 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 15.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 15.771 * [backup-simplify]: Simplify -3/16 into -3/16 15.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.772 * [backup-simplify]: Simplify (+ 0 0) into 0 15.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 15.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 15.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 15.775 * [backup-simplify]: Simplify 0 into 0 15.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.777 * [backup-simplify]: Simplify (+ 0 0) into 0 15.778 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.779 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 15.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 15.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 15.781 * [backup-simplify]: Simplify 15/64 into 15/64 15.781 * [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))) 15.781 * [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)) 15.782 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in (x) around 0 15.782 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 15.782 * [taylor]: Taking taylor expansion of 1/8 in x 15.782 * [backup-simplify]: Simplify 1/8 into 1/8 15.782 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 15.782 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.782 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.782 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.782 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.782 * [taylor]: Taking taylor expansion of 1 in x 15.782 * [backup-simplify]: Simplify 1 into 1 15.782 * [taylor]: Taking taylor expansion of 1 in x 15.782 * [backup-simplify]: Simplify 1 into 1 15.782 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.782 * [taylor]: Taking taylor expansion of x in x 15.782 * [backup-simplify]: Simplify 0 into 0 15.782 * [backup-simplify]: Simplify 1 into 1 15.782 * [backup-simplify]: Simplify (/ 1 1) into 1 15.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.783 * [taylor]: Taking taylor expansion of x in x 15.783 * [backup-simplify]: Simplify 0 into 0 15.783 * [backup-simplify]: Simplify 1 into 1 15.783 * [backup-simplify]: Simplify (/ 1 1) into 1 15.783 * [backup-simplify]: Simplify (* 1 1) into 1 15.784 * [backup-simplify]: Simplify (+ 0 1) into 1 15.784 * [backup-simplify]: Simplify (sqrt 1) into 1 15.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.786 * [backup-simplify]: Simplify (+ 0 0) into 0 15.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.788 * [backup-simplify]: Simplify (* 1 1) into 1 15.788 * [backup-simplify]: Simplify (* 1 1) into 1 15.789 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.789 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 15.789 * [taylor]: Taking taylor expansion of 1/8 in x 15.789 * [backup-simplify]: Simplify 1/8 into 1/8 15.789 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 15.789 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.790 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.790 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.790 * [taylor]: Taking taylor expansion of 1 in x 15.790 * [backup-simplify]: Simplify 1 into 1 15.790 * [taylor]: Taking taylor expansion of 1 in x 15.790 * [backup-simplify]: Simplify 1 into 1 15.790 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.790 * [taylor]: Taking taylor expansion of x in x 15.790 * [backup-simplify]: Simplify 0 into 0 15.790 * [backup-simplify]: Simplify 1 into 1 15.790 * [backup-simplify]: Simplify (/ 1 1) into 1 15.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.790 * [taylor]: Taking taylor expansion of x in x 15.790 * [backup-simplify]: Simplify 0 into 0 15.790 * [backup-simplify]: Simplify 1 into 1 15.791 * [backup-simplify]: Simplify (/ 1 1) into 1 15.791 * [backup-simplify]: Simplify (* 1 1) into 1 15.792 * [backup-simplify]: Simplify (+ 0 1) into 1 15.792 * [backup-simplify]: Simplify (sqrt 1) into 1 15.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.795 * [backup-simplify]: Simplify (+ 0 0) into 0 15.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.796 * [backup-simplify]: Simplify (* 1 1) into 1 15.796 * [backup-simplify]: Simplify (* 1 1) into 1 15.797 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.797 * [backup-simplify]: Simplify 1/8 into 1/8 15.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.799 * [backup-simplify]: Simplify 0 into 0 15.800 * [backup-simplify]: Simplify (* 1 1) into 1 15.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.803 * [backup-simplify]: Simplify (+ 1 0) into 1 15.804 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.805 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.806 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 15.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 15.807 * [backup-simplify]: Simplify -3/16 into -3/16 15.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.810 * [backup-simplify]: Simplify (+ 0 0) into 0 15.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 15.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 15.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 15.814 * [backup-simplify]: Simplify 0 into 0 15.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.817 * [backup-simplify]: Simplify (+ 0 0) into 0 15.817 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.818 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 15.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 15.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 15.820 * [backup-simplify]: Simplify 15/64 into 15/64 15.820 * [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)))) 15.821 * [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)) 15.821 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in (x) around 0 15.821 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 15.821 * [taylor]: Taking taylor expansion of 1/8 in x 15.821 * [backup-simplify]: Simplify 1/8 into 1/8 15.821 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 15.821 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.821 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.821 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.821 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.821 * [taylor]: Taking taylor expansion of 1 in x 15.821 * [backup-simplify]: Simplify 1 into 1 15.821 * [taylor]: Taking taylor expansion of 1 in x 15.821 * [backup-simplify]: Simplify 1 into 1 15.821 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.821 * [taylor]: Taking taylor expansion of -1 in x 15.821 * [backup-simplify]: Simplify -1 into -1 15.821 * [taylor]: Taking taylor expansion of x in x 15.821 * [backup-simplify]: Simplify 0 into 0 15.821 * [backup-simplify]: Simplify 1 into 1 15.821 * [backup-simplify]: Simplify (/ -1 1) into -1 15.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.821 * [taylor]: Taking taylor expansion of -1 in x 15.821 * [backup-simplify]: Simplify -1 into -1 15.821 * [taylor]: Taking taylor expansion of x in x 15.821 * [backup-simplify]: Simplify 0 into 0 15.821 * [backup-simplify]: Simplify 1 into 1 15.822 * [backup-simplify]: Simplify (/ -1 1) into -1 15.822 * [backup-simplify]: Simplify (* -1 -1) into 1 15.822 * [backup-simplify]: Simplify (+ 0 1) into 1 15.822 * [backup-simplify]: Simplify (sqrt 1) into 1 15.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.824 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.824 * [backup-simplify]: Simplify (+ 0 0) into 0 15.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.825 * [backup-simplify]: Simplify (* 1 1) into 1 15.825 * [backup-simplify]: Simplify (* 1 1) into 1 15.825 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.825 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 15.825 * [taylor]: Taking taylor expansion of 1/8 in x 15.825 * [backup-simplify]: Simplify 1/8 into 1/8 15.825 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 15.825 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.826 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.826 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.826 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.826 * [taylor]: Taking taylor expansion of 1 in x 15.826 * [backup-simplify]: Simplify 1 into 1 15.826 * [taylor]: Taking taylor expansion of 1 in x 15.826 * [backup-simplify]: Simplify 1 into 1 15.826 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.826 * [taylor]: Taking taylor expansion of -1 in x 15.826 * [backup-simplify]: Simplify -1 into -1 15.826 * [taylor]: Taking taylor expansion of x in x 15.826 * [backup-simplify]: Simplify 0 into 0 15.826 * [backup-simplify]: Simplify 1 into 1 15.826 * [backup-simplify]: Simplify (/ -1 1) into -1 15.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.826 * [taylor]: Taking taylor expansion of -1 in x 15.826 * [backup-simplify]: Simplify -1 into -1 15.826 * [taylor]: Taking taylor expansion of x in x 15.826 * [backup-simplify]: Simplify 0 into 0 15.826 * [backup-simplify]: Simplify 1 into 1 15.827 * [backup-simplify]: Simplify (/ -1 1) into -1 15.827 * [backup-simplify]: Simplify (* -1 -1) into 1 15.827 * [backup-simplify]: Simplify (+ 0 1) into 1 15.827 * [backup-simplify]: Simplify (sqrt 1) into 1 15.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.829 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.829 * [backup-simplify]: Simplify (+ 0 0) into 0 15.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.830 * [backup-simplify]: Simplify (* 1 1) into 1 15.830 * [backup-simplify]: Simplify (* 1 1) into 1 15.830 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 15.830 * [backup-simplify]: Simplify 1/8 into 1/8 15.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 15.831 * [backup-simplify]: Simplify 0 into 0 15.832 * [backup-simplify]: Simplify (* 1 1) into 1 15.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.834 * [backup-simplify]: Simplify (+ 1 0) into 1 15.834 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.835 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.835 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 15.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 15.836 * [backup-simplify]: Simplify -3/16 into -3/16 15.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.839 * [backup-simplify]: Simplify (+ 0 0) into 0 15.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 15.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 15.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 15.842 * [backup-simplify]: Simplify 0 into 0 15.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 15.844 * [backup-simplify]: Simplify (+ 0 0) into 0 15.845 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.846 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 15.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 15.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 15.848 * [backup-simplify]: Simplify 15/64 into 15/64 15.848 * [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))))) 15.848 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 15.849 * [backup-simplify]: Simplify (/ (- 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)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) 15.849 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) in (x) around 0 15.849 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) in x 15.849 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 15.849 * [taylor]: Taking taylor expansion of 1/8 in x 15.849 * [backup-simplify]: Simplify 1/8 into 1/8 15.849 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 15.849 * [taylor]: Taking taylor expansion of 1/8 in x 15.849 * [backup-simplify]: Simplify 1/8 into 1/8 15.849 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 15.849 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 15.849 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.849 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.849 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.849 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.849 * [taylor]: Taking taylor expansion of 1 in x 15.849 * [backup-simplify]: Simplify 1 into 1 15.849 * [taylor]: Taking taylor expansion of 1 in x 15.849 * [backup-simplify]: Simplify 1 into 1 15.849 * [taylor]: Taking taylor expansion of (* x x) in x 15.849 * [taylor]: Taking taylor expansion of x in x 15.849 * [backup-simplify]: Simplify 0 into 0 15.849 * [backup-simplify]: Simplify 1 into 1 15.849 * [taylor]: Taking taylor expansion of x in x 15.849 * [backup-simplify]: Simplify 0 into 0 15.849 * [backup-simplify]: Simplify 1 into 1 15.849 * [backup-simplify]: Simplify (* 1 1) into 1 15.850 * [backup-simplify]: Simplify (* 0 0) into 0 15.850 * [backup-simplify]: Simplify (+ 1 0) into 1 15.850 * [backup-simplify]: Simplify (sqrt 1) into 1 15.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.851 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.851 * [backup-simplify]: Simplify (+ 0 0) into 0 15.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.852 * [backup-simplify]: Simplify (* 1 1) into 1 15.852 * [backup-simplify]: Simplify (* 1 1) into 1 15.852 * [backup-simplify]: Simplify (/ 1 1) into 1 15.852 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4) in x 15.852 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x))) 1/4) 15.852 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x))) in x 15.852 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.853 * [taylor]: Taking taylor expansion of 1/2 in x 15.853 * [backup-simplify]: Simplify 1/2 into 1/2 15.853 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.853 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.853 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.853 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.853 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.853 * [taylor]: Taking taylor expansion of 1 in x 15.853 * [backup-simplify]: Simplify 1 into 1 15.853 * [taylor]: Taking taylor expansion of 1 in x 15.853 * [backup-simplify]: Simplify 1 into 1 15.853 * [taylor]: Taking taylor expansion of (* x x) in x 15.853 * [taylor]: Taking taylor expansion of x in x 15.853 * [backup-simplify]: Simplify 0 into 0 15.853 * [backup-simplify]: Simplify 1 into 1 15.853 * [taylor]: Taking taylor expansion of x in x 15.853 * [backup-simplify]: Simplify 0 into 0 15.853 * [backup-simplify]: Simplify 1 into 1 15.853 * [backup-simplify]: Simplify (* 1 1) into 1 15.853 * [backup-simplify]: Simplify (* 0 0) into 0 15.854 * [backup-simplify]: Simplify (+ 1 0) into 1 15.854 * [backup-simplify]: Simplify (sqrt 1) into 1 15.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.855 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.855 * [backup-simplify]: Simplify (+ 0 0) into 0 15.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.856 * [backup-simplify]: Simplify (/ 1 1) into 1 15.856 * [taylor]: Taking taylor expansion of 1/2 in x 15.856 * [backup-simplify]: Simplify 1/2 into 1/2 15.856 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 15.856 * [taylor]: Taking taylor expansion of 1/2 in x 15.856 * [backup-simplify]: Simplify 1/2 into 1/2 15.856 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.856 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.856 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.856 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.856 * [taylor]: Taking taylor expansion of 1 in x 15.856 * [backup-simplify]: Simplify 1 into 1 15.856 * [taylor]: Taking taylor expansion of 1 in x 15.856 * [backup-simplify]: Simplify 1 into 1 15.856 * [taylor]: Taking taylor expansion of (* x x) in x 15.856 * [taylor]: Taking taylor expansion of x in x 15.856 * [backup-simplify]: Simplify 0 into 0 15.856 * [backup-simplify]: Simplify 1 into 1 15.856 * [taylor]: Taking taylor expansion of x in x 15.856 * [backup-simplify]: Simplify 0 into 0 15.856 * [backup-simplify]: Simplify 1 into 1 15.856 * [backup-simplify]: Simplify (* 1 1) into 1 15.856 * [backup-simplify]: Simplify (* 0 0) into 0 15.857 * [backup-simplify]: Simplify (+ 1 0) into 1 15.857 * [backup-simplify]: Simplify (sqrt 1) into 1 15.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.864 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.865 * [backup-simplify]: Simplify (+ 0 0) into 0 15.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.866 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.866 * [taylor]: Taking taylor expansion of 1/4 in x 15.866 * [backup-simplify]: Simplify 1/4 into 1/4 15.867 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 15.867 * [backup-simplify]: Simplify (- 1/8) into -1/8 15.868 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 15.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.870 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 15.871 * [backup-simplify]: Simplify (- 0) into 0 15.871 * [backup-simplify]: Simplify (+ 0 0) into 0 15.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.874 * [backup-simplify]: Simplify (+ 0 1) into 1 15.875 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.876 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.877 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 15.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 15.878 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 15.878 * [backup-simplify]: Simplify (- -3/16) into 3/16 15.879 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 15.879 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.879 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.880 * [backup-simplify]: Simplify (* 1 1/2) into 1/2 15.880 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 15.880 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 15.880 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) in x 15.880 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 15.880 * [taylor]: Taking taylor expansion of 1/8 in x 15.880 * [backup-simplify]: Simplify 1/8 into 1/8 15.880 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 15.880 * [taylor]: Taking taylor expansion of 1/8 in x 15.880 * [backup-simplify]: Simplify 1/8 into 1/8 15.880 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 15.880 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 15.880 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.880 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.880 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.880 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.880 * [taylor]: Taking taylor expansion of 1 in x 15.880 * [backup-simplify]: Simplify 1 into 1 15.880 * [taylor]: Taking taylor expansion of 1 in x 15.881 * [backup-simplify]: Simplify 1 into 1 15.881 * [taylor]: Taking taylor expansion of (* x x) in x 15.881 * [taylor]: Taking taylor expansion of x in x 15.881 * [backup-simplify]: Simplify 0 into 0 15.881 * [backup-simplify]: Simplify 1 into 1 15.881 * [taylor]: Taking taylor expansion of x in x 15.881 * [backup-simplify]: Simplify 0 into 0 15.881 * [backup-simplify]: Simplify 1 into 1 15.881 * [backup-simplify]: Simplify (* 1 1) into 1 15.881 * [backup-simplify]: Simplify (* 0 0) into 0 15.881 * [backup-simplify]: Simplify (+ 1 0) into 1 15.882 * [backup-simplify]: Simplify (sqrt 1) into 1 15.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.883 * [backup-simplify]: Simplify (+ 0 0) into 0 15.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.883 * [backup-simplify]: Simplify (* 1 1) into 1 15.884 * [backup-simplify]: Simplify (* 1 1) into 1 15.884 * [backup-simplify]: Simplify (/ 1 1) into 1 15.884 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x)) 1/4) in x 15.884 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x))) 1/4) 15.884 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (/ 1/2 (hypot 1 x))) in x 15.884 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.884 * [taylor]: Taking taylor expansion of 1/2 in x 15.884 * [backup-simplify]: Simplify 1/2 into 1/2 15.884 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.884 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.884 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.884 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.884 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.884 * [taylor]: Taking taylor expansion of 1 in x 15.884 * [backup-simplify]: Simplify 1 into 1 15.884 * [taylor]: Taking taylor expansion of 1 in x 15.884 * [backup-simplify]: Simplify 1 into 1 15.884 * [taylor]: Taking taylor expansion of (* x x) in x 15.884 * [taylor]: Taking taylor expansion of x in x 15.884 * [backup-simplify]: Simplify 0 into 0 15.884 * [backup-simplify]: Simplify 1 into 1 15.884 * [taylor]: Taking taylor expansion of x in x 15.884 * [backup-simplify]: Simplify 0 into 0 15.884 * [backup-simplify]: Simplify 1 into 1 15.884 * [backup-simplify]: Simplify (* 1 1) into 1 15.885 * [backup-simplify]: Simplify (* 0 0) into 0 15.885 * [backup-simplify]: Simplify (+ 1 0) into 1 15.885 * [backup-simplify]: Simplify (sqrt 1) into 1 15.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.886 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.886 * [backup-simplify]: Simplify (+ 0 0) into 0 15.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.887 * [backup-simplify]: Simplify (/ 1 1) into 1 15.887 * [taylor]: Taking taylor expansion of 1/2 in x 15.887 * [backup-simplify]: Simplify 1/2 into 1/2 15.887 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 15.887 * [taylor]: Taking taylor expansion of 1/2 in x 15.887 * [backup-simplify]: Simplify 1/2 into 1/2 15.887 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.887 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.887 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.887 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.887 * [taylor]: Taking taylor expansion of 1 in x 15.887 * [backup-simplify]: Simplify 1 into 1 15.887 * [taylor]: Taking taylor expansion of 1 in x 15.887 * [backup-simplify]: Simplify 1 into 1 15.887 * [taylor]: Taking taylor expansion of (* x x) in x 15.887 * [taylor]: Taking taylor expansion of x in x 15.887 * [backup-simplify]: Simplify 0 into 0 15.887 * [backup-simplify]: Simplify 1 into 1 15.887 * [taylor]: Taking taylor expansion of x in x 15.887 * [backup-simplify]: Simplify 0 into 0 15.887 * [backup-simplify]: Simplify 1 into 1 15.887 * [backup-simplify]: Simplify (* 1 1) into 1 15.888 * [backup-simplify]: Simplify (* 0 0) into 0 15.888 * [backup-simplify]: Simplify (+ 1 0) into 1 15.888 * [backup-simplify]: Simplify (sqrt 1) into 1 15.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.889 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.889 * [backup-simplify]: Simplify (+ 0 0) into 0 15.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.890 * [taylor]: Taking taylor expansion of 1/4 in x 15.890 * [backup-simplify]: Simplify 1/4 into 1/4 15.890 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 15.890 * [backup-simplify]: Simplify (- 1/8) into -1/8 15.891 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 15.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.892 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 15.893 * [backup-simplify]: Simplify (- 0) into 0 15.893 * [backup-simplify]: Simplify (+ 0 0) into 0 15.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.894 * [backup-simplify]: Simplify (+ 0 1) into 1 15.895 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.895 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 15.896 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 15.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 15.897 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 15.897 * [backup-simplify]: Simplify (- -3/16) into 3/16 15.898 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 15.898 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.898 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.898 * [backup-simplify]: Simplify (* 1 1/2) into 1/2 15.899 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 15.899 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 15.899 * [backup-simplify]: Simplify 1/4 into 1/4 15.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.900 * [backup-simplify]: Simplify (+ 0 0) into 0 15.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 15.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 15.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 15.904 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 15.904 * [backup-simplify]: Simplify (- 0) into 0 15.905 * [backup-simplify]: Simplify (+ 0 0) into 0 15.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.906 * [backup-simplify]: Simplify (+ 0 0) into 0 15.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/2)) into 0 15.907 * [backup-simplify]: Simplify (+ 0 0) into 0 15.907 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)))) into 0 15.907 * [backup-simplify]: Simplify 0 into 0 15.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.909 * [backup-simplify]: Simplify (+ 0 0) into 0 15.910 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.911 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 15.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 15.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 15.914 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 15.914 * [backup-simplify]: Simplify (- 15/64) into -15/64 15.914 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 15.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.915 * [backup-simplify]: Simplify (+ 0 1) into 1 15.916 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 15.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.918 * [backup-simplify]: Simplify (+ 0 1) into 1 15.918 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.920 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.920 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 15.920 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1/2))) into -3/8 15.921 * [backup-simplify]: Simplify (+ -3/8 0) into -3/8 15.922 * [backup-simplify]: Simplify (- (/ -15/64 3/4) (+ (* 1/4 (/ -3/8 3/4)) (* 0 (/ 0 3/4)))) into -3/16 15.922 * [backup-simplify]: Simplify -3/16 into -3/16 15.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.923 * [backup-simplify]: Simplify (+ 0 0) into 0 15.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 15.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 15.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 15.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 15.930 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 15.931 * [backup-simplify]: Simplify (- 0) into 0 15.931 * [backup-simplify]: Simplify (+ 0 0) into 0 15.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.934 * [backup-simplify]: Simplify (+ 0 0) into 0 15.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 15.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.939 * [backup-simplify]: Simplify (+ 0 0) into 0 15.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 15.943 * [backup-simplify]: Simplify (+ 0 0) into 0 15.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1/2)))) into 0 15.945 * [backup-simplify]: Simplify (+ 0 0) into 0 15.947 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)) (* 0 (/ -3/8 3/4)) (* -3/16 (/ 0 3/4)))) into 0 15.947 * [backup-simplify]: Simplify 0 into 0 15.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 15.951 * [backup-simplify]: Simplify (+ 0 0) into 0 15.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 15.955 * [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 15.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 15.960 * [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 15.963 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 15.963 * [backup-simplify]: Simplify (- -35/128) into 35/128 15.964 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 15.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.966 * [backup-simplify]: Simplify (+ 0 0) into 0 15.967 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 15.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.976 * [backup-simplify]: Simplify (+ 0 0) into 0 15.977 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.979 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 15.979 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 15.980 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1/2))))) into 11/32 15.981 * [backup-simplify]: Simplify (+ 11/32 0) into 11/32 15.982 * [backup-simplify]: Simplify (- (/ 35/128 3/4) (+ (* 1/4 (/ 11/32 3/4)) (* 0 (/ 0 3/4)) (* -3/16 (/ -3/8 3/4)) (* 0 (/ 0 3/4)))) into 5/32 15.982 * [backup-simplify]: Simplify 5/32 into 5/32 15.982 * [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))) 15.982 * [backup-simplify]: Simplify (/ (- 1/8 (/ (/ 1/8 (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x)))) (hypot 1 (/ 1 x)))) (fma (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) 15.982 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) in (x) around 0 15.982 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) in x 15.982 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 15.982 * [taylor]: Taking taylor expansion of 1/8 in x 15.982 * [backup-simplify]: Simplify 1/8 into 1/8 15.982 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 15.983 * [taylor]: Taking taylor expansion of 1/8 in x 15.983 * [backup-simplify]: Simplify 1/8 into 1/8 15.983 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 15.983 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 15.983 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.983 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.983 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.983 * [taylor]: Taking taylor expansion of 1 in x 15.983 * [backup-simplify]: Simplify 1 into 1 15.983 * [taylor]: Taking taylor expansion of 1 in x 15.983 * [backup-simplify]: Simplify 1 into 1 15.983 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.983 * [taylor]: Taking taylor expansion of x in x 15.983 * [backup-simplify]: Simplify 0 into 0 15.983 * [backup-simplify]: Simplify 1 into 1 15.983 * [backup-simplify]: Simplify (/ 1 1) into 1 15.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.983 * [taylor]: Taking taylor expansion of x in x 15.983 * [backup-simplify]: Simplify 0 into 0 15.983 * [backup-simplify]: Simplify 1 into 1 15.983 * [backup-simplify]: Simplify (/ 1 1) into 1 15.984 * [backup-simplify]: Simplify (* 1 1) into 1 15.984 * [backup-simplify]: Simplify (+ 0 1) into 1 15.984 * [backup-simplify]: Simplify (sqrt 1) into 1 15.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.986 * [backup-simplify]: Simplify (+ 0 0) into 0 15.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.986 * [backup-simplify]: Simplify (* 1 1) into 1 15.987 * [backup-simplify]: Simplify (* 1 1) into 1 15.987 * [backup-simplify]: Simplify (/ 1 1) into 1 15.987 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4) in x 15.987 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) 1/4) 15.987 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) in x 15.987 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.987 * [taylor]: Taking taylor expansion of 1/2 in x 15.987 * [backup-simplify]: Simplify 1/2 into 1/2 15.987 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.987 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.987 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.987 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.987 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.987 * [taylor]: Taking taylor expansion of 1 in x 15.987 * [backup-simplify]: Simplify 1 into 1 15.987 * [taylor]: Taking taylor expansion of 1 in x 15.987 * [backup-simplify]: Simplify 1 into 1 15.987 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.987 * [taylor]: Taking taylor expansion of x in x 15.987 * [backup-simplify]: Simplify 0 into 0 15.987 * [backup-simplify]: Simplify 1 into 1 15.987 * [backup-simplify]: Simplify (/ 1 1) into 1 15.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.987 * [taylor]: Taking taylor expansion of x in x 15.987 * [backup-simplify]: Simplify 0 into 0 15.987 * [backup-simplify]: Simplify 1 into 1 15.988 * [backup-simplify]: Simplify (/ 1 1) into 1 15.988 * [backup-simplify]: Simplify (* 1 1) into 1 15.988 * [backup-simplify]: Simplify (+ 0 1) into 1 15.988 * [backup-simplify]: Simplify (sqrt 1) into 1 15.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.990 * [backup-simplify]: Simplify (+ 0 0) into 0 15.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.991 * [backup-simplify]: Simplify (/ 1 1) into 1 15.991 * [taylor]: Taking taylor expansion of 1/2 in x 15.991 * [backup-simplify]: Simplify 1/2 into 1/2 15.991 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 15.991 * [taylor]: Taking taylor expansion of 1/2 in x 15.991 * [backup-simplify]: Simplify 1/2 into 1/2 15.991 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.991 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.991 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.991 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.991 * [taylor]: Taking taylor expansion of 1 in x 15.991 * [backup-simplify]: Simplify 1 into 1 15.991 * [taylor]: Taking taylor expansion of 1 in x 15.991 * [backup-simplify]: Simplify 1 into 1 15.991 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.991 * [taylor]: Taking taylor expansion of x in x 15.991 * [backup-simplify]: Simplify 0 into 0 15.991 * [backup-simplify]: Simplify 1 into 1 15.991 * [backup-simplify]: Simplify (/ 1 1) into 1 15.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.991 * [taylor]: Taking taylor expansion of x in x 15.991 * [backup-simplify]: Simplify 0 into 0 15.991 * [backup-simplify]: Simplify 1 into 1 15.992 * [backup-simplify]: Simplify (/ 1 1) into 1 15.992 * [backup-simplify]: Simplify (* 1 1) into 1 15.992 * [backup-simplify]: Simplify (+ 0 1) into 1 15.992 * [backup-simplify]: Simplify (sqrt 1) into 1 15.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.995 * [backup-simplify]: Simplify (+ 0 0) into 0 15.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.996 * [taylor]: Taking taylor expansion of 1/4 in x 15.996 * [backup-simplify]: Simplify 1/4 into 1/4 15.996 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 15.997 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 15.997 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 15.997 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4)) in x 15.997 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 15.998 * [taylor]: Taking taylor expansion of 1/8 in x 15.998 * [backup-simplify]: Simplify 1/8 into 1/8 15.998 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 15.998 * [taylor]: Taking taylor expansion of 1/8 in x 15.998 * [backup-simplify]: Simplify 1/8 into 1/8 15.998 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 15.998 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 15.998 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.998 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.998 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.998 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.998 * [taylor]: Taking taylor expansion of 1 in x 15.998 * [backup-simplify]: Simplify 1 into 1 15.998 * [taylor]: Taking taylor expansion of 1 in x 15.998 * [backup-simplify]: Simplify 1 into 1 15.998 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.998 * [taylor]: Taking taylor expansion of x in x 15.998 * [backup-simplify]: Simplify 0 into 0 15.998 * [backup-simplify]: Simplify 1 into 1 15.999 * [backup-simplify]: Simplify (/ 1 1) into 1 15.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.999 * [taylor]: Taking taylor expansion of x in x 15.999 * [backup-simplify]: Simplify 0 into 0 15.999 * [backup-simplify]: Simplify 1 into 1 15.999 * [backup-simplify]: Simplify (/ 1 1) into 1 16.000 * [backup-simplify]: Simplify (* 1 1) into 1 16.000 * [backup-simplify]: Simplify (+ 0 1) into 1 16.000 * [backup-simplify]: Simplify (sqrt 1) into 1 16.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.003 * [backup-simplify]: Simplify (+ 0 0) into 0 16.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.005 * [backup-simplify]: Simplify (* 1 1) into 1 16.005 * [backup-simplify]: Simplify (* 1 1) into 1 16.005 * [backup-simplify]: Simplify (/ 1 1) into 1 16.005 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x))) 1/4) in x 16.006 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) 1/4) 16.006 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) in x 16.006 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 16.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 16.006 * [taylor]: Taking taylor expansion of 1/2 in x 16.006 * [backup-simplify]: Simplify 1/2 into 1/2 16.006 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 16.006 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 16.006 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 16.006 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 16.006 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.006 * [taylor]: Taking taylor expansion of 1 in x 16.006 * [backup-simplify]: Simplify 1 into 1 16.006 * [taylor]: Taking taylor expansion of 1 in x 16.006 * [backup-simplify]: Simplify 1 into 1 16.006 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 16.006 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.006 * [taylor]: Taking taylor expansion of x in x 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [backup-simplify]: Simplify 1 into 1 16.007 * [backup-simplify]: Simplify (/ 1 1) into 1 16.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.007 * [taylor]: Taking taylor expansion of x in x 16.007 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify 1 into 1 16.007 * [backup-simplify]: Simplify (/ 1 1) into 1 16.008 * [backup-simplify]: Simplify (* 1 1) into 1 16.008 * [backup-simplify]: Simplify (+ 0 1) into 1 16.008 * [backup-simplify]: Simplify (sqrt 1) into 1 16.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.011 * [backup-simplify]: Simplify (+ 0 0) into 0 16.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.012 * [backup-simplify]: Simplify (/ 1 1) into 1 16.012 * [taylor]: Taking taylor expansion of 1/2 in x 16.012 * [backup-simplify]: Simplify 1/2 into 1/2 16.012 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 16.012 * [taylor]: Taking taylor expansion of 1/2 in x 16.012 * [backup-simplify]: Simplify 1/2 into 1/2 16.012 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 16.012 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 16.012 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 16.012 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.012 * [taylor]: Taking taylor expansion of 1 in x 16.012 * [backup-simplify]: Simplify 1 into 1 16.012 * [taylor]: Taking taylor expansion of 1 in x 16.012 * [backup-simplify]: Simplify 1 into 1 16.012 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 16.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.012 * [taylor]: Taking taylor expansion of x in x 16.012 * [backup-simplify]: Simplify 0 into 0 16.013 * [backup-simplify]: Simplify 1 into 1 16.013 * [backup-simplify]: Simplify (/ 1 1) into 1 16.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.013 * [taylor]: Taking taylor expansion of x in x 16.013 * [backup-simplify]: Simplify 0 into 0 16.013 * [backup-simplify]: Simplify 1 into 1 16.013 * [backup-simplify]: Simplify (/ 1 1) into 1 16.014 * [backup-simplify]: Simplify (* 1 1) into 1 16.014 * [backup-simplify]: Simplify (+ 0 1) into 1 16.014 * [backup-simplify]: Simplify (sqrt 1) into 1 16.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.017 * [backup-simplify]: Simplify (+ 0 0) into 0 16.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.018 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.018 * [taylor]: Taking taylor expansion of 1/4 in x 16.018 * [backup-simplify]: Simplify 1/4 into 1/4 16.018 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 16.019 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 16.019 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 16.019 * [backup-simplify]: Simplify 1/2 into 1/2 16.020 * [backup-simplify]: Simplify (+ 0 0) into 0 16.020 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 16.021 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 16.021 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 16.022 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)))) into -1/2 16.022 * [backup-simplify]: Simplify -1/2 into -1/2 16.022 * [backup-simplify]: Simplify (+ 0 0) into 0 16.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.024 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.024 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 16.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 1/2 1/2)) into 1/4 16.025 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 16.026 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)) (* -1/2 (/ 1/4 1/4)))) into 0 16.026 * [backup-simplify]: Simplify 0 into 0 16.027 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 16.027 * [backup-simplify]: Simplify (- 1/8) into -1/8 16.027 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 16.028 * [backup-simplify]: Simplify (* 1 1) into 1 16.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.031 * [backup-simplify]: Simplify (+ 1 0) into 1 16.032 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 16.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 16.035 * [backup-simplify]: Simplify (+ 0 0) into 0 16.036 * [backup-simplify]: Simplify (+ (* 1/2 -1/4) (+ (* 1/2 0) (* 0 1/2))) into -1/8 16.036 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 16.038 * [backup-simplify]: Simplify (- (/ -1/8 1/4) (+ (* 1/2 (/ -1/8 1/4)) (* -1/2 (/ 1/4 1/4)) (* 0 (/ 1/4 1/4)))) into 1/4 16.038 * [backup-simplify]: Simplify 1/4 into 1/4 16.038 * [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))) 16.039 * [backup-simplify]: Simplify (/ (- 1/8 (/ (/ 1/8 (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x))))) (hypot 1 (/ 1 (- x))))) (fma (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/4)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4)) 16.039 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4)) in (x) around 0 16.039 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4)) in x 16.039 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 16.039 * [taylor]: Taking taylor expansion of 1/8 in x 16.039 * [backup-simplify]: Simplify 1/8 into 1/8 16.039 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 16.039 * [taylor]: Taking taylor expansion of 1/8 in x 16.039 * [backup-simplify]: Simplify 1/8 into 1/8 16.039 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 16.039 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 16.039 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.039 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.039 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.039 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.039 * [taylor]: Taking taylor expansion of 1 in x 16.039 * [backup-simplify]: Simplify 1 into 1 16.039 * [taylor]: Taking taylor expansion of 1 in x 16.039 * [backup-simplify]: Simplify 1 into 1 16.039 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.039 * [taylor]: Taking taylor expansion of -1 in x 16.039 * [backup-simplify]: Simplify -1 into -1 16.039 * [taylor]: Taking taylor expansion of x in x 16.039 * [backup-simplify]: Simplify 0 into 0 16.039 * [backup-simplify]: Simplify 1 into 1 16.040 * [backup-simplify]: Simplify (/ -1 1) into -1 16.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.040 * [taylor]: Taking taylor expansion of -1 in x 16.040 * [backup-simplify]: Simplify -1 into -1 16.040 * [taylor]: Taking taylor expansion of x in x 16.040 * [backup-simplify]: Simplify 0 into 0 16.040 * [backup-simplify]: Simplify 1 into 1 16.040 * [backup-simplify]: Simplify (/ -1 1) into -1 16.041 * [backup-simplify]: Simplify (* -1 -1) into 1 16.041 * [backup-simplify]: Simplify (+ 0 1) into 1 16.041 * [backup-simplify]: Simplify (sqrt 1) into 1 16.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.044 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.044 * [backup-simplify]: Simplify (+ 0 0) into 0 16.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.045 * [backup-simplify]: Simplify (* 1 1) into 1 16.045 * [backup-simplify]: Simplify (* 1 1) into 1 16.046 * [backup-simplify]: Simplify (/ 1 1) into 1 16.046 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4) in x 16.046 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x)))) 1/4) 16.046 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x)))) in x 16.046 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 16.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 16.046 * [taylor]: Taking taylor expansion of 1/2 in x 16.046 * [backup-simplify]: Simplify 1/2 into 1/2 16.046 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.046 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.046 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.046 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.046 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.046 * [taylor]: Taking taylor expansion of 1 in x 16.046 * [backup-simplify]: Simplify 1 into 1 16.046 * [taylor]: Taking taylor expansion of 1 in x 16.046 * [backup-simplify]: Simplify 1 into 1 16.046 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.046 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.046 * [taylor]: Taking taylor expansion of -1 in x 16.046 * [backup-simplify]: Simplify -1 into -1 16.046 * [taylor]: Taking taylor expansion of x in x 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 1 into 1 16.047 * [backup-simplify]: Simplify (/ -1 1) into -1 16.047 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.047 * [taylor]: Taking taylor expansion of -1 in x 16.047 * [backup-simplify]: Simplify -1 into -1 16.047 * [taylor]: Taking taylor expansion of x in x 16.047 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify 1 into 1 16.047 * [backup-simplify]: Simplify (/ -1 1) into -1 16.048 * [backup-simplify]: Simplify (* -1 -1) into 1 16.048 * [backup-simplify]: Simplify (+ 0 1) into 1 16.048 * [backup-simplify]: Simplify (sqrt 1) into 1 16.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.051 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.051 * [backup-simplify]: Simplify (+ 0 0) into 0 16.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.052 * [backup-simplify]: Simplify (/ 1 1) into 1 16.052 * [taylor]: Taking taylor expansion of 1/2 in x 16.052 * [backup-simplify]: Simplify 1/2 into 1/2 16.052 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 16.052 * [taylor]: Taking taylor expansion of 1/2 in x 16.052 * [backup-simplify]: Simplify 1/2 into 1/2 16.052 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.052 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.052 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.052 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.052 * [taylor]: Taking taylor expansion of 1 in x 16.052 * [backup-simplify]: Simplify 1 into 1 16.052 * [taylor]: Taking taylor expansion of 1 in x 16.052 * [backup-simplify]: Simplify 1 into 1 16.052 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.052 * [taylor]: Taking taylor expansion of -1 in x 16.052 * [backup-simplify]: Simplify -1 into -1 16.052 * [taylor]: Taking taylor expansion of x in x 16.053 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify 1 into 1 16.053 * [backup-simplify]: Simplify (/ -1 1) into -1 16.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.053 * [taylor]: Taking taylor expansion of -1 in x 16.053 * [backup-simplify]: Simplify -1 into -1 16.053 * [taylor]: Taking taylor expansion of x in x 16.053 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify 1 into 1 16.053 * [backup-simplify]: Simplify (/ -1 1) into -1 16.054 * [backup-simplify]: Simplify (* -1 -1) into 1 16.054 * [backup-simplify]: Simplify (+ 0 1) into 1 16.055 * [backup-simplify]: Simplify (sqrt 1) into 1 16.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.057 * [backup-simplify]: Simplify (+ 0 0) into 0 16.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.058 * [taylor]: Taking taylor expansion of 1/4 in x 16.058 * [backup-simplify]: Simplify 1/4 into 1/4 16.058 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 16.058 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 16.059 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 16.059 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4)) in x 16.059 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 16.059 * [taylor]: Taking taylor expansion of 1/8 in x 16.059 * [backup-simplify]: Simplify 1/8 into 1/8 16.059 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 16.059 * [taylor]: Taking taylor expansion of 1/8 in x 16.059 * [backup-simplify]: Simplify 1/8 into 1/8 16.059 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 16.059 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 16.059 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.059 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.059 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.059 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.059 * [taylor]: Taking taylor expansion of 1 in x 16.059 * [backup-simplify]: Simplify 1 into 1 16.059 * [taylor]: Taking taylor expansion of 1 in x 16.059 * [backup-simplify]: Simplify 1 into 1 16.059 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.059 * [taylor]: Taking taylor expansion of -1 in x 16.059 * [backup-simplify]: Simplify -1 into -1 16.059 * [taylor]: Taking taylor expansion of x in x 16.059 * [backup-simplify]: Simplify 0 into 0 16.059 * [backup-simplify]: Simplify 1 into 1 16.059 * [backup-simplify]: Simplify (/ -1 1) into -1 16.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.059 * [taylor]: Taking taylor expansion of -1 in x 16.059 * [backup-simplify]: Simplify -1 into -1 16.059 * [taylor]: Taking taylor expansion of x in x 16.059 * [backup-simplify]: Simplify 0 into 0 16.059 * [backup-simplify]: Simplify 1 into 1 16.060 * [backup-simplify]: Simplify (/ -1 1) into -1 16.060 * [backup-simplify]: Simplify (* -1 -1) into 1 16.060 * [backup-simplify]: Simplify (+ 0 1) into 1 16.060 * [backup-simplify]: Simplify (sqrt 1) into 1 16.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.062 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.062 * [backup-simplify]: Simplify (+ 0 0) into 0 16.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.063 * [backup-simplify]: Simplify (* 1 1) into 1 16.063 * [backup-simplify]: Simplify (* 1 1) into 1 16.063 * [backup-simplify]: Simplify (/ 1 1) into 1 16.063 * [taylor]: Taking taylor expansion of (fma (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x))) 1/4) in x 16.063 * [taylor]: Rewrote expression to (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x)))) 1/4) 16.063 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (/ 1/2 (hypot 1 (/ -1 x)))) in x 16.063 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 16.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 16.063 * [taylor]: Taking taylor expansion of 1/2 in x 16.063 * [backup-simplify]: Simplify 1/2 into 1/2 16.063 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.063 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.063 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.063 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.063 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.063 * [taylor]: Taking taylor expansion of 1 in x 16.063 * [backup-simplify]: Simplify 1 into 1 16.063 * [taylor]: Taking taylor expansion of 1 in x 16.064 * [backup-simplify]: Simplify 1 into 1 16.064 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.064 * [taylor]: Taking taylor expansion of -1 in x 16.064 * [backup-simplify]: Simplify -1 into -1 16.064 * [taylor]: Taking taylor expansion of x in x 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify 1 into 1 16.064 * [backup-simplify]: Simplify (/ -1 1) into -1 16.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.064 * [taylor]: Taking taylor expansion of -1 in x 16.064 * [backup-simplify]: Simplify -1 into -1 16.064 * [taylor]: Taking taylor expansion of x in x 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify 1 into 1 16.064 * [backup-simplify]: Simplify (/ -1 1) into -1 16.065 * [backup-simplify]: Simplify (* -1 -1) into 1 16.065 * [backup-simplify]: Simplify (+ 0 1) into 1 16.065 * [backup-simplify]: Simplify (sqrt 1) into 1 16.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.067 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.067 * [backup-simplify]: Simplify (+ 0 0) into 0 16.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.068 * [backup-simplify]: Simplify (/ 1 1) into 1 16.068 * [taylor]: Taking taylor expansion of 1/2 in x 16.068 * [backup-simplify]: Simplify 1/2 into 1/2 16.068 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 16.068 * [taylor]: Taking taylor expansion of 1/2 in x 16.068 * [backup-simplify]: Simplify 1/2 into 1/2 16.068 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.068 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.068 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.068 * [taylor]: Taking taylor expansion of 1 in x 16.068 * [backup-simplify]: Simplify 1 into 1 16.068 * [taylor]: Taking taylor expansion of 1 in x 16.068 * [backup-simplify]: Simplify 1 into 1 16.068 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.068 * [taylor]: Taking taylor expansion of -1 in x 16.068 * [backup-simplify]: Simplify -1 into -1 16.068 * [taylor]: Taking taylor expansion of x in x 16.068 * [backup-simplify]: Simplify 0 into 0 16.068 * [backup-simplify]: Simplify 1 into 1 16.068 * [backup-simplify]: Simplify (/ -1 1) into -1 16.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.068 * [taylor]: Taking taylor expansion of -1 in x 16.068 * [backup-simplify]: Simplify -1 into -1 16.068 * [taylor]: Taking taylor expansion of x in x 16.068 * [backup-simplify]: Simplify 0 into 0 16.068 * [backup-simplify]: Simplify 1 into 1 16.069 * [backup-simplify]: Simplify (/ -1 1) into -1 16.069 * [backup-simplify]: Simplify (* -1 -1) into 1 16.069 * [backup-simplify]: Simplify (+ 0 1) into 1 16.069 * [backup-simplify]: Simplify (sqrt 1) into 1 16.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.071 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.071 * [backup-simplify]: Simplify (+ 0 0) into 0 16.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.072 * [taylor]: Taking taylor expansion of 1/4 in x 16.072 * [backup-simplify]: Simplify 1/4 into 1/4 16.072 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 16.072 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 16.073 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 16.073 * [backup-simplify]: Simplify 1/2 into 1/2 16.073 * [backup-simplify]: Simplify (+ 0 0) into 0 16.073 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 16.073 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 16.074 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 16.074 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)))) into -1/2 16.074 * [backup-simplify]: Simplify -1/2 into -1/2 16.074 * [backup-simplify]: Simplify (+ 0 0) into 0 16.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.075 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 16.076 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 16.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 1/2 1/2)) into 1/4 16.076 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 16.077 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)) (* -1/2 (/ 1/4 1/4)))) into 0 16.077 * [backup-simplify]: Simplify 0 into 0 16.077 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 16.077 * [backup-simplify]: Simplify (- 1/8) into -1/8 16.078 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 16.078 * [backup-simplify]: Simplify (* 1 1) into 1 16.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.080 * [backup-simplify]: Simplify (+ 1 0) into 1 16.080 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 16.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 16.082 * [backup-simplify]: Simplify (+ 0 0) into 0 16.083 * [backup-simplify]: Simplify (+ (* 1/2 -1/4) (+ (* 1/2 0) (* 0 1/2))) into -1/8 16.083 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 16.084 * [backup-simplify]: Simplify (- (/ -1/8 1/4) (+ (* 1/2 (/ -1/8 1/4)) (* -1/2 (/ 1/4 1/4)) (* 0 (/ 1/4 1/4)))) into 1/4 16.084 * [backup-simplify]: Simplify 1/4 into 1/4 16.084 * [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)))) 16.084 * * * [progress]: simplifying candidates 16.084 * * * * [progress]: [ 1 / 233 ] simplifiying candidate # 16.084 * * * * [progress]: [ 2 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 3 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 4 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 5 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 6 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 7 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 8 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 9 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 10 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 11 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 12 / 233 ] simplifiying candidate # 16.085 * * * * [progress]: [ 13 / 233 ] simplifiying candidate # 16.086 * * * * [progress]: [ 14 / 233 ] simplifiying candidate # 16.086 * * * * [progress]: [ 15 / 233 ] simplifiying candidate # 16.086 * * * * [progress]: [ 16 / 233 ] simplifiying candidate # 16.086 * * * * [progress]: [ 17 / 233 ] simplifiying candidate # 16.086 * * * * [progress]: [ 18 / 233 ] simplifiying candidate # 16.086 * * * * [progress]: [ 19 / 233 ] simplifiying candidate # 16.086 * * * * [progress]: [ 20 / 233 ] simplifiying candidate # 16.086 * * * * [progress]: 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candidate # 16.087 * * * * [progress]: [ 37 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 38 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 39 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 40 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 41 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 42 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 43 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 44 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 45 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 46 / 233 ] simplifiying candidate # 16.087 * * * * [progress]: [ 47 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 48 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 49 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 50 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 51 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 52 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 53 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 54 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 55 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 56 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 57 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 58 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 59 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 60 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 61 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 62 / 233 ] simplifiying candidate # 16.088 * * * * [progress]: [ 63 / 233 ] simplifiying candidate # 16.089 * * * * [progress]: [ 64 / 233 ] simplifiying candidate # 16.089 * * * * [progress]: [ 65 / 233 ] simplifiying candidate # 16.089 * * * * [progress]: [ 66 / 233 ] simplifiying candidate # 16.089 * * * * [progress]: [ 67 / 233 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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 (hypot 1 x)) 1/2)))))> 16.091 * * * * [progress]: [ 98 / 233 ] simplifiying candidate # 16.091 * * * * [progress]: [ 99 / 233 ] simplifiying candidate # 16.091 * * * * [progress]: [ 100 / 233 ] simplifiying candidate # 16.091 * * * * [progress]: [ 101 / 233 ] simplifiying candidate # 16.091 * * * * [progress]: [ 102 / 233 ] simplifiying candidate # 16.092 * * * * [progress]: [ 103 / 233 ] simplifiying candidate # 16.092 * * * * [progress]: [ 104 / 233 ] simplifiying candidate # 16.092 * * * * [progress]: [ 105 / 233 ] simplifiying candidate # 16.092 * * * * [progress]: [ 106 / 233 ] simplifiying candidate # 16.092 * * * * [progress]: [ 107 / 233 ] simplifiying candidate # 16.092 * * * * [progress]: [ 108 / 233 ] simplifiying candidate # 16.092 * * * * [progress]: [ 109 / 233 ] simplifiying candidate # 16.092 * * * * [progress]: [ 110 / 233 ] 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candidate # 16.492 * * * * [progress]: [ 223 / 233 ] simplifiying candidate # 16.492 * * * * [progress]: [ 224 / 233 ] simplifiying candidate # 16.492 * * * * [progress]: [ 225 / 233 ] simplifiying candidate # 16.492 * * * * [progress]: [ 226 / 233 ] simplifiying candidate # 16.492 * * * * [progress]: [ 227 / 233 ] simplifiying candidate # 16.492 * * * * [progress]: [ 228 / 233 ] simplifiying candidate # 16.492 * * * * [progress]: [ 229 / 233 ] simplifiying candidate # 16.493 * * * * [progress]: [ 230 / 233 ] simplifiying candidate # 16.493 * * * * [progress]: [ 231 / 233 ] simplifiying candidate # 16.493 * * * * [progress]: [ 232 / 233 ] simplifiying candidate # 16.493 * * * * [progress]: [ 233 / 233 ] simplifiying candidate # 16.504 * [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 (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x)))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (sqrt (hypot 1 x))) (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (sqrt (hypot 1 x))))) (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)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) 1)))) (fma (- (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) 1) (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) 1))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x)))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (* (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (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)))) 1)))) (fma (- (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) 1) (* (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) 1))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (/ (cbrt 1/8) (hypot 1 x)) (cbrt (hypot 1 x))) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (cbrt 1/8) (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (/ (cbrt 1/8) (hypot 1 x)) (cbrt (hypot 1 x))) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (/ (cbrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x))) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (cbrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x)))) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) (sqrt (hypot 1 x))) (* (/ (/ (cbrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x))) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) (sqrt (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)) 1)))) (fma (- (/ (/ (cbrt 1/8) (hypot 1 x)) (hypot 1 x))) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) 1) (* (/ (/ (cbrt 1/8) (hypot 1 x)) (hypot 1 x)) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (hypot 1 x)) 1))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (/ (sqrt 1/8) (hypot 1 x)) (cbrt (hypot 1 x))) (/ (/ (sqrt 1/8) (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (/ (sqrt 1/8) (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ (sqrt 1/8) (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (/ (sqrt 1/8) (hypot 1 x)) (cbrt (hypot 1 x))) (/ (/ (sqrt 1/8) (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (/ (sqrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x))) (/ (/ (sqrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x)))))) (fma (- (/ (/ (sqrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x)))) (/ (/ (sqrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x))) (* (/ (/ (sqrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x))) (/ (/ (sqrt 1/8) (hypot 1 x)) 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cost 200 inf + 0 17.473 * * [simplify]: Extracting #1: cost 696 inf + 3 17.481 * * [simplify]: Extracting #2: cost 1145 inf + 914 17.491 * * [simplify]: Extracting #3: cost 1141 inf + 8226 17.511 * * [simplify]: Extracting #4: cost 932 inf + 44298 17.582 * * [simplify]: Extracting #5: cost 391 inf + 198123 17.677 * * [simplify]: Extracting #6: cost 14 inf + 340222 17.794 * * [simplify]: Extracting #7: cost 0 inf + 345545 17.898 * [simplify]: Simplified to: (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (- (* (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8)) (* (/ (cbrt (/ (/ 1/8 (hypot 1 x)) (hypot 1 x))) (cbrt (hypot 1 x))) (* (/ 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(hypot 1 x)))))) (/ (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4) (- 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) (- (sqrt 1/8) (sqrt (/ (/ 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) (- (sqrt 1/8) (/ (sqrt (/ (/ 1/8 (hypot 1 x)) (hypot 1 x))) (sqrt (hypot 1 x))))) (/ (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4) (- (sqrt 1/8) (/ (/ (sqrt 1/8) (hypot 1 x)) (sqrt (hypot 1 x))))) (/ (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (+ 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 1/64) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4)) (* (+ 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)) (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))) (fma 3/16 (* x x) (fma (* (* (* x x) x) (* (* x x) x)) 35/128 (* (* (* x x) (* x x)) -15/64))) (+ (/ 3/16 (pow x 5)) (- 1/8 (/ 1/8 (* (* x x) x)))) (+ (/ -3/16 (pow x 5)) (+ 1/8 (/ 1/8 (* (* x x) x)))) (+ (fma 1/8 (* (* x x) (* x x)) 1/8) (* (* x x) -1/8)) (+ (/ 1/8 (* x x)) (- (/ 1/8 (* (* (* x x) x) (* (* x x) x))) (/ 1/8 (* (* x x) (* x x))))) (+ (/ 1/8 (* x x)) (- (/ 1/8 (* (* (* x x) x) (* (* x x) x))) (/ 1/8 (* (* x x) (* x x))))) (fma (* (* x x) (* x x)) 15/64 (+ 1/8 (* (* x x) -3/16))) (+ (/ 1/8 (* (* x x) x)) (- (/ 15/64 (pow x 7)) (/ 3/16 (pow x 5)))) (- (- (/ 3/16 (pow x 5)) (/ 15/64 (pow x 7))) (/ 1/8 (* (* x x) x))) (fma 1/4 (* x x) (fma 5/32 (* (* (* x x) x) (* (* x x) x)) (* -3/16 (* (* x x) (* x x))))) (+ (- 1/2 (/ 1/2 x)) (/ 1/4 (* (* x x) x))) (- (+ (/ 1/2 x) 1/2) (/ 1/4 (* (* x x) x))) 17.988 * * * [progress]: adding candidates to table 21.220 * [progress]: [Phase 3 of 3] Extracting. 21.220 * * [regime]: Finding splitpoints for: (# # # # #) 21.223 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 21.223 * * * * [regimes]: Trying to branch on x from (# # # # #) 21.311 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # # #) 21.368 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 21.394 * * * [regime]: Found split indices: #