31.042 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.115 * * * [progress]: [2/2] Setting up program. 0.120 * [progress]: [Phase 2 of 3] Improving. 0.121 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.121 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.121 * * [simplify]: iteration 1: (9 enodes) 0.140 * * [simplify]: iteration 2: (19 enodes) 0.143 * * [simplify]: iteration 3: (23 enodes) 0.146 * * [simplify]: iteration 4: (25 enodes) 0.148 * * [simplify]: Extracting #0: cost 1 inf + 0 0.149 * * [simplify]: Extracting #1: cost 4 inf + 0 0.149 * * [simplify]: Extracting #2: cost 4 inf + 1 0.149 * * [simplify]: Extracting #3: cost 8 inf + 1 0.149 * * [simplify]: Extracting #4: cost 8 inf + 2 0.149 * * [simplify]: Extracting #5: cost 9 inf + 2 0.149 * * [simplify]: Extracting #6: cost 0 inf + 1204 0.149 * * [simplify]: Extracting #7: cost 0 inf + 1144 0.149 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.155 * * [progress]: iteration 1 / 4 0.155 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.217 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.222 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.236 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.236 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of 1/2 in x 0.236 * [backup-simplify]: Simplify 1/2 into 1/2 0.236 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.236 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.236 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (* x x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (* 0 0) into 0 0.237 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.238 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [taylor]: Taking taylor expansion of 1/2 in x 0.239 * [backup-simplify]: Simplify 1/2 into 1/2 0.239 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.239 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.240 * [backup-simplify]: Simplify (sqrt 1) into 1 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.243 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.243 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.243 * [taylor]: Taking taylor expansion of 1/2 in x 0.243 * [backup-simplify]: Simplify 1/2 into 1/2 0.243 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.243 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.243 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (* x x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [backup-simplify]: Simplify (* 0 0) into 0 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (sqrt 1) into 1 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of 1/2 in x 0.246 * [backup-simplify]: Simplify 1/2 into 1/2 0.246 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.247 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.247 * [backup-simplify]: Simplify (sqrt 1) into 1 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.249 * [backup-simplify]: Simplify (- 1) into -1 0.249 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.251 * [backup-simplify]: Simplify (+ 0 1) into 1 0.251 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.253 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.253 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.254 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.254 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.254 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.254 * [backup-simplify]: Simplify 1/8 into 1/8 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.264 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.264 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.265 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.265 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.266 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.266 * [backup-simplify]: Simplify -11/128 into -11/128 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.277 * [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 0.279 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.279 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.280 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.281 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.281 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.281 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.281 * [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))) 0.281 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.281 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.281 * [taylor]: Taking taylor expansion of 1 in x 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.282 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of 1/2 in x 0.282 * [backup-simplify]: Simplify 1/2 into 1/2 0.282 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.282 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.282 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.282 * [taylor]: Taking taylor expansion of 1 in x 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of 1 in x 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (+ 0 1) into 1 0.283 * [backup-simplify]: Simplify (sqrt 1) into 1 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of 1/2 in x 0.286 * [backup-simplify]: Simplify 1/2 into 1/2 0.286 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.286 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.286 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.287 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.287 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.288 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.288 * [taylor]: Taking taylor expansion of 1 in x 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.288 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of 1/2 in x 0.288 * [backup-simplify]: Simplify 1/2 into 1/2 0.288 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.288 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.288 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.288 * [taylor]: Taking taylor expansion of 1 in x 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of 1 in x 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (+ 0 1) into 1 0.289 * [backup-simplify]: Simplify (sqrt 1) into 1 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of 1/2 in x 0.291 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.292 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.292 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.292 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.293 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.294 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.295 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.295 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.296 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.298 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.300 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.305 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.308 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.314 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.317 * [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))) 0.317 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.317 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.317 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.317 * [taylor]: Taking taylor expansion of 1/2 in x 0.317 * [backup-simplify]: Simplify 1/2 into 1/2 0.317 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.317 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.317 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.317 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [backup-simplify]: Simplify (* -1 -1) into 1 0.319 * [backup-simplify]: Simplify (+ 0 1) into 1 0.319 * [backup-simplify]: Simplify (sqrt 1) into 1 0.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of 1/2 in x 0.321 * [backup-simplify]: Simplify 1/2 into 1/2 0.321 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.322 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.322 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.322 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.323 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.323 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.323 * [taylor]: Taking taylor expansion of 1/2 in x 0.324 * [backup-simplify]: Simplify 1/2 into 1/2 0.324 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.324 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.324 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.324 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.324 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.324 * [taylor]: Taking taylor expansion of 1 in x 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of 1 in x 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [backup-simplify]: Simplify -1 into -1 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ -1 1) into -1 0.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [backup-simplify]: Simplify -1 into -1 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ -1 1) into -1 0.325 * [backup-simplify]: Simplify (* -1 -1) into 1 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [backup-simplify]: Simplify (sqrt 1) into 1 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.327 * [backup-simplify]: Simplify 1/2 into 1/2 0.328 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.328 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.328 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.329 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.329 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.330 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.331 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.331 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.332 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.334 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.336 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.341 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.344 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.345 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.348 * [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)) 0.349 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.349 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.349 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1/2 in x 0.349 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.349 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.349 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.349 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (* x x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (* 0 0) into 0 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.350 * [backup-simplify]: Simplify (sqrt 1) into 1 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.352 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of 1/2 in x 0.352 * [backup-simplify]: Simplify 1/2 into 1/2 0.352 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.352 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.352 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.352 * [taylor]: Taking taylor expansion of 1 in x 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of 1 in x 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (* x x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (* 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [backup-simplify]: Simplify (sqrt 1) into 1 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.355 * [backup-simplify]: Simplify 1/2 into 1/2 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.357 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.358 * [backup-simplify]: Simplify -1/4 into -1/4 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.364 * [backup-simplify]: Simplify 3/16 into 3/16 0.364 * [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))) 0.364 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.365 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.365 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.365 * [taylor]: Taking taylor expansion of 1/2 in x 0.365 * [backup-simplify]: Simplify 1/2 into 1/2 0.365 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.365 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.365 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.365 * [taylor]: Taking taylor expansion of 1 in x 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [taylor]: Taking taylor expansion of 1 in x 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ 0 1) into 1 0.366 * [backup-simplify]: Simplify (sqrt 1) into 1 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.368 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of 1/2 in x 0.368 * [backup-simplify]: Simplify 1/2 into 1/2 0.368 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.368 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ 0 1) into 1 0.370 * [backup-simplify]: Simplify (sqrt 1) into 1 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.372 * [backup-simplify]: Simplify 1/2 into 1/2 0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.375 * [backup-simplify]: Simplify (+ 1 0) into 1 0.376 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.376 * [backup-simplify]: Simplify -1/4 into -1/4 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.385 * [backup-simplify]: Simplify 3/16 into 3/16 0.385 * [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)))) 0.385 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.385 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of 1/2 in x 0.385 * [backup-simplify]: Simplify 1/2 into 1/2 0.385 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.385 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.385 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [backup-simplify]: Simplify -1 into -1 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ -1 1) into -1 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [backup-simplify]: Simplify -1 into -1 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ -1 1) into -1 0.387 * [backup-simplify]: Simplify (* -1 -1) into 1 0.387 * [backup-simplify]: Simplify (+ 0 1) into 1 0.387 * [backup-simplify]: Simplify (sqrt 1) into 1 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.390 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of 1/2 in x 0.390 * [backup-simplify]: Simplify 1/2 into 1/2 0.390 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.390 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ -1 1) into -1 0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ -1 1) into -1 0.391 * [backup-simplify]: Simplify (* -1 -1) into 1 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.394 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.394 * [backup-simplify]: Simplify 1/2 into 1/2 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.403 * [backup-simplify]: Simplify -1/4 into -1/4 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.411 * [backup-simplify]: Simplify 3/16 into 3/16 0.412 * [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)))) 0.412 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.412 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.412 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.412 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.412 * [taylor]: Taking taylor expansion of 1/2 in x 0.412 * [backup-simplify]: Simplify 1/2 into 1/2 0.412 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.412 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.412 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.412 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.412 * [taylor]: Taking taylor expansion of 1 in x 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of 1 in x 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of (* x x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (* 0 0) into 0 0.413 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (sqrt 1) into 1 0.414 * [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 1) into 1 0.415 * [taylor]: Taking taylor expansion of 1/2 in x 0.415 * [backup-simplify]: Simplify 1/2 into 1/2 0.415 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.416 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.416 * [backup-simplify]: Simplify (sqrt 1) into 1 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.417 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of 1/2 in x 0.417 * [backup-simplify]: Simplify 1/2 into 1/2 0.417 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.417 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.417 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.417 * [taylor]: Taking taylor expansion of 1 in x 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of 1 in x 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (* x x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (* 0 0) into 0 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.419 * [backup-simplify]: Simplify (sqrt 1) into 1 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [taylor]: Taking taylor expansion of 1/2 in x 0.421 * [backup-simplify]: Simplify 1/2 into 1/2 0.421 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.422 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.422 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.427 * [backup-simplify]: Simplify (+ 0 1) into 1 0.428 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.430 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.431 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.432 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.432 * [backup-simplify]: Simplify -1/8 into -1/8 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.448 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.448 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.450 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.450 * [backup-simplify]: Simplify 11/128 into 11/128 0.450 * [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))) 0.450 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.450 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.450 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.450 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.451 * [taylor]: Taking taylor expansion of 1/2 in x 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.451 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.451 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.451 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.451 * [taylor]: Taking taylor expansion of 1 in x 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of 1 in x 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (+ 0 1) into 1 0.453 * [backup-simplify]: Simplify (sqrt 1) into 1 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of 1/2 in x 0.457 * [backup-simplify]: Simplify 1/2 into 1/2 0.457 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.458 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.458 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.459 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.460 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.460 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.460 * [taylor]: Taking taylor expansion of 1/2 in x 0.460 * [backup-simplify]: Simplify 1/2 into 1/2 0.460 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.460 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.460 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.460 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.460 * [taylor]: Taking taylor expansion of 1 in x 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (+ 0 1) into 1 0.463 * [backup-simplify]: Simplify (sqrt 1) into 1 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of 1/2 in x 0.466 * [backup-simplify]: Simplify 1/2 into 1/2 0.467 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.467 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.468 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.468 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.469 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.470 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.471 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.478 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.480 * [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))))) 0.480 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.480 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.480 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -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 (/ -1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.480 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 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 (* (/ -1 x) (/ -1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) 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 x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.481 * [backup-simplify]: Simplify (* -1 -1) into 1 0.482 * [backup-simplify]: Simplify (+ 0 1) into 1 0.482 * [backup-simplify]: Simplify (sqrt 1) into 1 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of 1/2 in x 0.484 * [backup-simplify]: Simplify 1/2 into 1/2 0.485 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.485 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.485 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.485 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.486 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.486 * [taylor]: Taking taylor expansion of 1/2 in x 0.486 * [backup-simplify]: Simplify 1/2 into 1/2 0.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.487 * [taylor]: Taking taylor expansion of 1 in x 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of 1 in x 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.487 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [backup-simplify]: Simplify -1 into -1 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ -1 1) into -1 0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.487 * [taylor]: Taking taylor expansion of -1 in x 0.487 * [backup-simplify]: Simplify -1 into -1 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ -1 1) into -1 0.488 * [backup-simplify]: Simplify (* -1 -1) into 1 0.488 * [backup-simplify]: Simplify (+ 0 1) into 1 0.488 * [backup-simplify]: Simplify (sqrt 1) into 1 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* -1 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 1) into 1 0.491 * [taylor]: Taking taylor expansion of 1/2 in x 0.491 * [backup-simplify]: Simplify 1/2 into 1/2 0.491 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.491 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.491 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.492 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.493 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.493 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.493 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.499 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.501 * [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)))))) 0.501 * * * [progress]: simplifying candidates 0.501 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 14 / 106 ] simplifiying candidate # 0.501 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 16 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 32 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 0.502 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 46 / 106 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.503 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 0.503 * * * * [progress]: [ 66 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 76 / 106 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.504 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 83 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 0.504 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 94 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 97 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.505 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 0.505 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 0.506 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma 1 1 (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 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1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (pow 1 3) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 3)) (+ (* 1 1) (+ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt 1) (sqrt (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 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 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) (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 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3))) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1 2) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.509 * * [simplify]: iteration 1: (198 enodes) 0.655 * * [simplify]: iteration 2: (440 enodes) 0.896 * * [simplify]: iteration 3: (978 enodes) 2.210 * * [simplify]: Extracting #0: cost 79 inf + 0 2.212 * * [simplify]: Extracting #1: cost 346 inf + 44 2.216 * * [simplify]: Extracting #2: cost 536 inf + 1112 2.222 * * [simplify]: Extracting #3: cost 431 inf + 17885 2.236 * * [simplify]: Extracting #4: cost 242 inf + 55478 2.257 * * [simplify]: Extracting #5: cost 159 inf + 77653 2.297 * * [simplify]: Extracting #6: cost 38 inf + 116826 2.343 * * [simplify]: Extracting #7: cost 4 inf + 130176 2.393 * * [simplify]: Extracting #8: cost 0 inf + 131639 2.433 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (fabs (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)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (fabs (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)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (fabs (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)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) 1/8)) (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- 1/4 (/ 1/4 (* (hypot 1 x) (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (* (* x (* x x)) (* x (* x x))) 69/1024 (fma (* x x) 1/8 (* -11/128 (* (* x x) (* x x))))) (- (+ (+ 1 (/ -1/4 (* (sqrt 1/2) x))) (/ 1/16 (* (* x x) (sqrt 1/2)))) (sqrt 1/2)) (+ (/ 1/4 (* (sqrt 1/2) x)) (+ (/ 1/16 (* (* x x) (sqrt 1/2))) (- 1 (sqrt 1/2)))) (fma -1/4 (* x x) (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (+ (/ 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 -1/8 (* x x) (fma 11/128 (* (* x x) (* x x)) 1)) (+ (- (sqrt 1/2) (/ 1/16 (* (* x x) (sqrt 1/2)))) (/ 1/4 (* (sqrt 1/2) x))) (+ (- (sqrt 1/2) (/ 1/16 (* (* x x) (sqrt 1/2)))) (/ -1/4 (* (sqrt 1/2) x))) 2.441 * * * [progress]: adding candidates to table 3.127 * * [progress]: iteration 2 / 4 3.127 * * * [progress]: picking best candidate 3.139 * * * * [pick]: Picked # 3.139 * * * [progress]: localizing error 3.179 * * * [progress]: generating rewritten candidates 3.179 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 3.289 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) 3.294 * * * [progress]: generating series expansions 3.295 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.295 * [backup-simplify]: Simplify (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 3.295 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 3.295 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 3.295 * [taylor]: Taking taylor expansion of 1 in x 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 3.295 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 3.295 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.295 * [taylor]: Taking taylor expansion of 1/2 in x 3.295 * [backup-simplify]: Simplify 1/2 into 1/2 3.295 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.295 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.295 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.295 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.295 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.295 * [taylor]: Taking taylor expansion of 1 in x 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [taylor]: Taking taylor expansion of 1 in x 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [taylor]: Taking taylor expansion of (* x x) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify (* 1 1) into 1 3.296 * [backup-simplify]: Simplify (* 0 0) into 0 3.296 * [backup-simplify]: Simplify (+ 1 0) into 1 3.297 * [backup-simplify]: Simplify (sqrt 1) into 1 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.297 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.298 * [backup-simplify]: Simplify (/ 1 1) into 1 3.298 * [taylor]: Taking taylor expansion of 1/2 in x 3.298 * [backup-simplify]: Simplify 1/2 into 1/2 3.298 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.299 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.299 * [backup-simplify]: Simplify (* 1 1) into 1 3.299 * [backup-simplify]: Simplify (* 1 1) into 1 3.299 * [backup-simplify]: Simplify (sqrt 1) into 1 3.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.302 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 3.302 * [taylor]: Taking taylor expansion of 1 in x 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 3.302 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 3.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.302 * [taylor]: Taking taylor expansion of 1/2 in x 3.302 * [backup-simplify]: Simplify 1/2 into 1/2 3.302 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.302 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.302 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.302 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.302 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.302 * [taylor]: Taking taylor expansion of 1 in x 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [taylor]: Taking taylor expansion of 1 in x 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [taylor]: Taking taylor expansion of (* x x) in x 3.302 * [taylor]: Taking taylor expansion of x in x 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [taylor]: Taking taylor expansion of x in x 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (* 1 1) into 1 3.303 * [backup-simplify]: Simplify (* 0 0) into 0 3.303 * [backup-simplify]: Simplify (+ 1 0) into 1 3.303 * [backup-simplify]: Simplify (sqrt 1) into 1 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.304 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.305 * [backup-simplify]: Simplify (/ 1 1) into 1 3.305 * [taylor]: Taking taylor expansion of 1/2 in x 3.305 * [backup-simplify]: Simplify 1/2 into 1/2 3.305 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.305 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.306 * [backup-simplify]: Simplify (* 1 1) into 1 3.306 * [backup-simplify]: Simplify (* 1 1) into 1 3.306 * [backup-simplify]: Simplify (sqrt 1) into 1 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.307 * [backup-simplify]: Simplify (+ 0 0) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.310 * [backup-simplify]: Simplify (- 1) into -1 3.310 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (- 0) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.313 * [backup-simplify]: Simplify (+ 0 1) into 1 3.314 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.316 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.317 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.318 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 3.319 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 3.320 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 3.320 * [backup-simplify]: Simplify (- -3/8) into 3/8 3.321 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 3.321 * [backup-simplify]: Simplify 3/8 into 3/8 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 3.332 * [backup-simplify]: Simplify (- 0) into 0 3.332 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.334 * [backup-simplify]: Simplify (+ 0 0) into 0 3.335 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.337 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.337 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.338 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 3.339 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 3.340 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 3.340 * [backup-simplify]: Simplify (- 39/128) into -39/128 3.341 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 3.341 * [backup-simplify]: Simplify -39/128 into -39/128 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.346 * [backup-simplify]: Simplify (+ 0 0) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 3.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 3.350 * [backup-simplify]: Simplify (- 0) into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.354 * [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 3.356 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.356 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 3.357 * [backup-simplify]: Simplify (+ (* 1 -5/32) (+ (* 0 0) (+ (* -1/4 3/16) (+ (* 0 0) (+ (* 3/16 -1/4) (+ (* 0 0) (* -5/32 1))))))) into -13/32 3.359 * [backup-simplify]: Simplify (+ (* 1 -13/32) (+ (* 0 0) (+ (* -1/4 7/16) (+ (* 0 0) (+ (* 3/16 -1/2) (+ (* 0 0) (* -5/32 1))))))) into -49/64 3.360 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 3.361 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 3.361 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 3.361 * [backup-simplify]: Simplify 275/1024 into 275/1024 3.362 * [backup-simplify]: Simplify (+ (* 275/1024 (pow x 6)) (+ (* -39/128 (pow x 4)) (* 3/8 (pow x 2)))) into (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) 3.362 * [backup-simplify]: Simplify (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 3.362 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 3.362 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 3.362 * [taylor]: Taking taylor expansion of 1 in x 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 3.362 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 3.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.362 * [taylor]: Taking taylor expansion of 1/2 in x 3.362 * [backup-simplify]: Simplify 1/2 into 1/2 3.362 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.362 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.362 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.362 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.363 * [taylor]: Taking taylor expansion of 1 in x 3.363 * [backup-simplify]: Simplify 1 into 1 3.363 * [taylor]: Taking taylor expansion of 1 in x 3.363 * [backup-simplify]: Simplify 1 into 1 3.363 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.363 * [taylor]: Taking taylor expansion of x in x 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 1 into 1 3.363 * [backup-simplify]: Simplify (/ 1 1) into 1 3.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.363 * [taylor]: Taking taylor expansion of x in x 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (/ 1 1) into 1 3.364 * [backup-simplify]: Simplify (* 1 1) into 1 3.364 * [backup-simplify]: Simplify (+ 0 1) into 1 3.365 * [backup-simplify]: Simplify (sqrt 1) into 1 3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.367 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [taylor]: Taking taylor expansion of 1/2 in x 3.368 * [backup-simplify]: Simplify 1/2 into 1/2 3.369 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.369 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.370 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.370 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.370 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.371 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.371 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.372 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.374 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.374 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 3.374 * [taylor]: Taking taylor expansion of 1 in x 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 3.374 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 3.374 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.374 * [taylor]: Taking taylor expansion of 1/2 in x 3.374 * [backup-simplify]: Simplify 1/2 into 1/2 3.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.374 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.374 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.374 * [taylor]: Taking taylor expansion of 1 in x 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [taylor]: Taking taylor expansion of 1 in x 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.374 * [taylor]: Taking taylor expansion of x in x 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (/ 1 1) into 1 3.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.375 * [taylor]: Taking taylor expansion of x in x 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.376 * [backup-simplify]: Simplify (+ 0 1) into 1 3.376 * [backup-simplify]: Simplify (sqrt 1) into 1 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.380 * [backup-simplify]: Simplify (/ 1 1) into 1 3.380 * [taylor]: Taking taylor expansion of 1/2 in x 3.380 * [backup-simplify]: Simplify 1/2 into 1/2 3.384 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.384 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.385 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.385 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.386 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.386 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.387 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.387 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.389 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.390 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 3.391 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 3.392 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 3.394 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.397 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.400 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 3.403 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 3.409 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 3.417 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.425 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.430 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.436 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 x) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 x)) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) 3.436 * [backup-simplify]: Simplify (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 3.436 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 3.436 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 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 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 3.436 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 3.436 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 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 3.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.437 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.437 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.437 * [taylor]: Taking taylor expansion of 1 in x 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [taylor]: Taking taylor expansion of 1 in x 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.437 * [taylor]: Taking taylor expansion of -1 in x 3.437 * [backup-simplify]: Simplify -1 into -1 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 3.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.437 * [taylor]: Taking taylor expansion of -1 in x 3.437 * [backup-simplify]: Simplify -1 into -1 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 (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.440 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.441 * [backup-simplify]: Simplify (/ 1 1) into 1 3.441 * [taylor]: Taking taylor expansion of 1/2 in x 3.441 * [backup-simplify]: Simplify 1/2 into 1/2 3.441 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.441 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.442 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.442 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.442 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.442 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.443 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.443 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.444 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.444 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 3.444 * [taylor]: Taking taylor expansion of 1 in x 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 3.444 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 3.444 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.444 * [taylor]: Taking taylor expansion of 1/2 in x 3.444 * [backup-simplify]: Simplify 1/2 into 1/2 3.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.444 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.444 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.444 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.444 * [taylor]: Taking taylor expansion of 1 in x 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [taylor]: Taking taylor expansion of 1 in x 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.444 * [taylor]: Taking taylor expansion of -1 in x 3.444 * [backup-simplify]: Simplify -1 into -1 3.444 * [taylor]: Taking taylor expansion of x in x 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (/ -1 1) into -1 3.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.445 * [taylor]: Taking taylor expansion of -1 in x 3.445 * [backup-simplify]: Simplify -1 into -1 3.445 * [taylor]: Taking taylor expansion of x in x 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (/ -1 1) into -1 3.445 * [backup-simplify]: Simplify (* -1 -1) into 1 3.446 * [backup-simplify]: Simplify (+ 0 1) into 1 3.446 * [backup-simplify]: Simplify (sqrt 1) into 1 3.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.448 * [taylor]: Taking taylor expansion of 1/2 in x 3.448 * [backup-simplify]: Simplify 1/2 into 1/2 3.448 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.449 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.449 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.449 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.450 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.450 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.450 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.450 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.451 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.452 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 3.453 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 3.453 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 3.455 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.457 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.458 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 3.462 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 3.467 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 3.476 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.484 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.490 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.496 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 (- x))) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) 3.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.496 * [backup-simplify]: Simplify (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 3.496 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 3.496 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.497 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.497 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.497 * [taylor]: Taking taylor expansion of 1/2 in x 3.497 * [backup-simplify]: Simplify 1/2 into 1/2 3.497 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.497 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.497 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.497 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.497 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.497 * [taylor]: Taking taylor expansion of 1 in x 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of 1 in x 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of (* x x) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (* 1 1) into 1 3.499 * [backup-simplify]: Simplify (* 0 0) into 0 3.499 * [backup-simplify]: Simplify (+ 1 0) into 1 3.499 * [backup-simplify]: Simplify (sqrt 1) into 1 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.500 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.500 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.501 * [backup-simplify]: Simplify (/ 1 1) into 1 3.501 * [taylor]: Taking taylor expansion of 1/2 in x 3.501 * [backup-simplify]: Simplify 1/2 into 1/2 3.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.501 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.502 * [backup-simplify]: Simplify (sqrt 1) into 1 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.503 * [backup-simplify]: Simplify (+ 0 0) into 0 3.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.503 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.503 * [taylor]: Taking taylor expansion of 1/2 in x 3.503 * [backup-simplify]: Simplify 1/2 into 1/2 3.503 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.503 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.503 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.503 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.503 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.503 * [taylor]: Taking taylor expansion of 1 in x 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [taylor]: Taking taylor expansion of 1 in x 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [taylor]: Taking taylor expansion of (* x x) in x 3.504 * [taylor]: Taking taylor expansion of x in x 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [taylor]: Taking taylor expansion of x in x 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (* 1 1) into 1 3.504 * [backup-simplify]: Simplify (* 0 0) into 0 3.504 * [backup-simplify]: Simplify (+ 1 0) into 1 3.505 * [backup-simplify]: Simplify (sqrt 1) into 1 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.505 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [taylor]: Taking taylor expansion of 1/2 in x 3.506 * [backup-simplify]: Simplify 1/2 into 1/2 3.506 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.506 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.506 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.506 * [taylor]: Taking taylor expansion of 1/2 in x 3.506 * [backup-simplify]: Simplify 1/2 into 1/2 3.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.506 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.506 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.507 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.507 * [taylor]: Taking taylor expansion of 1 in x 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [taylor]: Taking taylor expansion of 1 in x 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [taylor]: Taking taylor expansion of (* x x) in x 3.507 * [taylor]: Taking taylor expansion of x in x 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [taylor]: Taking taylor expansion of x in x 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify (* 0 0) into 0 3.507 * [backup-simplify]: Simplify (+ 1 0) into 1 3.508 * [backup-simplify]: Simplify (sqrt 1) into 1 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.508 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.509 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.509 * [backup-simplify]: Simplify (/ 1 1) into 1 3.509 * [taylor]: Taking taylor expansion of 1/2 in x 3.509 * [backup-simplify]: Simplify 1/2 into 1/2 3.510 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.510 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.510 * [backup-simplify]: Simplify (sqrt 1) into 1 3.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.512 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.512 * [taylor]: Taking taylor expansion of 1/2 in x 3.512 * [backup-simplify]: Simplify 1/2 into 1/2 3.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.512 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.512 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.512 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.512 * [taylor]: Taking taylor expansion of 1 in x 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of 1 in x 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of (* x x) in x 3.512 * [taylor]: Taking taylor expansion of x in x 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of x in x 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (* 1 1) into 1 3.512 * [backup-simplify]: Simplify (* 0 0) into 0 3.513 * [backup-simplify]: Simplify (+ 1 0) into 1 3.513 * [backup-simplify]: Simplify (sqrt 1) into 1 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.514 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [taylor]: Taking taylor expansion of 1/2 in x 3.515 * [backup-simplify]: Simplify 1/2 into 1/2 3.515 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.515 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.515 * [backup-simplify]: Simplify (+ 1 1) into 2 3.515 * [backup-simplify]: Simplify 2 into 2 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.518 * [backup-simplify]: Simplify (+ 0 1) into 1 3.519 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.520 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.521 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.522 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.524 * [backup-simplify]: Simplify (+ 0 1) into 1 3.525 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.527 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.528 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.528 * [backup-simplify]: Simplify (+ -1/8 -1/4) into -3/8 3.528 * [backup-simplify]: Simplify -3/8 into -3/8 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (+ 0 0) into 0 3.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.540 * [backup-simplify]: Simplify (+ 0 0) into 0 3.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (+ 0 0) into 0 3.545 * [backup-simplify]: Simplify (+ 0 0) into 0 3.545 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.549 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.553 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.553 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.555 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.557 * [backup-simplify]: Simplify (+ 0 0) into 0 3.559 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.562 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.563 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.563 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 3.563 * [backup-simplify]: Simplify 35/128 into 35/128 3.564 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 2)) into (- (+ (* 35/128 (pow x 4)) 2) (* 3/8 (pow x 2))) 3.564 * [backup-simplify]: Simplify (+ (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) 3.564 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in (x) around 0 3.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in x 3.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.564 * [taylor]: Taking taylor expansion of 1/2 in x 3.564 * [backup-simplify]: Simplify 1/2 into 1/2 3.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.564 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.564 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.564 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.564 * [taylor]: Taking taylor expansion of 1 in x 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [taylor]: Taking taylor expansion of 1 in x 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.564 * [taylor]: Taking taylor expansion of x in x 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.565 * [backup-simplify]: Simplify (/ 1 1) into 1 3.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.565 * [taylor]: Taking taylor expansion of x in x 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 1 into 1 3.565 * [backup-simplify]: Simplify (/ 1 1) into 1 3.566 * [backup-simplify]: Simplify (* 1 1) into 1 3.566 * [backup-simplify]: Simplify (+ 0 1) into 1 3.566 * [backup-simplify]: Simplify (sqrt 1) into 1 3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.569 * [backup-simplify]: Simplify (+ 0 0) into 0 3.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.570 * [backup-simplify]: Simplify (/ 1 1) into 1 3.570 * [taylor]: Taking taylor expansion of (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 3.570 * [taylor]: Taking taylor expansion of 1/2 in x 3.570 * [backup-simplify]: Simplify 1/2 into 1/2 3.570 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.570 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.570 * [taylor]: Taking taylor expansion of 1/2 in x 3.570 * [backup-simplify]: Simplify 1/2 into 1/2 3.570 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.570 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.570 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.570 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.570 * [taylor]: Taking taylor expansion of (* 1 1) 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 1 in x 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 3.571 * [backup-simplify]: Simplify (/ 1 1) into 1 3.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.571 * [taylor]: Taking taylor expansion of x in x 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [backup-simplify]: Simplify (/ 1 1) into 1 3.571 * [backup-simplify]: Simplify (* 1 1) into 1 3.572 * [backup-simplify]: Simplify (+ 0 1) into 1 3.572 * [backup-simplify]: Simplify (sqrt 1) into 1 3.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.575 * [backup-simplify]: Simplify (+ 0 0) into 0 3.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.576 * [backup-simplify]: Simplify (/ 1 1) into 1 3.576 * [taylor]: Taking taylor expansion of 1/2 in x 3.576 * [backup-simplify]: Simplify 1/2 into 1/2 3.576 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.577 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.577 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.577 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.579 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.579 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in x 3.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.579 * [taylor]: Taking taylor expansion of 1/2 in x 3.579 * [backup-simplify]: Simplify 1/2 into 1/2 3.579 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.579 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.580 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.580 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.580 * [taylor]: Taking taylor expansion of 1 in x 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of 1 in x 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.580 * [taylor]: Taking taylor expansion of x in x 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.580 * [taylor]: Taking taylor expansion of x in x 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (/ 1 1) into 1 3.581 * [backup-simplify]: Simplify (* 1 1) into 1 3.581 * [backup-simplify]: Simplify (+ 0 1) into 1 3.582 * [backup-simplify]: Simplify (sqrt 1) into 1 3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.584 * [backup-simplify]: Simplify (+ 0 0) into 0 3.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.585 * [backup-simplify]: Simplify (/ 1 1) into 1 3.585 * [taylor]: Taking taylor expansion of (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 3.585 * [taylor]: Taking taylor expansion of 1/2 in x 3.585 * [backup-simplify]: Simplify 1/2 into 1/2 3.585 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.585 * [taylor]: Taking taylor expansion of 1/2 in x 3.585 * [backup-simplify]: Simplify 1/2 into 1/2 3.585 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.585 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.585 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.585 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.585 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.586 * [taylor]: Taking taylor expansion of 1 in x 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [taylor]: Taking taylor expansion of 1 in x 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.586 * [taylor]: Taking taylor expansion of x in x 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (/ 1 1) into 1 3.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.586 * [taylor]: Taking taylor expansion of x in x 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (/ 1 1) into 1 3.587 * [backup-simplify]: Simplify (* 1 1) into 1 3.587 * [backup-simplify]: Simplify (+ 0 1) into 1 3.588 * [backup-simplify]: Simplify (sqrt 1) into 1 3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.591 * [backup-simplify]: Simplify (/ 1 1) into 1 3.591 * [taylor]: Taking taylor expansion of 1/2 in x 3.591 * [backup-simplify]: Simplify 1/2 into 1/2 3.592 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.592 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.592 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.593 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.594 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.595 * [backup-simplify]: Simplify (+ 1/2 (sqrt 1/2)) into (+ (sqrt 1/2) 1/2) 3.597 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 1/2)) into (+ (sqrt 1/2) 1/2) 3.598 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1/2) into (+ (sqrt 1/2) 1/2) 3.598 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.600 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (sqrt 1/2))) into (* 1/4 (/ 1 (sqrt 1/2))) 3.602 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 3.605 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.609 * [backup-simplify]: Simplify (+ 0 0) into 0 3.613 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.615 * [backup-simplify]: Simplify (+ 0 (/ -1/32 (pow (sqrt 1/2) 3))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.618 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.623 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.630 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (/ 1 x)) (+ (sqrt 1/2) 1/2))) into (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1/2))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 3.630 * [backup-simplify]: Simplify (+ (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) 3.630 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in (x) around 0 3.630 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in x 3.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.630 * [taylor]: Taking taylor expansion of 1/2 in x 3.630 * [backup-simplify]: Simplify 1/2 into 1/2 3.630 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.630 * [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 3.632 * [taylor]: Taking taylor expansion of x in x 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (/ -1 1) into -1 3.632 * [backup-simplify]: Simplify (* -1 -1) into 1 3.633 * [backup-simplify]: Simplify (+ 0 1) into 1 3.633 * [backup-simplify]: Simplify (sqrt 1) into 1 3.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.637 * [backup-simplify]: Simplify (/ 1 1) into 1 3.637 * [taylor]: Taking taylor expansion of (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 3.637 * [taylor]: Taking taylor expansion of 1/2 in x 3.637 * [backup-simplify]: Simplify 1/2 into 1/2 3.637 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.637 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.637 * [taylor]: Taking taylor expansion of 1/2 in x 3.637 * [backup-simplify]: Simplify 1/2 into 1/2 3.637 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.637 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.637 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.637 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.637 * [taylor]: Taking taylor expansion of (* 1 1) 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 1 in x 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 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 3.638 * [backup-simplify]: Simplify (/ -1 1) into -1 3.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.638 * [taylor]: Taking taylor expansion of -1 in x 3.638 * [backup-simplify]: Simplify -1 into -1 3.638 * [taylor]: Taking taylor expansion of x in x 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (/ -1 1) into -1 3.639 * [backup-simplify]: Simplify (* -1 -1) into 1 3.639 * [backup-simplify]: Simplify (+ 0 1) into 1 3.640 * [backup-simplify]: Simplify (sqrt 1) into 1 3.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.642 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.643 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.644 * [backup-simplify]: Simplify (/ 1 1) into 1 3.644 * [taylor]: Taking taylor expansion of 1/2 in x 3.644 * [backup-simplify]: Simplify 1/2 into 1/2 3.644 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.645 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.645 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.646 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.647 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.647 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in x 3.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.647 * [taylor]: Taking taylor expansion of 1/2 in x 3.647 * [backup-simplify]: Simplify 1/2 into 1/2 3.647 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.647 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.647 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.647 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.647 * [taylor]: Taking taylor expansion of 1 in x 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of 1 in x 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.648 * [taylor]: Taking taylor expansion of -1 in x 3.648 * [backup-simplify]: Simplify -1 into -1 3.648 * [taylor]: Taking taylor expansion of x in x 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (/ -1 1) into -1 3.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.648 * [taylor]: Taking taylor expansion of -1 in x 3.648 * [backup-simplify]: Simplify -1 into -1 3.648 * [taylor]: Taking taylor expansion of x in x 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (/ -1 1) into -1 3.648 * [backup-simplify]: Simplify (* -1 -1) into 1 3.649 * [backup-simplify]: Simplify (+ 0 1) into 1 3.649 * [backup-simplify]: Simplify (sqrt 1) into 1 3.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.651 * [backup-simplify]: Simplify (/ 1 1) into 1 3.651 * [taylor]: Taking taylor expansion of (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 3.651 * [taylor]: Taking taylor expansion of 1/2 in x 3.651 * [backup-simplify]: Simplify 1/2 into 1/2 3.651 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.651 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.651 * [taylor]: Taking taylor expansion of 1/2 in x 3.651 * [backup-simplify]: Simplify 1/2 into 1/2 3.651 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.651 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.652 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.652 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.652 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.652 * [taylor]: Taking taylor expansion of 1 in x 3.652 * [backup-simplify]: Simplify 1 into 1 3.652 * [taylor]: Taking taylor expansion of 1 in x 3.652 * [backup-simplify]: Simplify 1 into 1 3.652 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.652 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.652 * [taylor]: Taking taylor expansion of -1 in x 3.652 * [backup-simplify]: Simplify -1 into -1 3.652 * [taylor]: Taking taylor expansion of x in x 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 1 into 1 3.652 * [backup-simplify]: Simplify (/ -1 1) into -1 3.652 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.652 * [taylor]: Taking taylor expansion of -1 in x 3.652 * [backup-simplify]: Simplify -1 into -1 3.652 * [taylor]: Taking taylor expansion of x in x 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (/ -1 1) into -1 3.653 * [backup-simplify]: Simplify (* -1 -1) into 1 3.653 * [backup-simplify]: Simplify (+ 0 1) into 1 3.653 * [backup-simplify]: Simplify (sqrt 1) into 1 3.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.655 * [backup-simplify]: Simplify (+ 0 0) into 0 3.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.656 * [backup-simplify]: Simplify (/ 1 1) into 1 3.656 * [taylor]: Taking taylor expansion of 1/2 in x 3.656 * [backup-simplify]: Simplify 1/2 into 1/2 3.656 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.656 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.656 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.657 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.658 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.658 * [backup-simplify]: Simplify (+ 1/2 (sqrt 1/2)) into (+ (sqrt 1/2) 1/2) 3.659 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 1/2)) into (+ (sqrt 1/2) 1/2) 3.660 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1/2) into (+ (sqrt 1/2) 1/2) 3.660 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.661 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (sqrt 1/2))) into (* 1/4 (/ 1 (sqrt 1/2))) 3.662 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 3.664 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.666 * [backup-simplify]: Simplify (+ 0 0) into 0 3.670 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.672 * [backup-simplify]: Simplify (+ 0 (/ -1/32 (pow (sqrt 1/2) 3))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.677 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.681 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.689 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (/ 1 (- x))) (+ (sqrt 1/2) 1/2))) into (- (+ (sqrt 1/2) 1/2) (+ (* 1/2 (/ 1 x)) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) 3.690 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 3.690 * [backup-simplify]: Simplify (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 3.690 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 3.690 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 3.690 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 3.690 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.690 * [taylor]: Taking taylor expansion of 1/2 in x 3.690 * [backup-simplify]: Simplify 1/2 into 1/2 3.690 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.690 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.690 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.690 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.690 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.690 * [taylor]: Taking taylor expansion of 1 in x 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of 1 in x 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of (* x x) in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [taylor]: Taking taylor expansion of x in x 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (* 1 1) into 1 3.692 * [backup-simplify]: Simplify (* 0 0) into 0 3.692 * [backup-simplify]: Simplify (+ 1 0) into 1 3.693 * [backup-simplify]: Simplify (sqrt 1) into 1 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.694 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [taylor]: Taking taylor expansion of 1/2 in x 3.696 * [backup-simplify]: Simplify 1/2 into 1/2 3.696 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.697 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.697 * [backup-simplify]: Simplify (* 1 1) into 1 3.697 * [backup-simplify]: Simplify (* 1 1) into 1 3.698 * [backup-simplify]: Simplify (sqrt 1) into 1 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.700 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.702 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 3.702 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 3.702 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.703 * [taylor]: Taking taylor expansion of 1/2 in x 3.703 * [backup-simplify]: Simplify 1/2 into 1/2 3.703 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.703 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.703 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.703 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.703 * [taylor]: Taking taylor expansion of 1 in x 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [taylor]: Taking taylor expansion of 1 in x 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [taylor]: Taking taylor expansion of (* x x) in x 3.703 * [taylor]: Taking taylor expansion of x in x 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [taylor]: Taking taylor expansion of x in x 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (* 0 0) into 0 3.704 * [backup-simplify]: Simplify (+ 1 0) into 1 3.705 * [backup-simplify]: Simplify (sqrt 1) into 1 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.706 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.707 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.708 * [backup-simplify]: Simplify (/ 1 1) into 1 3.708 * [taylor]: Taking taylor expansion of 1/2 in x 3.708 * [backup-simplify]: Simplify 1/2 into 1/2 3.708 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.709 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.710 * [backup-simplify]: Simplify (* 1 1) into 1 3.710 * [backup-simplify]: Simplify (* 1 1) into 1 3.710 * [backup-simplify]: Simplify (sqrt 1) into 1 3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.717 * [backup-simplify]: Simplify (+ 0 1) into 1 3.718 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.720 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.721 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.722 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 3.723 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 3.724 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 3.724 * [backup-simplify]: Simplify -3/8 into -3/8 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.727 * [backup-simplify]: Simplify (+ 0 0) into 0 3.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (+ 0 0) into 0 3.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.740 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.743 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.744 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.746 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 3.748 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 3.751 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 3.751 * [backup-simplify]: Simplify 39/128 into 39/128 3.752 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 3.752 * [backup-simplify]: Simplify (* (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 3.752 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 3.752 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 3.752 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 3.752 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.752 * [taylor]: Taking taylor expansion of 1/2 in x 3.752 * [backup-simplify]: Simplify 1/2 into 1/2 3.752 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.752 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.752 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.752 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.752 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.752 * [taylor]: Taking taylor expansion of 1 in x 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [taylor]: Taking taylor expansion of 1 in x 3.753 * [backup-simplify]: Simplify 1 into 1 3.753 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (/ 1 1) into 1 3.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.754 * [taylor]: Taking taylor expansion of x in x 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (/ 1 1) into 1 3.754 * [backup-simplify]: Simplify (* 1 1) into 1 3.755 * [backup-simplify]: Simplify (+ 0 1) into 1 3.755 * [backup-simplify]: Simplify (sqrt 1) into 1 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.758 * [backup-simplify]: Simplify (+ 0 0) into 0 3.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.759 * [backup-simplify]: Simplify (/ 1 1) into 1 3.759 * [taylor]: Taking taylor expansion of 1/2 in x 3.759 * [backup-simplify]: Simplify 1/2 into 1/2 3.759 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.760 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.760 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.761 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.761 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.761 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.762 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.763 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.764 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.764 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 3.764 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 3.764 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.764 * [taylor]: Taking taylor expansion of 1/2 in x 3.764 * [backup-simplify]: Simplify 1/2 into 1/2 3.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.765 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.765 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.765 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.765 * [taylor]: Taking taylor expansion of 1 in x 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [taylor]: Taking taylor expansion of 1 in x 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.765 * [taylor]: Taking taylor expansion of x in x 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.765 * [taylor]: Taking taylor expansion of x in x 3.765 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.766 * [backup-simplify]: Simplify (* 1 1) into 1 3.767 * [backup-simplify]: Simplify (+ 0 1) into 1 3.767 * [backup-simplify]: Simplify (sqrt 1) into 1 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.771 * [backup-simplify]: Simplify (/ 1 1) into 1 3.771 * [taylor]: Taking taylor expansion of 1/2 in x 3.771 * [backup-simplify]: Simplify 1/2 into 1/2 3.771 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.772 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.772 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.772 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.773 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.773 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.774 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.775 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.776 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.777 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.778 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.780 * [backup-simplify]: Simplify (+ 0 0) into 0 3.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 3.781 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 3.787 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 3.795 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 3.803 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 3.804 * [backup-simplify]: Simplify (* (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 3.804 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 3.804 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 3.804 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 3.804 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.804 * [taylor]: Taking taylor expansion of 1/2 in x 3.804 * [backup-simplify]: Simplify 1/2 into 1/2 3.804 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.804 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.804 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.804 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.804 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.804 * [taylor]: Taking taylor expansion of 1 in x 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [taylor]: Taking taylor expansion of 1 in x 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.804 * [taylor]: Taking taylor expansion of -1 in x 3.804 * [backup-simplify]: Simplify -1 into -1 3.804 * [taylor]: Taking taylor expansion of x in x 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (/ -1 1) into -1 3.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.805 * [taylor]: Taking taylor expansion of -1 in x 3.805 * [backup-simplify]: Simplify -1 into -1 3.805 * [taylor]: Taking taylor expansion of x in x 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.806 * [backup-simplify]: Simplify (/ -1 1) into -1 3.806 * [backup-simplify]: Simplify (* -1 -1) into 1 3.807 * [backup-simplify]: Simplify (+ 0 1) into 1 3.807 * [backup-simplify]: Simplify (sqrt 1) into 1 3.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.810 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.811 * [backup-simplify]: Simplify (/ 1 1) into 1 3.811 * [taylor]: Taking taylor expansion of 1/2 in x 3.811 * [backup-simplify]: Simplify 1/2 into 1/2 3.812 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.812 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.812 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.813 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.813 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.814 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.814 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.815 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.817 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.817 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 3.817 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 3.817 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.817 * [taylor]: Taking taylor expansion of 1/2 in x 3.817 * [backup-simplify]: Simplify 1/2 into 1/2 3.817 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.817 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.817 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.817 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.817 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.817 * [taylor]: Taking taylor expansion of 1 in x 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [taylor]: Taking taylor expansion of 1 in x 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.817 * [taylor]: Taking taylor expansion of -1 in x 3.817 * [backup-simplify]: Simplify -1 into -1 3.817 * [taylor]: Taking taylor expansion of x in x 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (/ -1 1) into -1 3.818 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.818 * [taylor]: Taking taylor expansion of -1 in x 3.818 * [backup-simplify]: Simplify -1 into -1 3.818 * [taylor]: Taking taylor expansion of x in x 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (/ -1 1) into -1 3.819 * [backup-simplify]: Simplify (* -1 -1) into 1 3.819 * [backup-simplify]: Simplify (+ 0 1) into 1 3.819 * [backup-simplify]: Simplify (sqrt 1) into 1 3.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.822 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.822 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.824 * [backup-simplify]: Simplify (/ 1 1) into 1 3.824 * [taylor]: Taking taylor expansion of 1/2 in x 3.824 * [backup-simplify]: Simplify 1/2 into 1/2 3.824 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.824 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.825 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.825 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.826 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.826 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.827 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.827 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.829 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.829 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.830 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.832 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 3.834 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 3.838 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 3.842 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 3.847 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 3.847 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2) 3.847 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.847 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.847 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.847 * [taylor]: Taking taylor expansion of 1/2 in x 3.847 * [backup-simplify]: Simplify 1/2 into 1/2 3.847 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.847 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.847 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.847 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.847 * [taylor]: Taking taylor expansion of 1 in x 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [taylor]: Taking taylor expansion of 1 in x 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [taylor]: Taking taylor expansion of (* x x) in x 3.847 * [taylor]: Taking taylor expansion of x in x 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [taylor]: Taking taylor expansion of x in x 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (* 1 1) into 1 3.848 * [backup-simplify]: Simplify (* 0 0) into 0 3.848 * [backup-simplify]: Simplify (+ 1 0) into 1 3.848 * [backup-simplify]: Simplify (sqrt 1) into 1 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.849 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.850 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.850 * [taylor]: Taking taylor expansion of 1/2 in x 3.850 * [backup-simplify]: Simplify 1/2 into 1/2 3.850 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.850 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.850 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.850 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.850 * [taylor]: Taking taylor expansion of 1 in x 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [taylor]: Taking taylor expansion of 1 in x 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [taylor]: Taking taylor expansion of (* x x) in x 3.850 * [taylor]: Taking taylor expansion of x in x 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [taylor]: Taking taylor expansion of x in x 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (* 1 1) into 1 3.851 * [backup-simplify]: Simplify (* 0 0) into 0 3.851 * [backup-simplify]: Simplify (+ 1 0) into 1 3.851 * [backup-simplify]: Simplify (sqrt 1) into 1 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.852 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.853 * [backup-simplify]: Simplify 1/2 into 1/2 3.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.855 * [backup-simplify]: Simplify (+ 0 1) into 1 3.856 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.856 * [backup-simplify]: Simplify -1/4 into -1/4 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.861 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.863 * [backup-simplify]: Simplify 3/16 into 3/16 3.863 * [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))) 3.863 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.863 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.863 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.863 * [taylor]: Taking taylor expansion of 1/2 in x 3.863 * [backup-simplify]: Simplify 1/2 into 1/2 3.863 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.863 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.863 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.863 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.863 * [taylor]: Taking taylor expansion of 1 in x 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [taylor]: Taking taylor expansion of 1 in x 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.863 * [taylor]: Taking taylor expansion of x in x 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ 1 1) into 1 3.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.864 * [taylor]: Taking taylor expansion of x in x 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ 1 1) into 1 3.864 * [backup-simplify]: Simplify (* 1 1) into 1 3.864 * [backup-simplify]: Simplify (+ 0 1) into 1 3.865 * [backup-simplify]: Simplify (sqrt 1) into 1 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.866 * [backup-simplify]: Simplify (+ 0 0) into 0 3.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.867 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.867 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.867 * [taylor]: Taking taylor expansion of 1/2 in x 3.867 * [backup-simplify]: Simplify 1/2 into 1/2 3.867 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.867 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.867 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.867 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.867 * [taylor]: Taking taylor expansion of 1 in x 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [taylor]: Taking taylor expansion of 1 in x 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [backup-simplify]: Simplify (* 1 1) into 1 3.868 * [backup-simplify]: Simplify (+ 0 1) into 1 3.868 * [backup-simplify]: Simplify (sqrt 1) into 1 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.872 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.872 * [backup-simplify]: Simplify 1/2 into 1/2 3.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (* 1 1) into 1 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.875 * [backup-simplify]: Simplify (+ 1 0) into 1 3.876 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.877 * [backup-simplify]: Simplify -1/4 into -1/4 3.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.891 * [backup-simplify]: Simplify 3/16 into 3/16 3.891 * [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)))) 3.892 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.892 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.892 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.892 * [taylor]: Taking taylor expansion of 1/2 in x 3.892 * [backup-simplify]: Simplify 1/2 into 1/2 3.892 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.892 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.892 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.892 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.892 * [taylor]: Taking taylor expansion of 1 in x 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [taylor]: Taking taylor expansion of 1 in x 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.892 * [taylor]: Taking taylor expansion of -1 in x 3.892 * [backup-simplify]: Simplify -1 into -1 3.892 * [taylor]: Taking taylor expansion of x in x 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (/ -1 1) into -1 3.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.893 * [taylor]: Taking taylor expansion of -1 in x 3.893 * [backup-simplify]: Simplify -1 into -1 3.893 * [taylor]: Taking taylor expansion of x in x 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (/ -1 1) into -1 3.894 * [backup-simplify]: Simplify (* -1 -1) into 1 3.894 * [backup-simplify]: Simplify (+ 0 1) into 1 3.895 * [backup-simplify]: Simplify (sqrt 1) into 1 3.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.899 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.899 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.899 * [taylor]: Taking taylor expansion of 1/2 in x 3.899 * [backup-simplify]: Simplify 1/2 into 1/2 3.899 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.899 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.899 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.899 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.899 * [taylor]: Taking taylor expansion of 1 in x 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of 1 in x 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.899 * [taylor]: Taking taylor expansion of -1 in x 3.899 * [backup-simplify]: Simplify -1 into -1 3.899 * [taylor]: Taking taylor expansion of x in x 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (/ -1 1) into -1 3.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.900 * [taylor]: Taking taylor expansion of -1 in x 3.900 * [backup-simplify]: Simplify -1 into -1 3.900 * [taylor]: Taking taylor expansion of x in x 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (/ -1 1) into -1 3.901 * [backup-simplify]: Simplify (* -1 -1) into 1 3.901 * [backup-simplify]: Simplify (+ 0 1) into 1 3.902 * [backup-simplify]: Simplify (sqrt 1) into 1 3.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.906 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.906 * [backup-simplify]: Simplify 1/2 into 1/2 3.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.907 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify (* 1 1) into 1 3.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.911 * [backup-simplify]: Simplify (+ 1 0) into 1 3.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.914 * [backup-simplify]: Simplify -1/4 into -1/4 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.919 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.927 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.930 * [backup-simplify]: Simplify 3/16 into 3/16 3.931 * [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)))) 3.931 * * * [progress]: simplifying candidates 3.931 * * * * [progress]: [ 1 / 131 ] simplifiying candidate # 3.931 * * * * [progress]: [ 2 / 131 ] simplifiying candidate # 3.931 * * * * [progress]: [ 3 / 131 ] simplifiying candidate # 3.931 * * * * [progress]: [ 4 / 131 ] simplifiying candidate # 3.931 * * * * [progress]: [ 5 / 131 ] simplifiying candidate # 3.931 * * * * [progress]: [ 6 / 131 ] simplifiying candidate # 3.931 * * * * [progress]: [ 7 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 8 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 9 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 10 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 11 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 12 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 13 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 14 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 15 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 16 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 17 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 18 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 19 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 20 / 131 ] simplifiying candidate # 3.932 * * * * [progress]: [ 21 / 131 ] simplifiying candidate #real (real->posit16 (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 3.932 * * * * [progress]: [ 22 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 23 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 24 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 25 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 26 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 27 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 28 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 29 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 30 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 31 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 32 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 33 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 34 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 35 / 131 ] simplifiying candidate # 3.933 * * * * [progress]: [ 36 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 37 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 38 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 39 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 40 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 41 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 42 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 43 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 44 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 45 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 46 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 47 / 131 ] simplifiying candidate # 3.934 * * * * [progress]: [ 48 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 49 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 50 / 131 ] simplifiying candidate #real (real->posit16 (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1)))> 3.935 * * * * [progress]: [ 51 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 52 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 53 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 54 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 55 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 56 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 57 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 58 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 59 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 60 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 61 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 62 / 131 ] simplifiying candidate # 3.935 * * * * [progress]: [ 63 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 64 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 65 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 66 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 67 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 68 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 69 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 70 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 71 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 72 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 73 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 74 / 131 ] simplifiying candidate # 3.936 * * * * [progress]: [ 75 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 76 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 77 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 78 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 79 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 80 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 81 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 82 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 83 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 84 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 85 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 86 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 87 / 131 ] simplifiying candidate # 3.937 * * * * [progress]: [ 88 / 131 ] simplifiying candidate #real (real->posit16 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 3.938 * * * * [progress]: [ 89 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 90 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 91 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 92 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 93 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 94 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 95 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 96 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 97 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 98 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 99 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 100 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 101 / 131 ] simplifiying candidate # 3.938 * * * * [progress]: [ 102 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 103 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 104 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 105 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 106 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 107 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 108 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 109 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 110 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 111 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 112 / 131 ] simplifiying candidate # 3.939 * * * * [progress]: [ 113 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 114 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 115 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 116 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 117 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 118 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 119 / 131 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))) 1)))> 3.940 * * * * [progress]: [ 120 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 121 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 122 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 123 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 124 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 125 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 126 / 131 ] simplifiying candidate # 3.940 * * * * [progress]: [ 127 / 131 ] simplifiying candidate # 3.941 * * * * [progress]: [ 128 / 131 ] simplifiying candidate # 3.941 * * * * [progress]: [ 129 / 131 ] simplifiying candidate # 3.941 * * * * [progress]: [ 130 / 131 ] simplifiying candidate # 3.941 * * * * [progress]: [ 131 / 131 ] simplifiying candidate # 3.943 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log1p (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (exp 1) (exp (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (exp (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (* (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (pow 1 3) (pow (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3)) (+ (* 1 1) (+ (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* 1 1) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (real->posit16 (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (expm1 (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (exp 1/2) (exp (/ 1/2 (hypot 1 x)))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (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)))))) (+ (* (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3))))) (* (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) (+ (* (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (* (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))))) (* (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (+ (* (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3))))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 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1/2))))))) (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 3.949 * * [simplify]: iteration 1: (264 enodes) 4.193 * * [simplify]: iteration 2: (652 enodes) 4.712 * * [simplify]: Extracting #0: cost 110 inf + 0 4.713 * * [simplify]: Extracting #1: cost 504 inf + 45 4.715 * * [simplify]: Extracting #2: cost 796 inf + 552 4.719 * * [simplify]: Extracting #3: cost 809 inf + 6306 4.727 * * [simplify]: Extracting #4: cost 603 inf + 44966 4.751 * * [simplify]: Extracting #5: cost 288 inf + 128496 4.795 * * [simplify]: Extracting #6: cost 58 inf + 197293 4.841 * * [simplify]: Extracting #7: cost 2 inf + 213455 4.906 * * [simplify]: Extracting #8: cost 0 inf + 214131 4.988 * [simplify]: Simplified to: (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log1p (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (* (+ 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(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 3/8 (* x x) (fma 275/1024 (* (* x x) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -39/128))) (fma 9/512 (/ (/ (/ 1 x) x) (* 1/8 (sqrt 1/8))) (- (- 1 (* 3/16 (+ (/ (/ (/ 1 x) x) (sqrt 1/8)) (/ (/ 1 x) (sqrt 1/8))))) (sqrt 1/8))) (- (fma 9/512 (/ (/ (/ 1 x) x) (* 1/8 (sqrt 1/8))) (+ 1 (/ 3/16 (* (sqrt 1/8) x)))) (fma 3/16 (/ (/ (/ 1 x) x) (sqrt 1/8)) (sqrt 1/8))) (+ (fma (* (* x x) (* x x)) 35/128 2) (* (* x x) -3/8)) (+ (/ -1/32 (* (* (* 1/2 (sqrt 1/2)) x) x)) (+ (/ 1/4 (* (sqrt 1/2) x)) (+ (+ 1/2 (sqrt 1/2)) (/ 1/2 x)))) (- (- (- (+ 1/2 (sqrt 1/2)) (/ 1/2 x)) (/ 1/32 (* (* (* 1/2 (sqrt 1/2)) x) x))) (/ 1/4 (* (sqrt 1/2) x))) (fma 39/128 (* (* x x) (* x x)) (+ 1 (* (* x x) -3/8))) (+ (/ 3/16 (* (sqrt 1/8) (* x x))) (+ (/ 3/16 (* (sqrt 1/8) x)) (- (sqrt 1/8) (/ 9/512 (* (* x x) (* 1/8 (sqrt 1/8))))))) (- (+ (/ 3/16 (* (sqrt 1/8) (* x x))) (- (sqrt 1/8) (/ 9/512 (* (* x x) (* 1/8 (sqrt 1/8)))))) (/ 3/16 (* (sqrt 1/8) x))) (fma 3/16 (* (* x x) (* x x)) (+ 1/2 (* -1/4 (* x x)))) (- (+ (/ 1/2 x) (/ 3/16 (pow x 5))) (/ 1/4 (* (* x x) x))) (- (/ 1/4 (* (* x x) x)) (+ (/ 1/2 x) (/ 3/16 (pow x 5)))) 5.016 * * * [progress]: adding candidates to table 6.336 * * [progress]: iteration 3 / 4 6.336 * * * [progress]: picking best candidate 6.346 * * * * [pick]: Picked # 6.346 * * * [progress]: localizing error 6.385 * * * [progress]: generating rewritten candidates 6.385 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.422 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 6.448 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) 6.452 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 6.463 * * * [progress]: generating series expansions 6.463 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.463 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 6.463 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 6.463 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 6.463 * [taylor]: Taking taylor expansion of 1 in x 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.463 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.463 * [taylor]: Taking taylor expansion of 1/2 in x 6.463 * [backup-simplify]: Simplify 1/2 into 1/2 6.463 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.463 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.463 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.463 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.463 * [taylor]: Taking taylor expansion of 1 in x 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [taylor]: Taking taylor expansion of 1 in x 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [taylor]: Taking taylor expansion of (* x x) in x 6.463 * [taylor]: Taking taylor expansion of x in x 6.463 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [taylor]: Taking taylor expansion of x in x 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [backup-simplify]: Simplify (* 1 1) into 1 6.464 * [backup-simplify]: Simplify (* 0 0) into 0 6.465 * [backup-simplify]: Simplify (+ 1 0) into 1 6.465 * [backup-simplify]: Simplify (sqrt 1) into 1 6.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.466 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.467 * [backup-simplify]: Simplify (/ 1 1) into 1 6.467 * [taylor]: Taking taylor expansion of 1/2 in x 6.467 * [backup-simplify]: Simplify 1/2 into 1/2 6.467 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.467 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.468 * [backup-simplify]: Simplify (sqrt 1) into 1 6.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.469 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 6.469 * [taylor]: Taking taylor expansion of 1 in x 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.469 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.469 * [taylor]: Taking taylor expansion of 1/2 in x 6.469 * [backup-simplify]: Simplify 1/2 into 1/2 6.469 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.469 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.469 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.469 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.469 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.469 * [taylor]: Taking taylor expansion of 1 in x 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [taylor]: Taking taylor expansion of 1 in x 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [taylor]: Taking taylor expansion of (* x x) in x 6.469 * [taylor]: Taking taylor expansion of x in x 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.470 * [taylor]: Taking taylor expansion of x in x 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (* 1 1) into 1 6.470 * [backup-simplify]: Simplify (* 0 0) into 0 6.470 * [backup-simplify]: Simplify (+ 1 0) into 1 6.471 * [backup-simplify]: Simplify (sqrt 1) into 1 6.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.471 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.472 * [backup-simplify]: Simplify (+ 0 0) into 0 6.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.473 * [backup-simplify]: Simplify (/ 1 1) into 1 6.473 * [taylor]: Taking taylor expansion of 1/2 in x 6.473 * [backup-simplify]: Simplify 1/2 into 1/2 6.473 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.474 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.474 * [backup-simplify]: Simplify (sqrt 1) into 1 6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.476 * [backup-simplify]: Simplify (+ 0 0) into 0 6.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.477 * [backup-simplify]: Simplify (- 1) into -1 6.477 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.477 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify (- 0) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.480 * [backup-simplify]: Simplify (+ 0 1) into 1 6.480 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.482 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.482 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.482 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 6.483 * [backup-simplify]: Simplify (- -1/8) into 1/8 6.483 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 6.483 * [backup-simplify]: Simplify 1/8 into 1/8 6.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.488 * [backup-simplify]: Simplify (+ 0 0) into 0 6.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.490 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 6.491 * [backup-simplify]: Simplify (- 0) into 0 6.491 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.493 * [backup-simplify]: Simplify (+ 0 0) into 0 6.494 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.495 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.496 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.497 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 6.497 * [backup-simplify]: Simplify (- 11/128) into -11/128 6.497 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 6.497 * [backup-simplify]: Simplify -11/128 into -11/128 6.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 6.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 6.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 6.502 * [backup-simplify]: Simplify (+ 0 0) into 0 6.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 6.504 * [backup-simplify]: Simplify (- 0) into 0 6.504 * [backup-simplify]: Simplify (+ 0 0) into 0 6.504 * [backup-simplify]: Simplify 0 into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.506 * [backup-simplify]: Simplify (+ 0 0) into 0 6.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 6.509 * [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 6.511 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 6.512 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 6.514 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 6.515 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 6.515 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 6.515 * [backup-simplify]: Simplify 69/1024 into 69/1024 6.516 * [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))) 6.516 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 6.516 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 6.516 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 6.516 * [taylor]: Taking taylor expansion of 1 in x 6.516 * [backup-simplify]: Simplify 1 into 1 6.516 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.516 * [taylor]: Taking taylor expansion of 1/2 in x 6.516 * [backup-simplify]: Simplify 1/2 into 1/2 6.516 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.516 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.517 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.517 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.517 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.517 * [taylor]: Taking taylor expansion of 1 in x 6.517 * [backup-simplify]: Simplify 1 into 1 6.517 * [taylor]: Taking taylor expansion of 1 in x 6.517 * [backup-simplify]: Simplify 1 into 1 6.517 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.517 * [taylor]: Taking taylor expansion of x in x 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 1 into 1 6.517 * [backup-simplify]: Simplify (/ 1 1) into 1 6.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.517 * [taylor]: Taking taylor expansion of x in x 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 1 into 1 6.518 * [backup-simplify]: Simplify (/ 1 1) into 1 6.518 * [backup-simplify]: Simplify (* 1 1) into 1 6.519 * [backup-simplify]: Simplify (+ 0 1) into 1 6.519 * [backup-simplify]: Simplify (sqrt 1) into 1 6.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.522 * [backup-simplify]: Simplify (+ 0 0) into 0 6.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.523 * [backup-simplify]: Simplify (/ 1 1) into 1 6.523 * [taylor]: Taking taylor expansion of 1/2 in x 6.523 * [backup-simplify]: Simplify 1/2 into 1/2 6.523 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.524 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.524 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.525 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.526 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.526 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 6.526 * [taylor]: Taking taylor expansion of 1 in x 6.526 * [backup-simplify]: Simplify 1 into 1 6.526 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.526 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.526 * [taylor]: Taking taylor expansion of 1/2 in x 6.526 * [backup-simplify]: Simplify 1/2 into 1/2 6.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.527 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.527 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.527 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.527 * [taylor]: Taking taylor expansion of 1 in x 6.527 * [backup-simplify]: Simplify 1 into 1 6.527 * [taylor]: Taking taylor expansion of 1 in x 6.527 * [backup-simplify]: Simplify 1 into 1 6.527 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.527 * [taylor]: Taking taylor expansion of x in x 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 1 into 1 6.527 * [backup-simplify]: Simplify (/ 1 1) into 1 6.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.527 * [taylor]: Taking taylor expansion of x in x 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (/ 1 1) into 1 6.528 * [backup-simplify]: Simplify (* 1 1) into 1 6.529 * [backup-simplify]: Simplify (+ 0 1) into 1 6.529 * [backup-simplify]: Simplify (sqrt 1) into 1 6.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.532 * [backup-simplify]: Simplify (+ 0 0) into 0 6.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.533 * [backup-simplify]: Simplify (/ 1 1) into 1 6.533 * [taylor]: Taking taylor expansion of 1/2 in x 6.533 * [backup-simplify]: Simplify 1/2 into 1/2 6.534 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.534 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.534 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.535 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.536 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.537 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 6.539 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 6.540 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 6.541 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.543 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.544 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.549 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.550 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 6.552 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 6.554 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 6.557 * [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))) 6.557 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 6.557 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 6.557 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 6.557 * [taylor]: Taking taylor expansion of 1 in x 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.557 * [taylor]: Taking taylor expansion of 1/2 in x 6.557 * [backup-simplify]: Simplify 1/2 into 1/2 6.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.557 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.557 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.557 * [taylor]: Taking taylor expansion of 1 in x 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [taylor]: Taking taylor expansion of 1 in x 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.557 * [taylor]: Taking taylor expansion of -1 in x 6.557 * [backup-simplify]: Simplify -1 into -1 6.557 * [taylor]: Taking taylor expansion of x in x 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify 1 into 1 6.558 * [backup-simplify]: Simplify (/ -1 1) into -1 6.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.558 * [taylor]: Taking taylor expansion of -1 in x 6.558 * [backup-simplify]: Simplify -1 into -1 6.558 * [taylor]: Taking taylor expansion of x in x 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify 1 into 1 6.558 * [backup-simplify]: Simplify (/ -1 1) into -1 6.558 * [backup-simplify]: Simplify (* -1 -1) into 1 6.559 * [backup-simplify]: Simplify (+ 0 1) into 1 6.559 * [backup-simplify]: Simplify (sqrt 1) into 1 6.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.560 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.560 * [backup-simplify]: Simplify (+ 0 0) into 0 6.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.561 * [backup-simplify]: Simplify (/ 1 1) into 1 6.561 * [taylor]: Taking taylor expansion of 1/2 in x 6.561 * [backup-simplify]: Simplify 1/2 into 1/2 6.561 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.562 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.562 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.562 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.563 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.563 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 6.563 * [taylor]: Taking taylor expansion of 1 in x 6.563 * [backup-simplify]: Simplify 1 into 1 6.563 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.563 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.563 * [taylor]: Taking taylor expansion of 1/2 in x 6.563 * [backup-simplify]: Simplify 1/2 into 1/2 6.563 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.563 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.563 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.563 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.563 * [taylor]: Taking taylor expansion of 1 in x 6.563 * [backup-simplify]: Simplify 1 into 1 6.563 * [taylor]: Taking taylor expansion of 1 in x 6.563 * [backup-simplify]: Simplify 1 into 1 6.563 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.563 * [taylor]: Taking taylor expansion of -1 in x 6.564 * [backup-simplify]: Simplify -1 into -1 6.564 * [taylor]: Taking taylor expansion of x in x 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [backup-simplify]: Simplify (/ -1 1) into -1 6.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.564 * [taylor]: Taking taylor expansion of -1 in x 6.564 * [backup-simplify]: Simplify -1 into -1 6.564 * [taylor]: Taking taylor expansion of x in x 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [backup-simplify]: Simplify (/ -1 1) into -1 6.564 * [backup-simplify]: Simplify (* -1 -1) into 1 6.565 * [backup-simplify]: Simplify (+ 0 1) into 1 6.565 * [backup-simplify]: Simplify (sqrt 1) into 1 6.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.567 * [backup-simplify]: Simplify (+ 0 0) into 0 6.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.567 * [backup-simplify]: Simplify (/ 1 1) into 1 6.567 * [taylor]: Taking taylor expansion of 1/2 in x 6.567 * [backup-simplify]: Simplify 1/2 into 1/2 6.568 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.568 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.568 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.569 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.570 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.571 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 6.573 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 6.574 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 6.575 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.579 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.582 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.584 * [backup-simplify]: Simplify (+ 0 0) into 0 6.589 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.598 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 6.602 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 6.604 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 6.610 * [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)) 6.610 * * * * [progress]: [ 2 / 4 ] generating series at (2) 6.610 * [backup-simplify]: Simplify (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 6.610 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 6.610 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 6.610 * [taylor]: Taking taylor expansion of 1 in x 6.610 * [backup-simplify]: Simplify 1 into 1 6.610 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.610 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.610 * [taylor]: Taking taylor expansion of 1/2 in x 6.610 * [backup-simplify]: Simplify 1/2 into 1/2 6.610 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.610 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.611 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.611 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.611 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.611 * [taylor]: Taking taylor expansion of 1 in x 6.611 * [backup-simplify]: Simplify 1 into 1 6.611 * [taylor]: Taking taylor expansion of 1 in x 6.611 * [backup-simplify]: Simplify 1 into 1 6.611 * [taylor]: Taking taylor expansion of (* x x) in x 6.611 * [taylor]: Taking taylor expansion of x in x 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify 1 into 1 6.611 * [taylor]: Taking taylor expansion of x in x 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify 1 into 1 6.611 * [backup-simplify]: Simplify (* 1 1) into 1 6.612 * [backup-simplify]: Simplify (* 0 0) into 0 6.612 * [backup-simplify]: Simplify (+ 1 0) into 1 6.613 * [backup-simplify]: Simplify (sqrt 1) into 1 6.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.614 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.614 * [backup-simplify]: Simplify (+ 0 0) into 0 6.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.615 * [backup-simplify]: Simplify (/ 1 1) into 1 6.615 * [taylor]: Taking taylor expansion of 1/2 in x 6.615 * [backup-simplify]: Simplify 1/2 into 1/2 6.616 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.616 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.617 * [backup-simplify]: Simplify (sqrt 1) into 1 6.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.619 * [backup-simplify]: Simplify (+ 0 0) into 0 6.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.619 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 6.619 * [taylor]: Taking taylor expansion of 1 in x 6.619 * [backup-simplify]: Simplify 1 into 1 6.619 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.620 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.620 * [taylor]: Taking taylor expansion of 1/2 in x 6.620 * [backup-simplify]: Simplify 1/2 into 1/2 6.620 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.620 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.620 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.620 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.620 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.620 * [taylor]: Taking taylor expansion of 1 in x 6.620 * [backup-simplify]: Simplify 1 into 1 6.620 * [taylor]: Taking taylor expansion of 1 in x 6.620 * [backup-simplify]: Simplify 1 into 1 6.620 * [taylor]: Taking taylor expansion of (* x x) in x 6.620 * [taylor]: Taking taylor expansion of x in x 6.620 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify 1 into 1 6.620 * [taylor]: Taking taylor expansion of x in x 6.620 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify 1 into 1 6.620 * [backup-simplify]: Simplify (* 1 1) into 1 6.620 * [backup-simplify]: Simplify (* 0 0) into 0 6.621 * [backup-simplify]: Simplify (+ 1 0) into 1 6.621 * [backup-simplify]: Simplify (sqrt 1) into 1 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.622 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.622 * [backup-simplify]: Simplify (+ 0 0) into 0 6.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.623 * [backup-simplify]: Simplify (/ 1 1) into 1 6.623 * [taylor]: Taking taylor expansion of 1/2 in x 6.623 * [backup-simplify]: Simplify 1/2 into 1/2 6.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.623 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.623 * [backup-simplify]: Simplify (sqrt 1) into 1 6.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.625 * [backup-simplify]: Simplify (+ 0 0) into 0 6.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.625 * [backup-simplify]: Simplify (- 1) into -1 6.626 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.626 * [backup-simplify]: Simplify 0 into 0 6.626 * [backup-simplify]: Simplify (- 0) into 0 6.626 * [backup-simplify]: Simplify (+ 0 0) into 0 6.626 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.627 * [backup-simplify]: Simplify (+ 0 1) into 1 6.628 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.629 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.629 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.630 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 6.630 * [backup-simplify]: Simplify (- -1/8) into 1/8 6.631 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 6.631 * [backup-simplify]: Simplify 1/8 into 1/8 6.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.632 * [backup-simplify]: Simplify (+ 0 0) into 0 6.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.635 * [backup-simplify]: Simplify (+ 0 0) into 0 6.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 6.636 * [backup-simplify]: Simplify (- 0) into 0 6.636 * [backup-simplify]: Simplify (+ 0 0) into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.638 * [backup-simplify]: Simplify (+ 0 0) into 0 6.638 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.640 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.641 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.641 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 6.642 * [backup-simplify]: Simplify (- 11/128) into -11/128 6.642 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 6.642 * [backup-simplify]: Simplify -11/128 into -11/128 6.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.644 * [backup-simplify]: Simplify (+ 0 0) into 0 6.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 6.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 6.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 6.647 * [backup-simplify]: Simplify (+ 0 0) into 0 6.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 6.649 * [backup-simplify]: Simplify (- 0) into 0 6.650 * [backup-simplify]: Simplify (+ 0 0) into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.654 * [backup-simplify]: Simplify (+ 0 0) into 0 6.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 6.658 * [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 6.660 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 6.661 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 6.663 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 6.663 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 6.664 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 6.664 * [backup-simplify]: Simplify 69/1024 into 69/1024 6.664 * [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))) 6.665 * [backup-simplify]: Simplify (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 6.665 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 6.665 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 6.665 * [taylor]: Taking taylor expansion of 1 in x 6.665 * [backup-simplify]: Simplify 1 into 1 6.665 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.665 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.665 * [taylor]: Taking taylor expansion of 1/2 in x 6.665 * [backup-simplify]: Simplify 1/2 into 1/2 6.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.665 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.665 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.665 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.665 * [taylor]: Taking taylor expansion of 1 in x 6.665 * [backup-simplify]: Simplify 1 into 1 6.665 * [taylor]: Taking taylor expansion of 1 in x 6.665 * [backup-simplify]: Simplify 1 into 1 6.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.665 * [taylor]: Taking taylor expansion of x in x 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 1 into 1 6.666 * [backup-simplify]: Simplify (/ 1 1) into 1 6.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.666 * [taylor]: Taking taylor expansion of x in x 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify 1 into 1 6.666 * [backup-simplify]: Simplify (/ 1 1) into 1 6.667 * [backup-simplify]: Simplify (* 1 1) into 1 6.667 * [backup-simplify]: Simplify (+ 0 1) into 1 6.667 * [backup-simplify]: Simplify (sqrt 1) into 1 6.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.670 * [backup-simplify]: Simplify (+ 0 0) into 0 6.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.671 * [backup-simplify]: Simplify (/ 1 1) into 1 6.671 * [taylor]: Taking taylor expansion of 1/2 in x 6.671 * [backup-simplify]: Simplify 1/2 into 1/2 6.671 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.672 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.672 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.673 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.674 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.674 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 6.674 * [taylor]: Taking taylor expansion of 1 in x 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.674 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.674 * [taylor]: Taking taylor expansion of 1/2 in x 6.674 * [backup-simplify]: Simplify 1/2 into 1/2 6.674 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.674 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.674 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.674 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.675 * [taylor]: Taking taylor expansion of 1 in x 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [taylor]: Taking taylor expansion of 1 in x 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.675 * [taylor]: Taking taylor expansion of x in x 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (/ 1 1) into 1 6.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.675 * [taylor]: Taking taylor expansion of x in x 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.676 * [backup-simplify]: Simplify (/ 1 1) into 1 6.676 * [backup-simplify]: Simplify (* 1 1) into 1 6.676 * [backup-simplify]: Simplify (+ 0 1) into 1 6.677 * [backup-simplify]: Simplify (sqrt 1) into 1 6.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.679 * [backup-simplify]: Simplify (+ 0 0) into 0 6.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.680 * [backup-simplify]: Simplify (/ 1 1) into 1 6.680 * [taylor]: Taking taylor expansion of 1/2 in x 6.680 * [backup-simplify]: Simplify 1/2 into 1/2 6.681 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.681 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.682 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.682 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.683 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.684 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 6.686 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 6.686 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 6.688 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.691 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.694 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.696 * [backup-simplify]: Simplify (+ 0 0) into 0 6.701 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.703 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 6.707 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 6.709 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 6.719 * [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))) 6.719 * [backup-simplify]: Simplify (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 6.719 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 6.719 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 6.719 * [taylor]: Taking taylor expansion of 1 in x 6.719 * [backup-simplify]: Simplify 1 into 1 6.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.719 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.719 * [taylor]: Taking taylor expansion of 1/2 in x 6.719 * [backup-simplify]: Simplify 1/2 into 1/2 6.719 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.719 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.719 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.719 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.719 * [taylor]: Taking taylor expansion of 1 in x 6.719 * [backup-simplify]: Simplify 1 into 1 6.719 * [taylor]: Taking taylor expansion of 1 in x 6.719 * [backup-simplify]: Simplify 1 into 1 6.719 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.719 * [taylor]: Taking taylor expansion of -1 in x 6.720 * [backup-simplify]: Simplify -1 into -1 6.720 * [taylor]: Taking taylor expansion of x in x 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 1 into 1 6.720 * [backup-simplify]: Simplify (/ -1 1) into -1 6.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.720 * [taylor]: Taking taylor expansion of -1 in x 6.720 * [backup-simplify]: Simplify -1 into -1 6.720 * [taylor]: Taking taylor expansion of x in x 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 1 into 1 6.720 * [backup-simplify]: Simplify (/ -1 1) into -1 6.720 * [backup-simplify]: Simplify (* -1 -1) into 1 6.721 * [backup-simplify]: Simplify (+ 0 1) into 1 6.721 * [backup-simplify]: Simplify (sqrt 1) into 1 6.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.722 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.723 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.723 * [backup-simplify]: Simplify (/ 1 1) into 1 6.723 * [taylor]: Taking taylor expansion of 1/2 in x 6.723 * [backup-simplify]: Simplify 1/2 into 1/2 6.724 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.724 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.724 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.724 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.725 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.725 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 6.725 * [taylor]: Taking taylor expansion of 1 in x 6.725 * [backup-simplify]: Simplify 1 into 1 6.725 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.725 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.725 * [taylor]: Taking taylor expansion of 1/2 in x 6.725 * [backup-simplify]: Simplify 1/2 into 1/2 6.725 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.725 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.725 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.726 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.726 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.726 * [taylor]: Taking taylor expansion of 1 in x 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [taylor]: Taking taylor expansion of 1 in x 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.726 * [taylor]: Taking taylor expansion of -1 in x 6.726 * [backup-simplify]: Simplify -1 into -1 6.726 * [taylor]: Taking taylor expansion of x in x 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [backup-simplify]: Simplify (/ -1 1) into -1 6.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.726 * [taylor]: Taking taylor expansion of -1 in x 6.726 * [backup-simplify]: Simplify -1 into -1 6.726 * [taylor]: Taking taylor expansion of x in x 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [backup-simplify]: Simplify (/ -1 1) into -1 6.727 * [backup-simplify]: Simplify (* -1 -1) into 1 6.727 * [backup-simplify]: Simplify (+ 0 1) into 1 6.727 * [backup-simplify]: Simplify (sqrt 1) into 1 6.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.729 * [backup-simplify]: Simplify (+ 0 0) into 0 6.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.729 * [backup-simplify]: Simplify (/ 1 1) into 1 6.729 * [taylor]: Taking taylor expansion of 1/2 in x 6.729 * [backup-simplify]: Simplify 1/2 into 1/2 6.730 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.730 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.730 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.730 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.731 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.732 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 6.733 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 6.733 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 6.734 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.736 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.738 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 6.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.739 * [backup-simplify]: Simplify (+ 0 0) into 0 6.742 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.743 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 6.747 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 6.749 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 6.752 * [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)) 6.752 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2) 6.752 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 6.752 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 6.752 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 6.752 * [taylor]: Taking taylor expansion of 1/2 in x 6.752 * [backup-simplify]: Simplify 1/2 into 1/2 6.752 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.752 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.752 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.752 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.752 * [taylor]: Taking taylor expansion of 1 in x 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [taylor]: Taking taylor expansion of 1 in x 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [taylor]: Taking taylor expansion of (* x x) in x 6.752 * [taylor]: Taking taylor expansion of x in x 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [taylor]: Taking taylor expansion of x in x 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.753 * [backup-simplify]: Simplify (* 1 1) into 1 6.753 * [backup-simplify]: Simplify (* 0 0) into 0 6.753 * [backup-simplify]: Simplify (+ 1 0) into 1 6.753 * [backup-simplify]: Simplify (sqrt 1) into 1 6.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.754 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.754 * [backup-simplify]: Simplify (+ 0 0) into 0 6.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.755 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.755 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 6.755 * [taylor]: Taking taylor expansion of 1/2 in x 6.755 * [backup-simplify]: Simplify 1/2 into 1/2 6.755 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.755 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.755 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.755 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.755 * [taylor]: Taking taylor expansion of 1 in x 6.755 * [backup-simplify]: Simplify 1 into 1 6.755 * [taylor]: Taking taylor expansion of 1 in x 6.755 * [backup-simplify]: Simplify 1 into 1 6.755 * [taylor]: Taking taylor expansion of (* x x) in x 6.755 * [taylor]: Taking taylor expansion of x in x 6.755 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify 1 into 1 6.755 * [taylor]: Taking taylor expansion of x in x 6.755 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 1 into 1 6.756 * [backup-simplify]: Simplify (* 1 1) into 1 6.756 * [backup-simplify]: Simplify (* 0 0) into 0 6.756 * [backup-simplify]: Simplify (+ 1 0) into 1 6.757 * [backup-simplify]: Simplify (sqrt 1) into 1 6.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.757 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.758 * [backup-simplify]: Simplify (+ 0 0) into 0 6.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.759 * [backup-simplify]: Simplify 1/2 into 1/2 6.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.759 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.761 * [backup-simplify]: Simplify (+ 0 1) into 1 6.761 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.762 * [backup-simplify]: Simplify -1/4 into -1/4 6.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.763 * [backup-simplify]: Simplify (+ 0 0) into 0 6.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.765 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.767 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.768 * [backup-simplify]: Simplify 3/16 into 3/16 6.768 * [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))) 6.769 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 6.769 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 6.769 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 6.769 * [taylor]: Taking taylor expansion of 1/2 in x 6.769 * [backup-simplify]: Simplify 1/2 into 1/2 6.769 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.769 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.769 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.769 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.769 * [taylor]: Taking taylor expansion of 1 in x 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [taylor]: Taking taylor expansion of 1 in x 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.769 * [taylor]: Taking taylor expansion of x in x 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (/ 1 1) into 1 6.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.769 * [taylor]: Taking taylor expansion of x in x 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (/ 1 1) into 1 6.770 * [backup-simplify]: Simplify (* 1 1) into 1 6.770 * [backup-simplify]: Simplify (+ 0 1) into 1 6.770 * [backup-simplify]: Simplify (sqrt 1) into 1 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.772 * [backup-simplify]: Simplify (+ 0 0) into 0 6.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.772 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 6.772 * [taylor]: Taking taylor expansion of 1/2 in x 6.772 * [backup-simplify]: Simplify 1/2 into 1/2 6.772 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.773 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.773 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.773 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.773 * [taylor]: Taking taylor expansion of 1 in x 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [taylor]: Taking taylor expansion of 1 in x 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.773 * [taylor]: Taking taylor expansion of x in x 6.773 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [backup-simplify]: Simplify (/ 1 1) into 1 6.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.773 * [taylor]: Taking taylor expansion of x in x 6.773 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [backup-simplify]: Simplify (/ 1 1) into 1 6.773 * [backup-simplify]: Simplify (* 1 1) into 1 6.774 * [backup-simplify]: Simplify (+ 0 1) into 1 6.774 * [backup-simplify]: Simplify (sqrt 1) into 1 6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.775 * [backup-simplify]: Simplify (+ 0 0) into 0 6.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.776 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.776 * [backup-simplify]: Simplify 1/2 into 1/2 6.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify (* 1 1) into 1 6.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.779 * [backup-simplify]: Simplify (+ 1 0) into 1 6.779 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.780 * [backup-simplify]: Simplify -1/4 into -1/4 6.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.783 * [backup-simplify]: Simplify (+ 0 0) into 0 6.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.789 * [backup-simplify]: Simplify (+ 0 0) into 0 6.790 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.791 * [backup-simplify]: Simplify 3/16 into 3/16 6.791 * [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)))) 6.791 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 6.791 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 6.791 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 6.791 * [taylor]: Taking taylor expansion of 1/2 in x 6.791 * [backup-simplify]: Simplify 1/2 into 1/2 6.791 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.791 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.791 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.791 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.791 * [taylor]: Taking taylor expansion of 1 in x 6.791 * [backup-simplify]: Simplify 1 into 1 6.791 * [taylor]: Taking taylor expansion of 1 in x 6.791 * [backup-simplify]: Simplify 1 into 1 6.791 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.791 * [taylor]: Taking taylor expansion of -1 in x 6.791 * [backup-simplify]: Simplify -1 into -1 6.791 * [taylor]: Taking taylor expansion of x in x 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.792 * [backup-simplify]: Simplify (/ -1 1) into -1 6.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.792 * [taylor]: Taking taylor expansion of -1 in x 6.792 * [backup-simplify]: Simplify -1 into -1 6.792 * [taylor]: Taking taylor expansion of x in x 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 1 into 1 6.792 * [backup-simplify]: Simplify (/ -1 1) into -1 6.792 * [backup-simplify]: Simplify (* -1 -1) into 1 6.793 * [backup-simplify]: Simplify (+ 0 1) into 1 6.793 * [backup-simplify]: Simplify (sqrt 1) into 1 6.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.794 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.794 * [backup-simplify]: Simplify (+ 0 0) into 0 6.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.795 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.795 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 6.795 * [taylor]: Taking taylor expansion of 1/2 in x 6.795 * [backup-simplify]: Simplify 1/2 into 1/2 6.795 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.795 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.795 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.795 * [taylor]: Taking taylor expansion of 1 in x 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [taylor]: Taking taylor expansion of 1 in x 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.795 * [taylor]: Taking taylor expansion of -1 in x 6.795 * [backup-simplify]: Simplify -1 into -1 6.795 * [taylor]: Taking taylor expansion of x in x 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (/ -1 1) into -1 6.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.796 * [taylor]: Taking taylor expansion of -1 in x 6.796 * [backup-simplify]: Simplify -1 into -1 6.796 * [taylor]: Taking taylor expansion of x in x 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (/ -1 1) into -1 6.796 * [backup-simplify]: Simplify (* -1 -1) into 1 6.797 * [backup-simplify]: Simplify (+ 0 1) into 1 6.797 * [backup-simplify]: Simplify (sqrt 1) into 1 6.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.798 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.799 * [backup-simplify]: Simplify (+ 0 0) into 0 6.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.799 * [backup-simplify]: Simplify 1/2 into 1/2 6.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.800 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify (* 1 1) into 1 6.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.802 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.802 * [backup-simplify]: Simplify (+ 1 0) into 1 6.803 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.803 * [backup-simplify]: Simplify -1/4 into -1/4 6.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.811 * [backup-simplify]: Simplify (+ 0 0) into 0 6.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.813 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.818 * [backup-simplify]: Simplify (+ 0 0) into 0 6.819 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.821 * [backup-simplify]: Simplify 3/16 into 3/16 6.821 * [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)))) 6.821 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 6.821 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.821 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 6.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.821 * [taylor]: Taking taylor expansion of 1/2 in x 6.821 * [backup-simplify]: Simplify 1/2 into 1/2 6.821 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.821 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.822 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.822 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.822 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.822 * [taylor]: Taking taylor expansion of 1 in x 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [taylor]: Taking taylor expansion of 1 in x 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [taylor]: Taking taylor expansion of (* x x) in x 6.822 * [taylor]: Taking taylor expansion of x in x 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [taylor]: Taking taylor expansion of x in x 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (* 1 1) into 1 6.823 * [backup-simplify]: Simplify (* 0 0) into 0 6.823 * [backup-simplify]: Simplify (+ 1 0) into 1 6.823 * [backup-simplify]: Simplify (sqrt 1) into 1 6.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.825 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.825 * [backup-simplify]: Simplify (+ 0 0) into 0 6.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.826 * [backup-simplify]: Simplify (/ 1 1) into 1 6.826 * [taylor]: Taking taylor expansion of 1/2 in x 6.826 * [backup-simplify]: Simplify 1/2 into 1/2 6.826 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.827 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.827 * [backup-simplify]: Simplify (sqrt 1) into 1 6.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.829 * [backup-simplify]: Simplify (+ 0 0) into 0 6.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.830 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.830 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.830 * [taylor]: Taking taylor expansion of 1/2 in x 6.830 * [backup-simplify]: Simplify 1/2 into 1/2 6.830 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.830 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.830 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.830 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.830 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.830 * [taylor]: Taking taylor expansion of 1 in x 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [taylor]: Taking taylor expansion of 1 in x 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [taylor]: Taking taylor expansion of (* x x) in x 6.830 * [taylor]: Taking taylor expansion of x in x 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [taylor]: Taking taylor expansion of x in x 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (* 0 0) into 0 6.831 * [backup-simplify]: Simplify (+ 1 0) into 1 6.831 * [backup-simplify]: Simplify (sqrt 1) into 1 6.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.832 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.832 * [backup-simplify]: Simplify (+ 0 0) into 0 6.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.833 * [backup-simplify]: Simplify (/ 1 1) into 1 6.833 * [taylor]: Taking taylor expansion of 1/2 in x 6.833 * [backup-simplify]: Simplify 1/2 into 1/2 6.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.834 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.834 * [backup-simplify]: Simplify (sqrt 1) into 1 6.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.835 * [backup-simplify]: Simplify (+ 0 0) into 0 6.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.836 * [backup-simplify]: Simplify 1 into 1 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.837 * [backup-simplify]: Simplify (+ 0 1) into 1 6.838 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.839 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.839 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.840 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 6.840 * [backup-simplify]: Simplify -1/8 into -1/8 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.841 * [backup-simplify]: Simplify (+ 0 0) into 0 6.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (+ 0 0) into 0 6.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.846 * [backup-simplify]: Simplify (+ 0 0) into 0 6.847 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.849 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.849 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.850 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 6.850 * [backup-simplify]: Simplify 11/128 into 11/128 6.850 * [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))) 6.850 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 6.850 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 6.851 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.851 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.851 * [taylor]: Taking taylor expansion of 1/2 in x 6.851 * [backup-simplify]: Simplify 1/2 into 1/2 6.851 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.851 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.851 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.851 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.851 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.851 * [taylor]: Taking taylor expansion of 1 in x 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [taylor]: Taking taylor expansion of 1 in x 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.851 * [taylor]: Taking taylor expansion of x in x 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [backup-simplify]: Simplify (/ 1 1) into 1 6.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.851 * [taylor]: Taking taylor expansion of x in x 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [backup-simplify]: Simplify (/ 1 1) into 1 6.852 * [backup-simplify]: Simplify (* 1 1) into 1 6.852 * [backup-simplify]: Simplify (+ 0 1) into 1 6.852 * [backup-simplify]: Simplify (sqrt 1) into 1 6.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.854 * [backup-simplify]: Simplify (+ 0 0) into 0 6.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.854 * [backup-simplify]: Simplify (/ 1 1) into 1 6.855 * [taylor]: Taking taylor expansion of 1/2 in x 6.855 * [backup-simplify]: Simplify 1/2 into 1/2 6.855 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.855 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.855 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.856 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.856 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.857 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.857 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.857 * [taylor]: Taking taylor expansion of 1/2 in x 6.857 * [backup-simplify]: Simplify 1/2 into 1/2 6.857 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.857 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.857 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.857 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.857 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.857 * [taylor]: Taking taylor expansion of 1 in x 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [taylor]: Taking taylor expansion of 1 in x 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.857 * [taylor]: Taking taylor expansion of x in x 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [backup-simplify]: Simplify (/ 1 1) into 1 6.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.857 * [taylor]: Taking taylor expansion of x in x 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [backup-simplify]: Simplify (/ 1 1) into 1 6.858 * [backup-simplify]: Simplify (* 1 1) into 1 6.858 * [backup-simplify]: Simplify (+ 0 1) into 1 6.858 * [backup-simplify]: Simplify (sqrt 1) into 1 6.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.860 * [backup-simplify]: Simplify (+ 0 0) into 0 6.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.860 * [backup-simplify]: Simplify (/ 1 1) into 1 6.860 * [taylor]: Taking taylor expansion of 1/2 in x 6.860 * [backup-simplify]: Simplify 1/2 into 1/2 6.861 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.861 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.861 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.861 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.862 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.863 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.863 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 6.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.864 * [backup-simplify]: Simplify (+ 0 0) into 0 6.867 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.868 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.870 * [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))))) 6.870 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 6.870 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 6.870 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.870 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.870 * [taylor]: Taking taylor expansion of 1/2 in x 6.870 * [backup-simplify]: Simplify 1/2 into 1/2 6.870 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.870 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.870 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.870 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.871 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.871 * [taylor]: Taking taylor expansion of 1 in x 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [taylor]: Taking taylor expansion of 1 in x 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.871 * [taylor]: Taking taylor expansion of -1 in x 6.871 * [backup-simplify]: Simplify -1 into -1 6.871 * [taylor]: Taking taylor expansion of x in x 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [backup-simplify]: Simplify (/ -1 1) into -1 6.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.871 * [taylor]: Taking taylor expansion of -1 in x 6.871 * [backup-simplify]: Simplify -1 into -1 6.871 * [taylor]: Taking taylor expansion of x in x 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [backup-simplify]: Simplify (/ -1 1) into -1 6.872 * [backup-simplify]: Simplify (* -1 -1) into 1 6.872 * [backup-simplify]: Simplify (+ 0 1) into 1 6.872 * [backup-simplify]: Simplify (sqrt 1) into 1 6.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.874 * [backup-simplify]: Simplify (+ 0 0) into 0 6.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.874 * [backup-simplify]: Simplify (/ 1 1) into 1 6.874 * [taylor]: Taking taylor expansion of 1/2 in x 6.874 * [backup-simplify]: Simplify 1/2 into 1/2 6.875 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.875 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.875 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.875 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.876 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.876 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.876 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.876 * [taylor]: Taking taylor expansion of 1/2 in x 6.876 * [backup-simplify]: Simplify 1/2 into 1/2 6.876 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.876 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.877 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.877 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.877 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.877 * [taylor]: Taking taylor expansion of 1 in x 6.877 * [backup-simplify]: Simplify 1 into 1 6.877 * [taylor]: Taking taylor expansion of 1 in x 6.877 * [backup-simplify]: Simplify 1 into 1 6.877 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.877 * [taylor]: Taking taylor expansion of -1 in x 6.877 * [backup-simplify]: Simplify -1 into -1 6.877 * [taylor]: Taking taylor expansion of x in x 6.877 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify 1 into 1 6.877 * [backup-simplify]: Simplify (/ -1 1) into -1 6.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.877 * [taylor]: Taking taylor expansion of -1 in x 6.877 * [backup-simplify]: Simplify -1 into -1 6.877 * [taylor]: Taking taylor expansion of x in x 6.877 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify 1 into 1 6.877 * [backup-simplify]: Simplify (/ -1 1) into -1 6.878 * [backup-simplify]: Simplify (* -1 -1) into 1 6.878 * [backup-simplify]: Simplify (+ 0 1) into 1 6.878 * [backup-simplify]: Simplify (sqrt 1) into 1 6.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.880 * [backup-simplify]: Simplify (+ 0 0) into 0 6.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.880 * [backup-simplify]: Simplify (/ 1 1) into 1 6.880 * [taylor]: Taking taylor expansion of 1/2 in x 6.880 * [backup-simplify]: Simplify 1/2 into 1/2 6.881 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.881 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.881 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.881 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.882 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.883 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.883 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.885 * [backup-simplify]: Simplify (+ 0 0) into 0 6.888 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.889 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.892 * [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)))))) 6.892 * * * [progress]: simplifying candidates 6.892 * * * * [progress]: [ 1 / 136 ] simplifiying candidate # 6.892 * * * * [progress]: [ 2 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 3 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 4 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 5 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 6 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 7 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 8 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 9 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 10 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 11 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 12 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 13 / 136 ] simplifiying candidate # 6.893 * * * * [progress]: [ 14 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 15 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 16 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 17 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 18 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 19 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 20 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 21 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 22 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 23 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 24 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 25 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 26 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 27 / 136 ] simplifiying candidate # 6.894 * * * * [progress]: [ 28 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 29 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 30 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 31 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 32 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 33 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 34 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 35 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 36 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 37 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 38 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 39 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 40 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 41 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 42 / 136 ] simplifiying candidate # 6.895 * * * * [progress]: [ 43 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 44 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 45 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 46 / 136 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))> 6.896 * * * * [progress]: [ 47 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 48 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 49 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 50 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 51 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 52 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 53 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 54 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 55 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 56 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 57 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 58 / 136 ] simplifiying candidate # 6.896 * * * * [progress]: [ 59 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 60 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 61 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 62 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 63 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 64 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 65 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 66 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 67 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 68 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 69 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 70 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 71 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 72 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 73 / 136 ] simplifiying candidate #real (real->posit16 (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))> 6.897 * * * * [progress]: [ 74 / 136 ] simplifiying candidate # 6.897 * * * * [progress]: [ 75 / 136 ] simplifiying candidate # 6.898 * * * * [progress]: 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6.899 * * * * [progress]: [ 92 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 93 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 94 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 95 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 96 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 97 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 98 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 99 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 100 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 101 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 102 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 103 / 136 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))))> 6.899 * * * * [progress]: [ 104 / 136 ] simplifiying candidate # 6.899 * * * * [progress]: [ 105 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 106 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 107 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 108 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 109 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 110 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 111 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 112 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 113 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 114 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 115 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 116 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 117 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 118 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 119 / 136 ] simplifiying candidate # 6.900 * * * * [progress]: [ 120 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 121 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 122 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 123 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 124 / 136 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))> 6.901 * * * * [progress]: [ 125 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 126 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 127 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 128 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 129 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 130 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 131 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 132 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 133 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 134 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 135 / 136 ] simplifiying candidate # 6.901 * * * * [progress]: [ 136 / 136 ] simplifiying candidate # 6.905 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- 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[simplify]: Extracting #6: cost 52 inf + 112851 8.417 * * [simplify]: Extracting #7: cost 2 inf + 132993 8.461 * * [simplify]: Extracting #8: cost 0 inf + 133559 8.488 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (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))))) (fma (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))))) (fma (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))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt 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1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 1 (- 1 (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 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (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)))))) (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))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) 1/8)) (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (sqrt (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) (- (- (+ (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) 1) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2)))) (+ (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) (+ (- 1 (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))))) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) (- (- (+ (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) 1) (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2)))) (+ (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) (+ (- 1 (sqrt 1/2)) (/ 1/4 (* x (sqrt 1/2))))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 1/2 x) (- (/ 3/16 (pow x 5)) (/ (/ 1/4 x) (* x x)))) (+ (+ (/ (/ 1/4 x) (* x x)) (/ -1/2 x)) (/ -3/16 (pow x 5))) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 1)) (+ (/ 1/4 (* x (sqrt 1/2))) (- (sqrt 1/2) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))))) (+ (- (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ -1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) 8.500 * * * [progress]: adding candidates to table 9.499 * * [progress]: iteration 4 / 4 9.499 * * * [progress]: picking best candidate 9.503 * * * * [pick]: Picked # 9.504 * * * [progress]: localizing error 9.546 * * * [progress]: generating rewritten candidates 9.546 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 2 2) 9.580 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 9.597 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 9.620 * * * [progress]: generating series expansions 9.620 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.621 * [backup-simplify]: Simplify (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) into (fma (pow x 6) 69/1024 (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 9.621 * [approximate]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in (x) around 0 9.621 * [taylor]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in x 9.621 * [taylor]: Rewrote expression to (+ (* (pow x 6) 69/1024) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 9.621 * [taylor]: Taking taylor expansion of (* (pow x 6) 69/1024) in x 9.621 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.621 * [taylor]: Taking taylor expansion of x in x 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [taylor]: Taking taylor expansion of 69/1024 in x 9.621 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.621 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1/8 (* 11/128 (pow x 2)))) in x 9.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.621 * [taylor]: Taking taylor expansion of x in x 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (pow x 2))) in x 9.621 * [taylor]: Taking taylor expansion of 1/8 in x 9.621 * [backup-simplify]: Simplify 1/8 into 1/8 9.621 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 9.621 * [taylor]: Taking taylor expansion of 11/128 in x 9.621 * [backup-simplify]: Simplify 11/128 into 11/128 9.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.621 * [taylor]: Taking taylor expansion of x in x 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [taylor]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) in x 9.621 * [taylor]: Rewrote expression to (+ (* (pow x 6) 69/1024) (* (pow x 2) (- 1/8 (* 11/128 (pow x 2))))) 9.621 * [taylor]: Taking taylor expansion of (* (pow x 6) 69/1024) in x 9.621 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.621 * [taylor]: Taking taylor expansion of x in x 9.622 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify 1 into 1 9.622 * [taylor]: Taking taylor expansion of 69/1024 in x 9.622 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.622 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1/8 (* 11/128 (pow x 2)))) in x 9.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.622 * [taylor]: Taking taylor expansion of x in x 9.622 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify 1 into 1 9.622 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (pow x 2))) in x 9.622 * [taylor]: Taking taylor expansion of 1/8 in x 9.622 * [backup-simplify]: Simplify 1/8 into 1/8 9.622 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 9.622 * [taylor]: Taking taylor expansion of 11/128 in x 9.622 * [backup-simplify]: Simplify 11/128 into 11/128 9.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.622 * [taylor]: Taking taylor expansion of x in x 9.622 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify 1 into 1 9.623 * [backup-simplify]: Simplify (* 1 1) into 1 9.623 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.624 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 9.624 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.624 * [backup-simplify]: Simplify 1/8 into 1/8 9.624 * [backup-simplify]: Simplify (+ 0 0) into 0 9.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 9.625 * [backup-simplify]: Simplify (+ 0 0) into 0 9.625 * [backup-simplify]: Simplify 0 into 0 9.626 * [backup-simplify]: Simplify (* 1 1) into 1 9.626 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.626 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.626 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.628 * [backup-simplify]: Simplify (+ (* 1 -11/128) (+ (* 0 0) (* 0 1/8))) into -11/128 9.628 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.628 * [backup-simplify]: Simplify -11/128 into -11/128 9.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.629 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 9.629 * [backup-simplify]: Simplify (- 0) into 0 9.629 * [backup-simplify]: Simplify (+ 0 0) into 0 9.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -11/128) (+ (* 0 0) (* 0 1/8)))) into 0 9.631 * [backup-simplify]: Simplify (+ 0 0) into 0 9.631 * [backup-simplify]: Simplify 0 into 0 9.632 * [backup-simplify]: Simplify (* 1 1) into 1 9.632 * [backup-simplify]: Simplify (* 1 1) into 1 9.632 * [backup-simplify]: Simplify (* 1 1) into 1 9.632 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 9.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.633 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.634 * [backup-simplify]: Simplify (- 0) into 0 9.634 * [backup-simplify]: Simplify (+ 0 0) into 0 9.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 -11/128) (+ (* 0 0) (* 0 1/8))))) into 0 9.636 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.636 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.636 * [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))) 9.637 * [backup-simplify]: Simplify (fma (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) 69/1024 (* (* (/ 1 x) (/ 1 x)) (- 1/8 (* 11/128 (* (/ 1 x) (/ 1 x)))))) into (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.637 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in (x) around 0 9.637 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 9.637 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.637 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 9.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.637 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.637 * [taylor]: Taking taylor expansion of x in x 9.637 * [backup-simplify]: Simplify 0 into 0 9.637 * [backup-simplify]: Simplify 1 into 1 9.637 * [backup-simplify]: Simplify (* 1 1) into 1 9.637 * [backup-simplify]: Simplify (* 1 1) into 1 9.638 * [backup-simplify]: Simplify (* 1 1) into 1 9.638 * [backup-simplify]: Simplify (/ 1 1) into 1 9.638 * [taylor]: Taking taylor expansion of 69/1024 in x 9.638 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.638 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 9.638 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 9.638 * [taylor]: Taking taylor expansion of 1/8 in x 9.638 * [backup-simplify]: Simplify 1/8 into 1/8 9.638 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 9.638 * [taylor]: Taking taylor expansion of 11/128 in x 9.638 * [backup-simplify]: Simplify 11/128 into 11/128 9.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.638 * [taylor]: Taking taylor expansion of x in x 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify 1 into 1 9.638 * [backup-simplify]: Simplify (* 1 1) into 1 9.638 * [backup-simplify]: Simplify (/ 1 1) into 1 9.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.639 * [taylor]: Taking taylor expansion of x in x 9.639 * [backup-simplify]: Simplify 0 into 0 9.639 * [backup-simplify]: Simplify 1 into 1 9.639 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.639 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.639 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.640 * [backup-simplify]: Simplify (* 1 1) into 1 9.640 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.640 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 9.640 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.640 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 9.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.640 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.640 * [taylor]: Taking taylor expansion of x in x 9.640 * [backup-simplify]: Simplify 0 into 0 9.640 * [backup-simplify]: Simplify 1 into 1 9.640 * [backup-simplify]: Simplify (* 1 1) into 1 9.641 * [backup-simplify]: Simplify (* 1 1) into 1 9.641 * [backup-simplify]: Simplify (* 1 1) into 1 9.641 * [backup-simplify]: Simplify (/ 1 1) into 1 9.641 * [taylor]: Taking taylor expansion of 69/1024 in x 9.641 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.641 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 9.641 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 9.641 * [taylor]: Taking taylor expansion of 1/8 in x 9.641 * [backup-simplify]: Simplify 1/8 into 1/8 9.641 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 9.641 * [taylor]: Taking taylor expansion of 11/128 in x 9.641 * [backup-simplify]: Simplify 11/128 into 11/128 9.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.641 * [taylor]: Taking taylor expansion of x in x 9.641 * [backup-simplify]: Simplify 0 into 0 9.641 * [backup-simplify]: Simplify 1 into 1 9.641 * [backup-simplify]: Simplify (* 1 1) into 1 9.642 * [backup-simplify]: Simplify (/ 1 1) into 1 9.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.642 * [taylor]: Taking taylor expansion of x in x 9.642 * [backup-simplify]: Simplify 0 into 0 9.642 * [backup-simplify]: Simplify 1 into 1 9.642 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.642 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.643 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.643 * [backup-simplify]: Simplify (* 1 1) into 1 9.643 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.643 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 9.644 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.644 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 69/1024)) into 0 9.646 * [backup-simplify]: Simplify (+ 0 0) into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 69/1024))) into 0 9.649 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.649 * [backup-simplify]: Simplify -11/128 into -11/128 9.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))) into 0 9.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.659 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 9.660 * [backup-simplify]: Simplify (- 0) into 0 9.660 * [backup-simplify]: Simplify (+ 0 0) into 0 9.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.662 * [backup-simplify]: Simplify (+ 0 0) into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))) into 0 9.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.671 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.672 * [backup-simplify]: Simplify (- 0) into 0 9.672 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.674 * [backup-simplify]: Simplify (- (/ 1/8 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 1/8 9.675 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.675 * [backup-simplify]: Simplify 1/8 into 1/8 9.675 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 x)) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 x)) 4)) (* 69/1024 (pow (/ 1 (/ 1 x)) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 9.676 * [backup-simplify]: Simplify (fma (* (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x)))) 69/1024 (* (* (/ 1 (- x)) (/ 1 (- x))) (- 1/8 (* 11/128 (* (/ 1 (- x)) (/ 1 (- x))))))) into (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.676 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in (x) around 0 9.676 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 9.676 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.676 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 9.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.676 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.676 * [taylor]: Taking taylor expansion of x in x 9.676 * [backup-simplify]: Simplify 0 into 0 9.676 * [backup-simplify]: Simplify 1 into 1 9.677 * [backup-simplify]: Simplify (* 1 1) into 1 9.677 * [backup-simplify]: Simplify (* 1 1) into 1 9.678 * [backup-simplify]: Simplify (* 1 1) into 1 9.678 * [backup-simplify]: Simplify (/ 1 1) into 1 9.678 * [taylor]: Taking taylor expansion of 69/1024 in x 9.678 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.678 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 9.678 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 9.678 * [taylor]: Taking taylor expansion of 1/8 in x 9.678 * [backup-simplify]: Simplify 1/8 into 1/8 9.678 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 9.678 * [taylor]: Taking taylor expansion of 11/128 in x 9.678 * [backup-simplify]: Simplify 11/128 into 11/128 9.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.678 * [taylor]: Taking taylor expansion of x in x 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify 1 into 1 9.679 * [backup-simplify]: Simplify (* 1 1) into 1 9.679 * [backup-simplify]: Simplify (/ 1 1) into 1 9.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.679 * [taylor]: Taking taylor expansion of x in x 9.679 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify 1 into 1 9.680 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.680 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.680 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.680 * [backup-simplify]: Simplify (* 1 1) into 1 9.681 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.681 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) in x 9.681 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2))) 9.681 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 9.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.681 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.681 * [taylor]: Taking taylor expansion of x in x 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 1 into 1 9.681 * [backup-simplify]: Simplify (* 1 1) into 1 9.682 * [backup-simplify]: Simplify (* 1 1) into 1 9.682 * [backup-simplify]: Simplify (* 1 1) into 1 9.682 * [backup-simplify]: Simplify (/ 1 1) into 1 9.682 * [taylor]: Taking taylor expansion of 69/1024 in x 9.682 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.682 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 11/128 (/ 1 (pow x 2)))) (pow x 2)) in x 9.682 * [taylor]: Taking taylor expansion of (- 1/8 (* 11/128 (/ 1 (pow x 2)))) in x 9.682 * [taylor]: Taking taylor expansion of 1/8 in x 9.682 * [backup-simplify]: Simplify 1/8 into 1/8 9.682 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 2))) in x 9.682 * [taylor]: Taking taylor expansion of 11/128 in x 9.682 * [backup-simplify]: Simplify 11/128 into 11/128 9.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.682 * [taylor]: Taking taylor expansion of x in x 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [backup-simplify]: Simplify (* 1 1) into 1 9.683 * [backup-simplify]: Simplify (/ 1 1) into 1 9.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.683 * [taylor]: Taking taylor expansion of x in x 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify 1 into 1 9.683 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.683 * [backup-simplify]: Simplify (- 11/128) into -11/128 9.684 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.684 * [backup-simplify]: Simplify (* 1 1) into 1 9.684 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.684 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 9.685 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.685 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 69/1024)) into 0 9.687 * [backup-simplify]: Simplify (+ 0 0) into 0 9.687 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 69/1024))) into 0 9.690 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.690 * [backup-simplify]: Simplify -11/128 into -11/128 9.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))) into 0 9.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.694 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 9.695 * [backup-simplify]: Simplify (- 0) into 0 9.695 * [backup-simplify]: Simplify (+ 0 0) into 0 9.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.696 * [backup-simplify]: Simplify (+ 0 0) into 0 9.696 * [backup-simplify]: Simplify 0 into 0 9.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))) into 0 9.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.701 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.701 * [backup-simplify]: Simplify (- 0) into 0 9.701 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.703 * [backup-simplify]: Simplify (- (/ 1/8 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 1/8 9.703 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.703 * [backup-simplify]: Simplify 1/8 into 1/8 9.703 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 (- x))) 4)) (* 69/1024 (pow (/ 1 (/ 1 (- x))) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 9.703 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 2 2) 9.703 * [backup-simplify]: Simplify (* 11/128 (* x x)) into (* 11/128 (pow x 2)) 9.704 * [approximate]: Taking taylor expansion of (* 11/128 (pow x 2)) in (x) around 0 9.704 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 9.704 * [taylor]: Taking taylor expansion of 11/128 in x 9.704 * [backup-simplify]: Simplify 11/128 into 11/128 9.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.704 * [taylor]: Taking taylor expansion of x in x 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 1 into 1 9.704 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 2)) in x 9.704 * [taylor]: Taking taylor expansion of 11/128 in x 9.704 * [backup-simplify]: Simplify 11/128 into 11/128 9.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.704 * [taylor]: Taking taylor expansion of x in x 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 1 into 1 9.704 * [backup-simplify]: Simplify (* 1 1) into 1 9.704 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 9.704 * [backup-simplify]: Simplify 11/128 into 11/128 9.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.705 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 9.705 * [backup-simplify]: Simplify 0 into 0 9.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.706 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.706 * [backup-simplify]: Simplify 0 into 0 9.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.708 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.708 * [backup-simplify]: Simplify 0 into 0 9.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.710 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.710 * [backup-simplify]: Simplify 0 into 0 9.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.713 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.713 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.717 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.717 * [backup-simplify]: Simplify 0 into 0 9.717 * [backup-simplify]: Simplify (* 11/128 (pow x 2)) into (* 11/128 (pow x 2)) 9.717 * [backup-simplify]: Simplify (* 11/128 (* (/ 1 x) (/ 1 x))) into (/ 11/128 (pow x 2)) 9.717 * [approximate]: Taking taylor expansion of (/ 11/128 (pow x 2)) in (x) around 0 9.717 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 9.717 * [taylor]: Taking taylor expansion of 11/128 in x 9.717 * [backup-simplify]: Simplify 11/128 into 11/128 9.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.717 * [taylor]: Taking taylor expansion of x in x 9.717 * [backup-simplify]: Simplify 0 into 0 9.717 * [backup-simplify]: Simplify 1 into 1 9.718 * [backup-simplify]: Simplify (* 1 1) into 1 9.718 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 9.718 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 9.718 * [taylor]: Taking taylor expansion of 11/128 in x 9.718 * [backup-simplify]: Simplify 11/128 into 11/128 9.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.718 * [taylor]: Taking taylor expansion of x in x 9.718 * [backup-simplify]: Simplify 0 into 0 9.718 * [backup-simplify]: Simplify 1 into 1 9.719 * [backup-simplify]: Simplify (* 1 1) into 1 9.719 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 9.719 * [backup-simplify]: Simplify 11/128 into 11/128 9.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)))) into 0 9.721 * [backup-simplify]: Simplify 0 into 0 9.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.722 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.725 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.727 * [backup-simplify]: Simplify 0 into 0 9.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.732 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (/ 1 x)) 2)) into (* 11/128 (pow x 2)) 9.733 * [backup-simplify]: Simplify (* 11/128 (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 11/128 (pow x 2)) 9.733 * [approximate]: Taking taylor expansion of (/ 11/128 (pow x 2)) in (x) around 0 9.733 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 9.733 * [taylor]: Taking taylor expansion of 11/128 in x 9.733 * [backup-simplify]: Simplify 11/128 into 11/128 9.733 * [taylor]: Taking taylor expansion of (pow x 2) 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 9.734 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 9.734 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 2)) in x 9.734 * [taylor]: Taking taylor expansion of 11/128 in x 9.734 * [backup-simplify]: Simplify 11/128 into 11/128 9.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.734 * [taylor]: Taking taylor expansion of x in x 9.734 * [backup-simplify]: Simplify 0 into 0 9.734 * [backup-simplify]: Simplify 1 into 1 9.735 * [backup-simplify]: Simplify (* 1 1) into 1 9.735 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 9.735 * [backup-simplify]: Simplify 11/128 into 11/128 9.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)))) into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.739 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.741 * [backup-simplify]: Simplify 0 into 0 9.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.743 * [backup-simplify]: Simplify 0 into 0 9.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.746 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.749 * [backup-simplify]: Simplify 0 into 0 9.749 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (/ 1 (- x))) 2)) into (* 11/128 (pow x 2)) 9.749 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 9.749 * [backup-simplify]: Simplify (* (* x x) x) into (pow x 3) 9.749 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 9.749 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.749 * [taylor]: Taking taylor expansion of x in x 9.749 * [backup-simplify]: Simplify 0 into 0 9.749 * [backup-simplify]: Simplify 1 into 1 9.749 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.749 * [taylor]: Taking taylor expansion of x in x 9.749 * [backup-simplify]: Simplify 0 into 0 9.749 * [backup-simplify]: Simplify 1 into 1 9.750 * [backup-simplify]: Simplify (* 1 1) into 1 9.750 * [backup-simplify]: Simplify (* 1 1) into 1 9.750 * [backup-simplify]: Simplify 1 into 1 9.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.752 * [backup-simplify]: Simplify 0 into 0 9.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.753 * [backup-simplify]: Simplify 0 into 0 9.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.756 * [backup-simplify]: Simplify 0 into 0 9.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.758 * [backup-simplify]: Simplify 0 into 0 9.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.761 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 9.764 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (/ 1 (pow x 3)) 9.764 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 9.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 9.764 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.764 * [taylor]: Taking taylor expansion of x in x 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.765 * [backup-simplify]: Simplify (* 1 1) into 1 9.765 * [backup-simplify]: Simplify (* 1 1) into 1 9.765 * [backup-simplify]: Simplify (/ 1 1) into 1 9.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 9.765 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.765 * [taylor]: Taking taylor expansion of x in x 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.766 * [backup-simplify]: Simplify (* 1 1) into 1 9.766 * [backup-simplify]: Simplify (* 1 1) into 1 9.766 * [backup-simplify]: Simplify (/ 1 1) into 1 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.769 * [backup-simplify]: Simplify 0 into 0 9.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.771 * [backup-simplify]: Simplify 0 into 0 9.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.775 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.778 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.788 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 9.792 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (/ -1 (pow x 3)) 9.792 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 9.792 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) 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 (pow x 3) in x 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 9.793 * [backup-simplify]: Simplify (* 1 1) into 1 9.793 * [backup-simplify]: Simplify (* 1 1) into 1 9.794 * [backup-simplify]: Simplify (/ -1 1) into -1 9.794 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 9.794 * [taylor]: Taking taylor expansion of -1 in x 9.794 * [backup-simplify]: Simplify -1 into -1 9.794 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.794 * [taylor]: Taking taylor expansion of x in x 9.794 * [backup-simplify]: Simplify 0 into 0 9.794 * [backup-simplify]: Simplify 1 into 1 9.794 * [backup-simplify]: Simplify (* 1 1) into 1 9.794 * [backup-simplify]: Simplify (* 1 1) into 1 9.795 * [backup-simplify]: Simplify (/ -1 1) into -1 9.795 * [backup-simplify]: Simplify -1 into -1 9.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.797 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.800 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.803 * [backup-simplify]: Simplify 0 into 0 9.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.806 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.810 * [backup-simplify]: Simplify 0 into 0 9.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 9.815 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 9.815 * [backup-simplify]: Simplify (* (* x x) x) into (pow x 3) 9.815 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 9.815 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.815 * [taylor]: Taking taylor expansion of x in x 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.815 * [taylor]: Taking taylor expansion of x in x 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.816 * [backup-simplify]: Simplify (* 1 1) into 1 9.816 * [backup-simplify]: Simplify (* 1 1) into 1 9.816 * [backup-simplify]: Simplify 1 into 1 9.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.817 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.819 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.820 * [backup-simplify]: Simplify 0 into 0 9.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.822 * [backup-simplify]: Simplify 0 into 0 9.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.824 * [backup-simplify]: Simplify 0 into 0 9.824 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 9.824 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (/ 1 (pow x 3)) 9.824 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 9.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 9.824 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.824 * [taylor]: Taking taylor expansion of x in x 9.824 * [backup-simplify]: Simplify 0 into 0 9.824 * [backup-simplify]: Simplify 1 into 1 9.824 * [backup-simplify]: Simplify (* 1 1) into 1 9.825 * [backup-simplify]: Simplify (* 1 1) into 1 9.825 * [backup-simplify]: Simplify (/ 1 1) into 1 9.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 9.825 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.825 * [taylor]: Taking taylor expansion of x in x 9.825 * [backup-simplify]: Simplify 0 into 0 9.825 * [backup-simplify]: Simplify 1 into 1 9.825 * [backup-simplify]: Simplify (* 1 1) into 1 9.825 * [backup-simplify]: Simplify (* 1 1) into 1 9.826 * [backup-simplify]: Simplify (/ 1 1) into 1 9.826 * [backup-simplify]: Simplify 1 into 1 9.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.827 * [backup-simplify]: Simplify 0 into 0 9.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.829 * [backup-simplify]: Simplify 0 into 0 9.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.830 * [backup-simplify]: Simplify 0 into 0 9.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.832 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.835 * [backup-simplify]: Simplify 0 into 0 9.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.837 * [backup-simplify]: Simplify 0 into 0 9.837 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 9.837 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (/ -1 (pow x 3)) 9.837 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 9.837 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 9.837 * [taylor]: Taking taylor expansion of -1 in x 9.837 * [backup-simplify]: Simplify -1 into -1 9.837 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.837 * [taylor]: Taking taylor expansion of x in x 9.837 * [backup-simplify]: Simplify 0 into 0 9.837 * [backup-simplify]: Simplify 1 into 1 9.837 * [backup-simplify]: Simplify (* 1 1) into 1 9.838 * [backup-simplify]: Simplify (* 1 1) into 1 9.838 * [backup-simplify]: Simplify (/ -1 1) into -1 9.838 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 9.838 * [taylor]: Taking taylor expansion of -1 in x 9.838 * [backup-simplify]: Simplify -1 into -1 9.838 * [taylor]: Taking taylor expansion of (pow x 3) in x 9.838 * [taylor]: Taking taylor expansion of x in x 9.838 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [backup-simplify]: Simplify (* 1 1) into 1 9.839 * [backup-simplify]: Simplify (* 1 1) into 1 9.839 * [backup-simplify]: Simplify (/ -1 1) into -1 9.839 * [backup-simplify]: Simplify -1 into -1 9.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.840 * [backup-simplify]: Simplify 0 into 0 9.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.842 * [backup-simplify]: Simplify 0 into 0 9.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.844 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.848 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.852 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.856 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 9.856 * * * [progress]: simplifying candidates 9.856 * * * * [progress]: [ 1 / 107 ] simplifiying candidate # 9.856 * * * * [progress]: [ 2 / 107 ] simplifiying candidate # 9.856 * * * * [progress]: [ 3 / 107 ] simplifiying candidate # 9.856 * * * * [progress]: [ 4 / 107 ] simplifiying candidate # 9.856 * * * * [progress]: [ 5 / 107 ] simplifiying candidate # 9.856 * * * * [progress]: [ 6 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 7 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 8 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 9 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 10 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 11 / 107 ] simplifiying candidate #real (real->posit16 (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))))))> 9.857 * * * * [progress]: [ 12 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 13 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 14 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 15 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 16 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 17 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 18 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 19 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 20 / 107 ] simplifiying candidate # 9.857 * * * * [progress]: [ 21 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 22 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 23 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 24 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 25 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 26 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 27 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 28 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 29 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 30 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 31 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 32 / 107 ] simplifiying candidate #real (real->posit16 (* 11/128 (* x x))))))))> 9.858 * * * * [progress]: [ 33 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 34 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 35 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 36 / 107 ] simplifiying candidate # 9.858 * * * * [progress]: [ 37 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 38 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 39 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 40 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 41 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 42 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 43 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 44 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 45 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 46 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 47 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 48 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 49 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 50 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 51 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 52 / 107 ] simplifiying candidate # 9.859 * * * * [progress]: [ 53 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 54 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 55 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 56 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 57 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 58 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 59 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 60 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 61 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 62 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 63 / 107 ] simplifiying candidate #real (real->posit16 (* (* x x) x)))) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))))> 9.860 * * * * [progress]: [ 64 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 65 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 66 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 67 / 107 ] simplifiying candidate # 9.860 * * * * [progress]: [ 68 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 69 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 70 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 71 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 72 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 73 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 74 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 75 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 76 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 77 / 107 ] simplifiying candidate # 9.861 * * * * [progress]: [ 78 / 107 ] simplifiying candidate # 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simplifiying candidate #real (real->posit16 (* (* x x) x))) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))))> 9.862 * * * * [progress]: [ 95 / 107 ] simplifiying candidate # 9.862 * * * * [progress]: [ 96 / 107 ] simplifiying candidate # 9.862 * * * * [progress]: [ 97 / 107 ] simplifiying candidate # 9.862 * * * * [progress]: [ 98 / 107 ] simplifiying candidate # 9.862 * * * * [progress]: [ 99 / 107 ] simplifiying candidate # 9.862 * * * * [progress]: [ 100 / 107 ] simplifiying candidate # 9.862 * * * * [progress]: [ 101 / 107 ] simplifiying candidate # 9.862 * * * * [progress]: [ 102 / 107 ] simplifiying candidate # 9.863 * * * * [progress]: [ 103 / 107 ] simplifiying candidate # 9.863 * * * * [progress]: [ 104 / 107 ] simplifiying candidate # 9.863 * * * * [progress]: [ 105 / 107 ] simplifiying candidate # 9.863 * * * * [progress]: [ 106 / 107 ] simplifiying candidate # 9.863 * * * * [progress]: [ 107 / 107 ] simplifiying candidate # 9.864 * [simplify]: Simplifying: (expm1 (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (log1p (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (* (* (* (* x x) x) (* (* x x) x)) 69/1024) (log (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (exp (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (* (cbrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (cbrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))))) (cbrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (* (* (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x))))) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (sqrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (sqrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (real->posit16 (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* 11/128 (* x x)))))) (expm1 (* 11/128 (* x x))) (log1p (* 11/128 (* x x))) (* 11/128 (* x x)) (* 11/128 (* x x)) (+ (log 11/128) (+ (log x) (log x))) (+ (log 11/128) (log (* x x))) (log (* 11/128 (* x x))) (exp (* 11/128 (* x x))) (* (* (* 11/128 11/128) 11/128) (* (* (* x x) x) (* (* x x) x))) (* (* (* 11/128 11/128) 11/128) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* 11/128 (* x x))) (cbrt (* 11/128 (* x x)))) (cbrt (* 11/128 (* x x))) (* (* (* 11/128 (* x x)) (* 11/128 (* x x))) (* 11/128 (* x x))) (sqrt (* 11/128 (* x x))) (sqrt (* 11/128 (* x x))) (* (sqrt 11/128) x) (* (sqrt 11/128) x) (* 11/128 x) (* (cbrt 11/128) (* x x)) (* (sqrt 11/128) (* x x)) (* 11/128 (* x x)) (real->posit16 (* 11/128 (* x x))) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* x x) x) (* (* x x) x) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log x) (log x)) (log x)) (+ (log (* x x)) (log x)) (log (* (* x x) x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (cbrt (* (* x x) x)) (cbrt (* (* x x) x))) (cbrt (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x x) (* (cbrt x) (cbrt x))) (* (* x x) (sqrt x)) (* (* x x) 1) (* x x) (real->posit16 (* (* x x) x)) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* x x) x) (* (* x x) x) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log x) (log x)) (log x)) (+ (log (* x x)) (log x)) (log (* (* x x) x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (cbrt (* (* x x) x)) (cbrt (* (* x x) x))) (cbrt (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x x) (* (cbrt x) (cbrt x))) (* (* x x) (sqrt x)) (* (* x x) 1) (* x x) (real->posit16 (* (* x x) x)) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (* 11/128 (pow x 2)) (* 11/128 (pow x 2)) (* 11/128 (pow x 2)) (pow x 3) (pow x 3) (pow x 3) (pow x 3) (pow x 3) (pow x 3) 9.866 * * [simplify]: iteration 1: (89 enodes) 9.914 * * [simplify]: iteration 2: (201 enodes) 10.037 * * [simplify]: iteration 3: (583 enodes) 10.708 * * [simplify]: iteration 4: (1760 enodes) 13.615 * * [simplify]: Extracting #0: cost 39 inf + 0 13.617 * * [simplify]: Extracting #1: cost 319 inf + 749 13.630 * * [simplify]: Extracting #2: cost 791 inf + 17399 13.689 * * [simplify]: Extracting #3: cost 712 inf + 156338 13.799 * * [simplify]: Extracting #4: cost 59 inf + 392155 13.943 * * [simplify]: Extracting #5: cost 0 inf + 417273 14.098 * * [simplify]: Extracting #6: cost 0 inf + 416563 14.277 * [simplify]: Simplified to: (expm1 (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (log1p (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) 69/1024) (log (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (exp (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (* (cbrt (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (cbrt (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x)))) (cbrt (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (* (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x)) (* (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x)) (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x)))) (sqrt (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (sqrt (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (real->posit16 (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x))) (expm1 (* x (* x 11/128))) (log1p (* x (* x 11/128))) (* x (* x 11/128)) (* x (* x 11/128)) (log (* x (* x 11/128))) (log (* x (* x 11/128))) (log (* x (* x 11/128))) (exp (* x (* x 11/128))) (* (* (* (* x x) (* x x)) (* x x)) 1331/2097152) (* (* (* (* x x) (* x x)) (* x x)) 1331/2097152) (* (cbrt (* x (* x 11/128))) (cbrt (* x (* x 11/128)))) (cbrt (* x (* x 11/128))) (* (* (* (* x x) (* x x)) (* x x)) 1331/2097152) (sqrt (* x (* x 11/128))) (sqrt (* x (* x 11/128))) (* (sqrt 11/128) x) (* (sqrt 11/128) x) (* x 11/128) (* (cbrt 11/128) (* x x)) (* x (* (sqrt 11/128) x)) (* x (* x 11/128)) (real->posit16 (* x (* x 11/128))) (expm1 (* x (* x x))) (log1p (* x (* x x))) 3 3 3 3 (* x (* x x)) (* x (* x x)) 3 3 3 3 (* (log x) 3) (* (log x) 3) (* (log x) 3) (exp (* x (* x x))) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x) (* x x) x (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x) (sqrt (* x (* x x))) (sqrt (* x (* x x))) (* x (sqrt x)) (* x (sqrt x)) (* (* (cbrt x) x) (* (cbrt x) x)) (* (* x x) (sqrt x)) (* x x) (* x x) (real->posit16 (* x (* x x))) (expm1 (* x (* x x))) (log1p (* x (* x x))) 3 3 3 3 (* x (* x x)) (* x (* x x)) 3 3 3 3 (* (log x) 3) (* (log x) 3) (* (log x) 3) (exp (* x (* x x))) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x) (* x x) x (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) x) (sqrt (* x (* x x))) (sqrt (* x (* x x))) (* x (sqrt x)) (* x (sqrt x)) (* (* (cbrt x) x) (* (cbrt x) x)) (* (* x x) (sqrt x)) (* x x) (* x x) (real->posit16 (* x (* x x))) (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x)) (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x)) (* (+ (* (* x x) (fma (* x x) 69/1024 -11/128)) 1/8) (* x x)) (* x (* x 11/128)) (* x (* x 11/128)) (* x (* x 11/128)) (* x (* x x)) (* x (* x x)) (* x (* x x)) (* x (* x x)) (* x (* x x)) (* x (* x x)) 14.282 * * * [progress]: adding candidates to table 14.839 * [progress]: [Phase 3 of 3] Extracting. 14.839 * * [regime]: Finding splitpoints for: (# # # #) 14.839 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 14.839 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # #) 14.868 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 14.892 * * * * [regimes]: Trying to branch on x from (# # # #) 14.962 * * * [regime]: Found split indices: #