30.726 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.067 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.067 * * [simplify]: iteration 0: 9 enodes 0.072 * * [simplify]: iteration 1: 21 enodes 0.095 * * [simplify]: iteration 2: 43 enodes 0.101 * * [simplify]: iteration 3: 69 enodes 0.112 * * [simplify]: iteration 4: 89 enodes 0.123 * * [simplify]: iteration 5: 111 enodes 0.133 * * [simplify]: iteration 6: 114 enodes 0.139 * * [simplify]: iteration complete: 114 enodes 0.139 * * [simplify]: Extracting #0: cost 1 inf + 0 0.139 * * [simplify]: Extracting #1: cost 4 inf + 0 0.139 * * [simplify]: Extracting #2: cost 4 inf + 1 0.139 * * [simplify]: Extracting #3: cost 8 inf + 1 0.139 * * [simplify]: Extracting #4: cost 9 inf + 2 0.140 * * [simplify]: Extracting #5: cost 10 inf + 2 0.140 * * [simplify]: Extracting #6: cost 9 inf + 3 0.140 * * [simplify]: Extracting #7: cost 6 inf + 255 0.140 * * [simplify]: Extracting #8: cost 1 inf + 1024 0.140 * * [simplify]: Extracting #9: cost 0 inf + 1242 0.141 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.144 * * [progress]: iteration 1 / 4 0.144 * * * [progress]: picking best candidate 0.147 * * * * [pick]: Picked # 0.147 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.171 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.220 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.225 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.233 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.235 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.235 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.235 * [taylor]: Taking taylor expansion of 1 in x 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.235 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.235 * [taylor]: Taking taylor expansion of 1/2 in x 0.235 * [backup-simplify]: Simplify 1/2 into 1/2 0.235 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.235 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.235 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.235 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.235 * [taylor]: Taking taylor expansion of 1 in x 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of 1 in x 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (* x x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [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 0.236 * [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 0.237 * [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 0.238 * [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 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.241 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.241 * [taylor]: Taking taylor expansion of 1/2 in x 0.241 * [backup-simplify]: Simplify 1/2 into 1/2 0.241 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.241 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.241 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.242 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.242 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (* x x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (* 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (sqrt 1) into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of 1/2 in x 0.245 * [backup-simplify]: Simplify 1/2 into 1/2 0.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.245 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.245 * [backup-simplify]: Simplify (sqrt 1) into 1 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.247 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.249 * [backup-simplify]: Simplify (+ 0 1) into 1 0.250 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.251 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.251 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.252 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.252 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.253 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.253 * [backup-simplify]: Simplify 1/8 into 1/8 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.262 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.263 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.266 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.267 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.267 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.267 * [backup-simplify]: Simplify -11/128 into -11/128 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.278 * [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 0.280 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.280 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.281 * [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 0.282 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.282 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.282 * [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))) 0.282 * [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))) 0.282 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 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 (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 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (+ 0 1) into 1 0.284 * [backup-simplify]: Simplify (sqrt 1) into 1 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [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 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [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) 0.287 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.287 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.288 * [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 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [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 0.290 * [backup-simplify]: Simplify (sqrt 1) into 1 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.293 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.293 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.293 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.294 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.295 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.296 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.296 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.297 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.299 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.301 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.307 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.309 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.311 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.314 * [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))) 0.314 * [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))) 0.314 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.314 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.314 * [taylor]: Taking taylor expansion of 1/2 in x 0.314 * [backup-simplify]: Simplify 1/2 into 1/2 0.314 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.314 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.314 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.314 * [taylor]: Taking taylor expansion of -1 in x 0.314 * [backup-simplify]: Simplify -1 into -1 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ -1 1) into -1 0.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.315 * [taylor]: Taking taylor expansion of -1 in x 0.315 * [backup-simplify]: Simplify -1 into -1 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ -1 1) into -1 0.315 * [backup-simplify]: Simplify (* -1 -1) into 1 0.316 * [backup-simplify]: Simplify (+ 0 1) into 1 0.316 * [backup-simplify]: Simplify (sqrt 1) into 1 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of 1/2 in x 0.318 * [backup-simplify]: Simplify 1/2 into 1/2 0.318 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.319 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.319 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.319 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.320 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.320 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.320 * [taylor]: Taking taylor expansion of 1 in x 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.320 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [backup-simplify]: Simplify 1/2 into 1/2 0.320 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.320 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.321 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.321 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.321 * [taylor]: Taking taylor expansion of 1 in x 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of 1 in x 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [backup-simplify]: Simplify -1 into -1 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ -1 1) into -1 0.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.321 * [taylor]: Taking taylor expansion of -1 in x 0.321 * [backup-simplify]: Simplify -1 into -1 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ -1 1) into -1 0.322 * [backup-simplify]: Simplify (* -1 -1) into 1 0.322 * [backup-simplify]: Simplify (+ 0 1) into 1 0.322 * [backup-simplify]: Simplify (sqrt 1) into 1 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of 1/2 in x 0.325 * [backup-simplify]: Simplify 1/2 into 1/2 0.325 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.325 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.326 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.326 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.327 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.327 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.328 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.329 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.330 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.332 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.333 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.339 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.341 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.343 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.346 * [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)) 0.346 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.346 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.347 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of 1/2 in x 0.347 * [backup-simplify]: Simplify 1/2 into 1/2 0.347 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.347 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.347 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.347 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of (* x x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (* 0 0) into 0 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (sqrt 1) into 1 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.353 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.353 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of 1/2 in x 0.354 * [backup-simplify]: Simplify 1/2 into 1/2 0.354 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.354 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.354 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.354 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.354 * [taylor]: Taking taylor expansion of 1 in x 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of 1 in x 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of (* x x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (* 0 0) into 0 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (sqrt 1) into 1 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.357 * [backup-simplify]: Simplify 1/2 into 1/2 0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.360 * [backup-simplify]: Simplify -1/4 into -1/4 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.367 * [backup-simplify]: Simplify 3/16 into 3/16 0.367 * [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))) 0.367 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.367 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.367 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of 1/2 in x 0.367 * [backup-simplify]: Simplify 1/2 into 1/2 0.367 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.367 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.367 * [taylor]: Taking taylor expansion of 1 in x 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of 1 in x 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [backup-simplify]: Simplify (sqrt 1) into 1 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.371 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.371 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.371 * [taylor]: Taking taylor expansion of 1/2 in x 0.371 * [backup-simplify]: Simplify 1/2 into 1/2 0.371 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.371 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.371 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.371 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.372 * [backup-simplify]: Simplify (+ 0 1) into 1 0.372 * [backup-simplify]: Simplify (sqrt 1) into 1 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.375 * [backup-simplify]: Simplify 1/2 into 1/2 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.377 * [backup-simplify]: Simplify (+ 1 0) into 1 0.378 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.379 * [backup-simplify]: Simplify -1/4 into -1/4 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.387 * [backup-simplify]: Simplify 3/16 into 3/16 0.387 * [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)))) 0.388 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.388 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.388 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.388 * [taylor]: Taking taylor expansion of 1/2 in x 0.388 * [backup-simplify]: Simplify 1/2 into 1/2 0.388 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.388 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.388 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.388 * [taylor]: Taking taylor expansion of 1 in x 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [taylor]: Taking taylor expansion of 1 in x 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ -1 1) into -1 0.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.388 * [taylor]: Taking taylor expansion of -1 in x 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ -1 1) into -1 0.389 * [backup-simplify]: Simplify (* -1 -1) into 1 0.389 * [backup-simplify]: Simplify (+ 0 1) into 1 0.389 * [backup-simplify]: Simplify (sqrt 1) into 1 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.392 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.392 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.392 * [taylor]: Taking taylor expansion of 1/2 in x 0.392 * [backup-simplify]: Simplify 1/2 into 1/2 0.392 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.392 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.392 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.392 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [backup-simplify]: Simplify -1 into -1 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ -1 1) into -1 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [backup-simplify]: Simplify -1 into -1 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (/ -1 1) into -1 0.393 * [backup-simplify]: Simplify (* -1 -1) into 1 0.393 * [backup-simplify]: Simplify (+ 0 1) into 1 0.393 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.396 * [backup-simplify]: Simplify 1/2 into 1/2 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.399 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.400 * [backup-simplify]: Simplify -1/4 into -1/4 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.409 * [backup-simplify]: Simplify 3/16 into 3/16 0.409 * [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)))) 0.409 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.409 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.409 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.409 * [taylor]: Taking taylor expansion of 1/2 in x 0.409 * [backup-simplify]: Simplify 1/2 into 1/2 0.409 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.409 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.409 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.409 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.409 * [taylor]: Taking taylor expansion of 1 in x 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of 1 in x 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (* x x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (* 0 0) into 0 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [backup-simplify]: Simplify (sqrt 1) into 1 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of 1/2 in x 0.412 * [backup-simplify]: Simplify 1/2 into 1/2 0.412 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.413 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.413 * [backup-simplify]: Simplify (sqrt 1) into 1 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.415 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.415 * [taylor]: Taking taylor expansion of 1/2 in x 0.415 * [backup-simplify]: Simplify 1/2 into 1/2 0.415 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.415 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.415 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.415 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.415 * [taylor]: Taking taylor expansion of 1 in x 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of 1 in x 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (* x x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (* 0 0) into 0 0.416 * [backup-simplify]: Simplify (+ 1 0) into 1 0.416 * [backup-simplify]: Simplify (sqrt 1) into 1 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of 1/2 in x 0.418 * [backup-simplify]: Simplify 1/2 into 1/2 0.418 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.418 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.418 * [backup-simplify]: Simplify (sqrt 1) into 1 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.421 * [backup-simplify]: Simplify (+ 0 1) into 1 0.422 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.424 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.425 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.426 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.426 * [backup-simplify]: Simplify -1/8 into -1/8 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.438 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.438 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.439 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.439 * [backup-simplify]: Simplify 11/128 into 11/128 0.439 * [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))) 0.440 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.440 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.440 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.440 * [taylor]: Taking taylor expansion of 1/2 in x 0.440 * [backup-simplify]: Simplify 1/2 into 1/2 0.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.440 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.440 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.440 * [taylor]: Taking taylor expansion of 1 in x 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of 1 in x 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.442 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of 1/2 in x 0.444 * [backup-simplify]: Simplify 1/2 into 1/2 0.449 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.450 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.450 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.450 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.451 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.451 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.451 * [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 0.452 * [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 * [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 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [taylor]: Taking taylor expansion of 1/2 in x 0.455 * [backup-simplify]: Simplify 1/2 into 1/2 0.455 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.456 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.456 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.456 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.458 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.458 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.459 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.465 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.467 * [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))))) 0.467 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.467 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.467 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.467 * [taylor]: Taking taylor expansion of 1/2 in x 0.467 * [backup-simplify]: Simplify 1/2 into 1/2 0.467 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.467 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.467 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.467 * [taylor]: Taking taylor expansion of 1 in x 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [taylor]: Taking taylor expansion of 1 in x 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.467 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.467 * [taylor]: Taking taylor expansion of -1 in x 0.467 * [backup-simplify]: Simplify -1 into -1 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ -1 1) into -1 0.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [backup-simplify]: Simplify -1 into -1 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ -1 1) into -1 0.468 * [backup-simplify]: Simplify (* -1 -1) into 1 0.469 * [backup-simplify]: Simplify (+ 0 1) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of 1/2 in x 0.471 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.472 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.472 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.472 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.473 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.473 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.473 * [taylor]: Taking taylor expansion of 1/2 in x 0.473 * [backup-simplify]: Simplify 1/2 into 1/2 0.473 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.473 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.474 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.474 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.474 * [taylor]: Taking taylor expansion of 1 in x 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [taylor]: Taking taylor expansion of 1 in x 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [backup-simplify]: Simplify -1 into -1 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ -1 1) into -1 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [backup-simplify]: Simplify -1 into -1 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ -1 1) into -1 0.475 * [backup-simplify]: Simplify (* -1 -1) into 1 0.475 * [backup-simplify]: Simplify (+ 0 1) into 1 0.475 * [backup-simplify]: Simplify (sqrt 1) into 1 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of 1/2 in x 0.478 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.478 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.478 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.479 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.480 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.480 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.480 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.486 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.488 * [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)))))) 0.488 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.488 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.488 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.488 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.488 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.488 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.488 * [taylor]: Taking taylor expansion of 1 in x 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of 1 in x 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of (* x x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (* 0 0) into 0 0.489 * [backup-simplify]: Simplify (+ 1 0) into 1 0.489 * [backup-simplify]: Simplify (sqrt 1) into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.490 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.490 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.491 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.491 * [taylor]: Taking taylor expansion of 1 in x 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of 1 in x 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of (* x x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (* 0 0) into 0 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (sqrt 1) into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.495 * [backup-simplify]: Simplify (+ 0 1) into 1 0.495 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.495 * [backup-simplify]: Simplify 1/2 into 1/2 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.500 * [backup-simplify]: Simplify -1/8 into -1/8 0.500 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 0.500 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.500 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.500 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.500 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.500 * [taylor]: Taking taylor expansion of 1 in x 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of 1 in x 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (+ 0 1) into 1 0.502 * [backup-simplify]: Simplify (sqrt 1) into 1 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.505 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.506 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.506 * [taylor]: Taking taylor expansion of 1 in x 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of 1 in x 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (+ 0 1) into 1 0.508 * [backup-simplify]: Simplify (sqrt 1) into 1 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.514 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.515 * [backup-simplify]: Simplify 1/2 into 1/2 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.525 * [backup-simplify]: Simplify -1/8 into -1/8 0.525 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 0.525 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.525 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.525 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.525 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.525 * [taylor]: Taking taylor expansion of 1 in x 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of 1 in x 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.525 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [backup-simplify]: Simplify -1 into -1 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ -1 1) into -1 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [backup-simplify]: Simplify -1 into -1 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ -1 1) into -1 0.527 * [backup-simplify]: Simplify (* -1 -1) into 1 0.527 * [backup-simplify]: Simplify (+ 0 1) into 1 0.527 * [backup-simplify]: Simplify (sqrt 1) into 1 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.531 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.531 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.531 * [backup-simplify]: Simplify -1 into -1 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ -1 1) into -1 0.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ -1 1) into -1 0.532 * [backup-simplify]: Simplify (* -1 -1) into 1 0.533 * [backup-simplify]: Simplify (+ 0 1) into 1 0.533 * [backup-simplify]: Simplify (sqrt 1) into 1 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.540 * [backup-simplify]: Simplify (+ 1 0) into 1 0.541 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.541 * [backup-simplify]: Simplify 1/2 into 1/2 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.553 * [backup-simplify]: Simplify -1/8 into -1/8 0.554 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 0.554 * * * [progress]: simplifying candidates 0.554 * * * * [progress]: [ 1 / 120 ] simplifiying candidate # 0.554 * * * * [progress]: [ 2 / 120 ] simplifiying candidate # 0.554 * * * * [progress]: [ 3 / 120 ] simplifiying candidate # 0.554 * * * * [progress]: [ 4 / 120 ] simplifiying candidate # 0.554 * * * * [progress]: [ 5 / 120 ] simplifiying candidate # 0.554 * * * * [progress]: [ 6 / 120 ] simplifiying candidate # 0.554 * * * * [progress]: [ 7 / 120 ] simplifiying candidate # 0.554 * * * * [progress]: [ 8 / 120 ] simplifiying candidate # 0.554 * * * * [progress]: [ 9 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 10 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 11 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 12 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 13 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 14 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 15 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 16 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 17 / 120 ] simplifiying candidate # 0.555 * * * * [progress]: [ 18 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 19 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 20 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 21 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 22 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 23 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 24 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 25 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 26 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 27 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 28 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 29 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 30 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 31 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 32 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 33 / 120 ] simplifiying candidate # 0.556 * * * * [progress]: [ 34 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 35 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 36 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 37 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 38 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 39 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 40 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 41 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 42 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 43 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 44 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 45 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 46 / 120 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.557 * * * * [progress]: [ 47 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 48 / 120 ] simplifiying candidate # 0.557 * * * * [progress]: [ 49 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 50 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 51 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 52 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 53 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 54 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 55 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 56 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 57 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 58 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 59 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 60 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 61 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 62 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 63 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 64 / 120 ] simplifiying candidate # 0.558 * * * * [progress]: [ 65 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 66 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 67 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 68 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 69 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 70 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 71 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 72 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 73 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 74 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 75 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 76 / 120 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.559 * * * * [progress]: [ 77 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 78 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 79 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 80 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 81 / 120 ] simplifiying candidate # 0.559 * * * * [progress]: [ 82 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 83 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 84 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 85 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 86 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 87 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 88 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 89 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 90 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 91 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 92 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 93 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 94 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 95 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 96 / 120 ] simplifiying candidate # 0.560 * * * * [progress]: [ 97 / 120 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.560 * * * * [progress]: [ 98 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 99 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 100 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 101 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 102 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 103 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 104 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 105 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 106 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 107 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 108 / 120 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))))))> 0.561 * * * * [progress]: [ 109 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 110 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 111 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 112 / 120 ] simplifiying candidate # 0.561 * * * * [progress]: [ 113 / 120 ] simplifiying candidate # 0.562 * * * * [progress]: [ 114 / 120 ] simplifiying candidate # 0.562 * * * * [progress]: [ 115 / 120 ] simplifiying candidate # 0.562 * * * * [progress]: [ 116 / 120 ] simplifiying candidate # 0.562 * * * * [progress]: [ 117 / 120 ] simplifiying candidate # 0.562 * * * * [progress]: [ 118 / 120 ] simplifiying candidate # 0.562 * * * * [progress]: [ 119 / 120 ] simplifiying candidate # 0.562 * * * * [progress]: [ 120 / 120 ] simplifiying candidate # 0.570 * [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 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma 1 1 (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 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(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))))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (+ (* 1 1) (* x x)) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 0.575 * * [simplify]: iteration 0: 212 enodes 0.648 * * [simplify]: iteration 1: 495 enodes 0.916 * * [simplify]: iteration 2: 1328 enodes 1.905 * * [simplify]: iteration 3: 4229 enodes 2.897 * * [simplify]: iteration complete: 5000 enodes 2.897 * * [simplify]: Extracting #0: cost 92 inf + 0 2.899 * * [simplify]: Extracting #1: cost 571 inf + 3 2.904 * * [simplify]: Extracting #2: cost 902 inf + 5796 2.936 * * [simplify]: Extracting #3: cost 462 inf + 72753 2.972 * * [simplify]: Extracting #4: cost 187 inf + 132852 3.061 * * [simplify]: Extracting #5: cost 28 inf + 183678 3.125 * * [simplify]: Extracting #6: cost 0 inf + 193313 3.178 * * [simplify]: Extracting #7: cost 0 inf + 193297 3.265 * [simplify]: Simplified to: (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (expm1 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log1p (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (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 (hypot 1 x)) 1/2))) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (fma (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 1/8)) (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1/2 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (fma (* (* x x) (* x x)) -11/128 (fma (* x x) 1/8 (* (* 69/1024 (* x x)) (* (* x x) (* x x))))) (- (fma 1/16 (/ 1 (* (* x x) (sqrt 1/2))) (- 1 (sqrt 1/2))) (/ 1/4 (* (sqrt 1/2) x))) (fma (/ 1 (* (* x x) (sqrt 1/2))) 1/16 (+ (/ 1/4 (* (sqrt 1/2) x)) (- 1 (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)) (/ (* (/ 1/2 x) (/ 1/2 x)) x))) (- (+ (/ -3/16 (pow x 5)) (/ (* (/ 1/2 x) (/ 1/2 x)) x)) (/ 1/2 x)) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 1)) (+ (sqrt 1/2) (- (/ 1/4 (* (sqrt 1/2) x)) (/ (/ 1/32 (* (sqrt 1/2) 1/2)) (* x x)))) (+ (/ -1/4 (* (sqrt 1/2) x)) (- (sqrt 1/2) (/ (/ 1/32 (* (sqrt 1/2) 1/2)) (* x x)))) (fma 1/2 (* x x) (+ 1 (* -1/8 (* (* x x) (* x x))))) (- (+ (/ 1/2 x) x) (/ (/ 1/8 x) (* x x))) (- (/ (/ 1/8 x) (* x x)) (+ (/ 1/2 x) x)) 3.281 * * * [progress]: adding candidates to table 3.926 * * [progress]: iteration 2 / 4 3.926 * * * [progress]: picking best candidate 3.943 * * * * [pick]: Picked # 3.943 * * * [progress]: localizing error 3.976 * * * [progress]: generating rewritten candidates 3.976 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.019 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 4.036 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.074 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 4.083 * * * [progress]: generating series expansions 4.083 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.083 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 4.083 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 4.083 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.083 * [taylor]: Taking taylor expansion of 1/2 in x 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.083 * [taylor]: Taking taylor expansion of 1/2 in x 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.084 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.084 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.084 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.084 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.084 * [taylor]: Taking taylor expansion of 1 in x 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [taylor]: Taking taylor expansion of 1 in x 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [taylor]: Taking taylor expansion of (* x x) in x 4.084 * [taylor]: Taking taylor expansion of x in x 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [taylor]: Taking taylor expansion of x in x 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (* 0 0) into 0 4.085 * [backup-simplify]: Simplify (+ 1 0) into 1 4.086 * [backup-simplify]: Simplify (sqrt 1) into 1 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.087 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.089 * [taylor]: Taking taylor expansion of 1/2 in x 4.089 * [backup-simplify]: Simplify 1/2 into 1/2 4.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.089 * [taylor]: Taking taylor expansion of 1/2 in x 4.089 * [backup-simplify]: Simplify 1/2 into 1/2 4.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.089 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.089 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.089 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.089 * [taylor]: Taking taylor expansion of 1 in x 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of 1 in x 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of (* x x) in x 4.089 * [taylor]: Taking taylor expansion of x in x 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of x in x 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (* 1 1) into 1 4.090 * [backup-simplify]: Simplify (* 0 0) into 0 4.090 * [backup-simplify]: Simplify (+ 1 0) into 1 4.090 * [backup-simplify]: Simplify (sqrt 1) into 1 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.093 * [backup-simplify]: Simplify (/ 1 1) into 1 4.093 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.094 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.094 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.096 * [backup-simplify]: Simplify (- 0) into 0 4.096 * [backup-simplify]: Simplify (+ 0 0) into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.098 * [backup-simplify]: Simplify (+ 0 1) into 1 4.099 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.103 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.103 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.103 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.103 * [backup-simplify]: Simplify 1/4 into 1/4 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.106 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.119 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.119 * [backup-simplify]: Simplify (- 3/16) into -3/16 4.120 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 4.120 * [backup-simplify]: Simplify -3/16 into -3/16 4.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.122 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 4.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 4.129 * [backup-simplify]: Simplify (- 0) into 0 4.129 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.132 * [backup-simplify]: Simplify (+ 0 0) into 0 4.134 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 4.140 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 4.140 * [backup-simplify]: Simplify (- -5/32) into 5/32 4.141 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 4.141 * [backup-simplify]: Simplify 5/32 into 5/32 4.141 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 4.141 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 4.141 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 4.141 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.141 * [taylor]: Taking taylor expansion of 1/2 in x 4.141 * [backup-simplify]: Simplify 1/2 into 1/2 4.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.142 * [taylor]: Taking taylor expansion of 1/2 in x 4.142 * [backup-simplify]: Simplify 1/2 into 1/2 4.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.142 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.142 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.142 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.142 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.142 * [taylor]: Taking taylor expansion of 1 in x 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of 1 in x 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.142 * [taylor]: Taking taylor expansion of x in x 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (/ 1 1) into 1 4.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.142 * [taylor]: Taking taylor expansion of x in x 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (/ 1 1) into 1 4.143 * [backup-simplify]: Simplify (* 1 1) into 1 4.144 * [backup-simplify]: Simplify (+ 0 1) into 1 4.144 * [backup-simplify]: Simplify (sqrt 1) into 1 4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.148 * [backup-simplify]: Simplify (/ 1 1) into 1 4.148 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.148 * [taylor]: Taking taylor expansion of 1/2 in x 4.148 * [backup-simplify]: Simplify 1/2 into 1/2 4.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.148 * [taylor]: Taking taylor expansion of 1/2 in x 4.148 * [backup-simplify]: Simplify 1/2 into 1/2 4.148 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.148 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.148 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.148 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.148 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.148 * [taylor]: Taking taylor expansion of 1 in x 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [taylor]: Taking taylor expansion of 1 in x 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.148 * [taylor]: Taking taylor expansion of x in x 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.149 * [taylor]: Taking taylor expansion of x in x 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.150 * [backup-simplify]: Simplify (* 1 1) into 1 4.150 * [backup-simplify]: Simplify (+ 0 1) into 1 4.151 * [backup-simplify]: Simplify (sqrt 1) into 1 4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.153 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.154 * [backup-simplify]: Simplify (/ 1 1) into 1 4.155 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.155 * [backup-simplify]: Simplify 1/2 into 1/2 4.155 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.156 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.156 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.156 * [backup-simplify]: Simplify -1/2 into -1/2 4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.158 * [backup-simplify]: Simplify (- 0) into 0 4.158 * [backup-simplify]: Simplify (+ 0 0) into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (* 1 1) into 1 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.162 * [backup-simplify]: Simplify (+ 1 0) into 1 4.163 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.166 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.166 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.166 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.166 * [backup-simplify]: Simplify 1/4 into 1/4 4.167 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 4.167 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 4.167 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 4.167 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.167 * [taylor]: Taking taylor expansion of 1/2 in x 4.167 * [backup-simplify]: Simplify 1/2 into 1/2 4.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.167 * [taylor]: Taking taylor expansion of 1/2 in x 4.167 * [backup-simplify]: Simplify 1/2 into 1/2 4.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.167 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.167 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.167 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.167 * [taylor]: Taking taylor expansion of 1 in x 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [taylor]: Taking taylor expansion of 1 in x 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.168 * [taylor]: Taking taylor expansion of -1 in x 4.168 * [backup-simplify]: Simplify -1 into -1 4.168 * [taylor]: Taking taylor expansion of x in x 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (/ -1 1) into -1 4.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.168 * [taylor]: Taking taylor expansion of -1 in x 4.168 * [backup-simplify]: Simplify -1 into -1 4.168 * [taylor]: Taking taylor expansion of x in x 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (/ -1 1) into -1 4.169 * [backup-simplify]: Simplify (* -1 -1) into 1 4.169 * [backup-simplify]: Simplify (+ 0 1) into 1 4.170 * [backup-simplify]: Simplify (sqrt 1) into 1 4.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.172 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.173 * [backup-simplify]: Simplify (/ 1 1) into 1 4.174 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.174 * [taylor]: Taking taylor expansion of 1/2 in x 4.174 * [backup-simplify]: Simplify 1/2 into 1/2 4.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.174 * [taylor]: Taking taylor expansion of 1/2 in x 4.174 * [backup-simplify]: Simplify 1/2 into 1/2 4.174 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.174 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.174 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.174 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.174 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.174 * [taylor]: Taking taylor expansion of 1 in x 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [taylor]: Taking taylor expansion of 1 in x 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.174 * [taylor]: Taking taylor expansion of -1 in x 4.174 * [backup-simplify]: Simplify -1 into -1 4.174 * [taylor]: Taking taylor expansion of x in x 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.175 * [backup-simplify]: Simplify (/ -1 1) into -1 4.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.175 * [taylor]: Taking taylor expansion of -1 in x 4.175 * [backup-simplify]: Simplify -1 into -1 4.175 * [taylor]: Taking taylor expansion of x in x 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [backup-simplify]: Simplify (/ -1 1) into -1 4.175 * [backup-simplify]: Simplify (* -1 -1) into 1 4.176 * [backup-simplify]: Simplify (+ 0 1) into 1 4.176 * [backup-simplify]: Simplify (sqrt 1) into 1 4.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.179 * [backup-simplify]: Simplify (+ 0 0) into 0 4.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.180 * [backup-simplify]: Simplify (/ 1 1) into 1 4.180 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.180 * [backup-simplify]: Simplify 1/2 into 1/2 4.181 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.181 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.182 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.182 * [backup-simplify]: Simplify -1/2 into -1/2 4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.189 * [backup-simplify]: Simplify (- 0) into 0 4.189 * [backup-simplify]: Simplify (+ 0 0) into 0 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify (* 1 1) into 1 4.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.193 * [backup-simplify]: Simplify (+ 1 0) into 1 4.194 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.196 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.196 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.197 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.197 * [backup-simplify]: Simplify 1/4 into 1/4 4.197 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 4.197 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 4.198 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 4.198 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 4.198 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.198 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.198 * [taylor]: Taking taylor expansion of 1/2 in x 4.198 * [backup-simplify]: Simplify 1/2 into 1/2 4.198 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.198 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.198 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.198 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.198 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.198 * [taylor]: Taking taylor expansion of 1 in x 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [taylor]: Taking taylor expansion of 1 in x 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [taylor]: Taking taylor expansion of (* x x) in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.199 * [backup-simplify]: Simplify (* 1 1) into 1 4.199 * [backup-simplify]: Simplify (* 0 0) into 0 4.200 * [backup-simplify]: Simplify (+ 1 0) into 1 4.200 * [backup-simplify]: Simplify (sqrt 1) into 1 4.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.201 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.202 * [backup-simplify]: Simplify (+ 0 0) into 0 4.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.203 * [backup-simplify]: Simplify (/ 1 1) into 1 4.203 * [taylor]: Taking taylor expansion of 1/2 in x 4.203 * [backup-simplify]: Simplify 1/2 into 1/2 4.203 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.204 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.204 * [backup-simplify]: Simplify (sqrt 1) into 1 4.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.206 * [backup-simplify]: Simplify (+ 0 0) into 0 4.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.207 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.207 * [taylor]: Taking taylor expansion of 1/2 in x 4.207 * [backup-simplify]: Simplify 1/2 into 1/2 4.207 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.207 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.207 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.207 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.207 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.207 * [taylor]: Taking taylor expansion of 1 in x 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [taylor]: Taking taylor expansion of 1 in x 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [taylor]: Taking taylor expansion of (* x x) in x 4.207 * [taylor]: Taking taylor expansion of x in x 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [taylor]: Taking taylor expansion of x in x 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (* 1 1) into 1 4.208 * [backup-simplify]: Simplify (* 0 0) into 0 4.209 * [backup-simplify]: Simplify (+ 1 0) into 1 4.209 * [backup-simplify]: Simplify (sqrt 1) into 1 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.210 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.212 * [taylor]: Taking taylor expansion of 1/2 in x 4.212 * [backup-simplify]: Simplify 1/2 into 1/2 4.212 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.213 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.213 * [backup-simplify]: Simplify (sqrt 1) into 1 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.215 * [backup-simplify]: Simplify (+ 0 0) into 0 4.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.218 * [backup-simplify]: Simplify (+ 0 1) into 1 4.219 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.221 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.221 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 4.223 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 4.223 * [backup-simplify]: Simplify -1/8 into -1/8 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (+ 0 0) into 0 4.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 4.231 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.239 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.239 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 4.241 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 4.241 * [backup-simplify]: Simplify 11/128 into 11/128 4.241 * [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))) 4.241 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 4.241 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 4.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.241 * [taylor]: Taking taylor expansion of 1/2 in x 4.241 * [backup-simplify]: Simplify 1/2 into 1/2 4.241 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.241 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.242 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.242 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.242 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.242 * [taylor]: Taking taylor expansion of 1 in x 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [taylor]: Taking taylor expansion of 1 in x 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (/ 1 1) into 1 4.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.242 * [taylor]: Taking taylor expansion of x in x 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (/ 1 1) into 1 4.243 * [backup-simplify]: Simplify (* 1 1) into 1 4.244 * [backup-simplify]: Simplify (+ 0 1) into 1 4.244 * [backup-simplify]: Simplify (sqrt 1) into 1 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.247 * [backup-simplify]: Simplify (+ 0 0) into 0 4.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [taylor]: Taking taylor expansion of 1/2 in x 4.248 * [backup-simplify]: Simplify 1/2 into 1/2 4.249 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.249 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.249 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.250 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.251 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.251 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.252 * [taylor]: Taking taylor expansion of 1/2 in x 4.252 * [backup-simplify]: Simplify 1/2 into 1/2 4.252 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.252 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.252 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.252 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.252 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.252 * [taylor]: Taking taylor expansion of 1 in x 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [taylor]: Taking taylor expansion of 1 in x 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.252 * [taylor]: Taking taylor expansion of x in x 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (/ 1 1) into 1 4.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.252 * [taylor]: Taking taylor expansion of x in x 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (/ 1 1) into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.254 * [backup-simplify]: Simplify (+ 0 1) into 1 4.254 * [backup-simplify]: Simplify (sqrt 1) into 1 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.257 * [backup-simplify]: Simplify (+ 0 0) into 0 4.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.258 * [backup-simplify]: Simplify (/ 1 1) into 1 4.258 * [taylor]: Taking taylor expansion of 1/2 in x 4.258 * [backup-simplify]: Simplify 1/2 into 1/2 4.258 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.259 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.259 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.260 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.261 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.262 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.263 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 4.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.265 * [backup-simplify]: Simplify (+ 0 0) into 0 4.270 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.272 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.275 * [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))))) 4.275 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 4.275 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 4.275 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.275 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.275 * [taylor]: Taking taylor expansion of 1/2 in x 4.275 * [backup-simplify]: Simplify 1/2 into 1/2 4.275 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.275 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.275 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.275 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.275 * [taylor]: Taking taylor expansion of 1 in x 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [taylor]: Taking taylor expansion of 1 in x 4.275 * [backup-simplify]: Simplify 1 into 1 4.276 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.276 * [taylor]: Taking taylor expansion of -1 in x 4.276 * [backup-simplify]: Simplify -1 into -1 4.276 * [taylor]: Taking taylor expansion of x in x 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [backup-simplify]: Simplify (/ -1 1) into -1 4.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.276 * [taylor]: Taking taylor expansion of -1 in x 4.276 * [backup-simplify]: Simplify -1 into -1 4.276 * [taylor]: Taking taylor expansion of x in x 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (/ -1 1) into -1 4.277 * [backup-simplify]: Simplify (* -1 -1) into 1 4.278 * [backup-simplify]: Simplify (+ 0 1) into 1 4.278 * [backup-simplify]: Simplify (sqrt 1) into 1 4.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.281 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.282 * [backup-simplify]: Simplify (/ 1 1) into 1 4.282 * [taylor]: Taking taylor expansion of 1/2 in x 4.282 * [backup-simplify]: Simplify 1/2 into 1/2 4.282 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.283 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.283 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.284 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.285 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.285 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.285 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.285 * [taylor]: Taking taylor expansion of 1/2 in x 4.285 * [backup-simplify]: Simplify 1/2 into 1/2 4.285 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.285 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.285 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.285 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.286 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.286 * [taylor]: Taking taylor expansion of 1 in x 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [taylor]: Taking taylor expansion of 1 in x 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.286 * [taylor]: Taking taylor expansion of -1 in x 4.286 * [backup-simplify]: Simplify -1 into -1 4.286 * [taylor]: Taking taylor expansion of x in x 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify (/ -1 1) into -1 4.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.286 * [taylor]: Taking taylor expansion of -1 in x 4.286 * [backup-simplify]: Simplify -1 into -1 4.286 * [taylor]: Taking taylor expansion of x in x 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (/ -1 1) into -1 4.287 * [backup-simplify]: Simplify (* -1 -1) into 1 4.288 * [backup-simplify]: Simplify (+ 0 1) into 1 4.288 * [backup-simplify]: Simplify (sqrt 1) into 1 4.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.291 * [backup-simplify]: Simplify (+ 0 0) into 0 4.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.292 * [backup-simplify]: Simplify (/ 1 1) into 1 4.292 * [taylor]: Taking taylor expansion of 1/2 in x 4.292 * [backup-simplify]: Simplify 1/2 into 1/2 4.292 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.293 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.293 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.294 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.295 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.296 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.296 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.299 * [backup-simplify]: Simplify (+ 0 0) into 0 4.304 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.306 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.309 * [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)))))) 4.309 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.309 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 4.309 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 4.309 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 4.310 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.310 * [taylor]: Taking taylor expansion of 1/2 in x 4.310 * [backup-simplify]: Simplify 1/2 into 1/2 4.310 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.310 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.310 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.310 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.310 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.310 * [taylor]: Taking taylor expansion of 1 in x 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [taylor]: Taking taylor expansion of 1 in x 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [taylor]: Taking taylor expansion of (* x x) in x 4.310 * [taylor]: Taking taylor expansion of x in x 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [taylor]: Taking taylor expansion of x in x 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify (* 1 1) into 1 4.311 * [backup-simplify]: Simplify (* 0 0) into 0 4.311 * [backup-simplify]: Simplify (+ 1 0) into 1 4.312 * [backup-simplify]: Simplify (sqrt 1) into 1 4.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.313 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.314 * [backup-simplify]: Simplify (+ 0 0) into 0 4.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.315 * [backup-simplify]: Simplify (/ 1 1) into 1 4.315 * [taylor]: Taking taylor expansion of 1/2 in x 4.315 * [backup-simplify]: Simplify 1/2 into 1/2 4.315 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.316 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.316 * [backup-simplify]: Simplify (sqrt 1) into 1 4.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.318 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.319 * [taylor]: Taking taylor expansion of 1 in x 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 4.319 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.319 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.319 * [taylor]: Taking taylor expansion of 1/2 in x 4.319 * [backup-simplify]: Simplify 1/2 into 1/2 4.319 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.319 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.319 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.319 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.319 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.319 * [taylor]: Taking taylor expansion of 1 in x 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [taylor]: Taking taylor expansion of 1 in x 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [taylor]: Taking taylor expansion of (* x x) in x 4.319 * [taylor]: Taking taylor expansion of x in x 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [taylor]: Taking taylor expansion of x in x 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.320 * [backup-simplify]: Simplify (* 1 1) into 1 4.320 * [backup-simplify]: Simplify (* 0 0) into 0 4.321 * [backup-simplify]: Simplify (+ 1 0) into 1 4.321 * [backup-simplify]: Simplify (sqrt 1) into 1 4.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.322 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.324 * [backup-simplify]: Simplify (/ 1 1) into 1 4.324 * [taylor]: Taking taylor expansion of 1/2 in x 4.324 * [backup-simplify]: Simplify 1/2 into 1/2 4.325 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.325 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.325 * [backup-simplify]: Simplify (sqrt 1) into 1 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.327 * [backup-simplify]: Simplify (+ 0 0) into 0 4.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.328 * [taylor]: Taking taylor expansion of 1 in x 4.328 * [backup-simplify]: Simplify 1 into 1 4.329 * [backup-simplify]: Simplify (+ 1 1) into 2 4.329 * [backup-simplify]: Simplify 2 into 2 4.329 * [backup-simplify]: Simplify (+ 0 0) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.337 * [backup-simplify]: Simplify (+ 0 1) into 1 4.338 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.340 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.340 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 4.342 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 4.342 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.342 * [backup-simplify]: Simplify -1/8 into -1/8 4.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 4.351 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.354 * [backup-simplify]: Simplify (+ 0 0) into 0 4.354 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.357 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.357 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 4.358 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 4.358 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 4.358 * [backup-simplify]: Simplify 11/128 into 11/128 4.358 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 4.358 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 4.358 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 4.358 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 4.358 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.358 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.358 * [taylor]: Taking taylor expansion of 1/2 in x 4.358 * [backup-simplify]: Simplify 1/2 into 1/2 4.359 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.359 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.359 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.359 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.359 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.359 * [taylor]: Taking taylor expansion of 1 in x 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [taylor]: Taking taylor expansion of 1 in x 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.359 * [taylor]: Taking taylor expansion of x in x 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [backup-simplify]: Simplify (/ 1 1) into 1 4.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.359 * [taylor]: Taking taylor expansion of x in x 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [backup-simplify]: Simplify (/ 1 1) into 1 4.360 * [backup-simplify]: Simplify (* 1 1) into 1 4.360 * [backup-simplify]: Simplify (+ 0 1) into 1 4.360 * [backup-simplify]: Simplify (sqrt 1) into 1 4.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.362 * [backup-simplify]: Simplify (+ 0 0) into 0 4.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.362 * [backup-simplify]: Simplify (/ 1 1) into 1 4.362 * [taylor]: Taking taylor expansion of 1/2 in x 4.362 * [backup-simplify]: Simplify 1/2 into 1/2 4.363 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.363 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.363 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.363 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.364 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.365 * [taylor]: Taking taylor expansion of 1 in x 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 4.365 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.365 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.365 * [taylor]: Taking taylor expansion of 1/2 in x 4.365 * [backup-simplify]: Simplify 1/2 into 1/2 4.365 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.365 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.365 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.365 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.365 * [taylor]: Taking taylor expansion of 1 in x 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [taylor]: Taking taylor expansion of 1 in x 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (/ 1 1) into 1 4.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (+ 0 1) into 1 4.366 * [backup-simplify]: Simplify (sqrt 1) into 1 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.368 * [backup-simplify]: Simplify (/ 1 1) into 1 4.368 * [taylor]: Taking taylor expansion of 1/2 in x 4.368 * [backup-simplify]: Simplify 1/2 into 1/2 4.369 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.369 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.369 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.370 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.370 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.370 * [taylor]: Taking taylor expansion of 1 in x 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.372 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.373 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 4.374 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.375 * [backup-simplify]: Simplify (+ 0 0) into 0 4.378 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.379 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.381 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.387 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 4.387 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 4.387 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 4.387 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.387 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.388 * [taylor]: Taking taylor expansion of 1/2 in x 4.388 * [backup-simplify]: Simplify 1/2 into 1/2 4.388 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.388 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.388 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.388 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.388 * [taylor]: Taking taylor expansion of 1 in x 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [taylor]: Taking taylor expansion of 1 in x 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.388 * [taylor]: Taking taylor expansion of -1 in x 4.388 * [backup-simplify]: Simplify -1 into -1 4.388 * [taylor]: Taking taylor expansion of x in x 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (/ -1 1) into -1 4.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.389 * [taylor]: Taking taylor expansion of -1 in x 4.389 * [backup-simplify]: Simplify -1 into -1 4.389 * [taylor]: Taking taylor expansion of x in x 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (/ -1 1) into -1 4.389 * [backup-simplify]: Simplify (* -1 -1) into 1 4.390 * [backup-simplify]: Simplify (+ 0 1) into 1 4.390 * [backup-simplify]: Simplify (sqrt 1) into 1 4.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.393 * [backup-simplify]: Simplify (+ 0 0) into 0 4.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.394 * [backup-simplify]: Simplify (/ 1 1) into 1 4.394 * [taylor]: Taking taylor expansion of 1/2 in x 4.394 * [backup-simplify]: Simplify 1/2 into 1/2 4.395 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.395 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.395 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.396 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.398 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.398 * [taylor]: Taking taylor expansion of 1 in x 4.398 * [backup-simplify]: Simplify 1 into 1 4.398 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.398 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.398 * [taylor]: Taking taylor expansion of 1/2 in x 4.398 * [backup-simplify]: Simplify 1/2 into 1/2 4.398 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.398 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.398 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.398 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.398 * [taylor]: Taking taylor expansion of 1 in x 4.398 * [backup-simplify]: Simplify 1 into 1 4.398 * [taylor]: Taking taylor expansion of 1 in x 4.398 * [backup-simplify]: Simplify 1 into 1 4.398 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.398 * [taylor]: Taking taylor expansion of -1 in x 4.398 * [backup-simplify]: Simplify -1 into -1 4.398 * [taylor]: Taking taylor expansion of x in x 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 1 into 1 4.399 * [backup-simplify]: Simplify (/ -1 1) into -1 4.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.399 * [taylor]: Taking taylor expansion of -1 in x 4.399 * [backup-simplify]: Simplify -1 into -1 4.399 * [taylor]: Taking taylor expansion of x in x 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * [backup-simplify]: Simplify (/ -1 1) into -1 4.400 * [backup-simplify]: Simplify (* -1 -1) into 1 4.400 * [backup-simplify]: Simplify (+ 0 1) into 1 4.401 * [backup-simplify]: Simplify (sqrt 1) into 1 4.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.404 * [backup-simplify]: Simplify (+ 0 0) into 0 4.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.405 * [backup-simplify]: Simplify (/ 1 1) into 1 4.405 * [taylor]: Taking taylor expansion of 1/2 in x 4.405 * [backup-simplify]: Simplify 1/2 into 1/2 4.405 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.406 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.406 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.407 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.409 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.409 * [taylor]: Taking taylor expansion of 1 in x 4.409 * [backup-simplify]: Simplify 1 into 1 4.410 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.411 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.412 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 4.414 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.416 * [backup-simplify]: Simplify (+ 0 0) into 0 4.420 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.423 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.428 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.433 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 4.433 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 4.434 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.434 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.434 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.434 * [taylor]: Taking taylor expansion of 1/2 in x 4.434 * [backup-simplify]: Simplify 1/2 into 1/2 4.434 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.434 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.434 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.434 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.434 * [taylor]: Taking taylor expansion of 1 in x 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [taylor]: Taking taylor expansion of 1 in x 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [taylor]: Taking taylor expansion of (* x x) in x 4.434 * [taylor]: Taking taylor expansion of x in x 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [taylor]: Taking taylor expansion of x in x 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.435 * [backup-simplify]: Simplify (* 1 1) into 1 4.435 * [backup-simplify]: Simplify (* 0 0) into 0 4.435 * [backup-simplify]: Simplify (+ 1 0) into 1 4.436 * [backup-simplify]: Simplify (sqrt 1) into 1 4.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.437 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.438 * [backup-simplify]: Simplify (+ 0 0) into 0 4.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.439 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.439 * [taylor]: Taking taylor expansion of 1/2 in x 4.439 * [backup-simplify]: Simplify 1/2 into 1/2 4.439 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.439 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.439 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.439 * [taylor]: Taking taylor expansion of 1 in x 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of 1 in x 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of (* x x) in x 4.439 * [taylor]: Taking taylor expansion of x in x 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of x in x 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (* 1 1) into 1 4.440 * [backup-simplify]: Simplify (* 0 0) into 0 4.440 * [backup-simplify]: Simplify (+ 1 0) into 1 4.441 * [backup-simplify]: Simplify (sqrt 1) into 1 4.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.442 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.442 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.443 * [backup-simplify]: Simplify 1/2 into 1/2 4.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.446 * [backup-simplify]: Simplify (+ 0 1) into 1 4.446 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.447 * [backup-simplify]: Simplify -1/4 into -1/4 4.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.449 * [backup-simplify]: Simplify (+ 0 0) into 0 4.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.452 * [backup-simplify]: Simplify (+ 0 0) into 0 4.456 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.458 * [backup-simplify]: Simplify 3/16 into 3/16 4.458 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 4.458 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.458 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.458 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.458 * [taylor]: Taking taylor expansion of 1/2 in x 4.458 * [backup-simplify]: Simplify 1/2 into 1/2 4.458 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.458 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.458 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.458 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.458 * [taylor]: Taking taylor expansion of 1 in x 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [taylor]: Taking taylor expansion of 1 in x 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.458 * [taylor]: Taking taylor expansion of x in x 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.459 * [backup-simplify]: Simplify (/ 1 1) into 1 4.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.459 * [taylor]: Taking taylor expansion of x in x 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 1 into 1 4.459 * [backup-simplify]: Simplify (/ 1 1) into 1 4.459 * [backup-simplify]: Simplify (* 1 1) into 1 4.459 * [backup-simplify]: Simplify (+ 0 1) into 1 4.460 * [backup-simplify]: Simplify (sqrt 1) into 1 4.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.461 * [backup-simplify]: Simplify (+ 0 0) into 0 4.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.462 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.462 * [taylor]: Taking taylor expansion of 1/2 in x 4.462 * [backup-simplify]: Simplify 1/2 into 1/2 4.462 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.462 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.462 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.462 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.462 * [taylor]: Taking taylor expansion of 1 in x 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [taylor]: Taking taylor expansion of 1 in x 4.462 * [backup-simplify]: Simplify 1 into 1 4.462 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.462 * [taylor]: Taking taylor expansion of x in x 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 1 into 1 4.463 * [backup-simplify]: Simplify (/ 1 1) into 1 4.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.463 * [taylor]: Taking taylor expansion of x in x 4.463 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify 1 into 1 4.463 * [backup-simplify]: Simplify (/ 1 1) into 1 4.463 * [backup-simplify]: Simplify (* 1 1) into 1 4.464 * [backup-simplify]: Simplify (+ 0 1) into 1 4.464 * [backup-simplify]: Simplify (sqrt 1) into 1 4.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.466 * [backup-simplify]: Simplify 1/2 into 1/2 4.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify (* 1 1) into 1 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.469 * [backup-simplify]: Simplify (+ 1 0) into 1 4.470 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.471 * [backup-simplify]: Simplify -1/4 into -1/4 4.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.473 * [backup-simplify]: Simplify (+ 0 0) into 0 4.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.474 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.477 * [backup-simplify]: Simplify (+ 0 0) into 0 4.478 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.479 * [backup-simplify]: Simplify 3/16 into 3/16 4.479 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 4.479 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.479 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.479 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.479 * [taylor]: Taking taylor expansion of 1/2 in x 4.479 * [backup-simplify]: Simplify 1/2 into 1/2 4.479 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.479 * [taylor]: Taking taylor expansion of 1 in x 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [taylor]: Taking taylor expansion of 1 in x 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.480 * [taylor]: Taking taylor expansion of -1 in x 4.480 * [backup-simplify]: Simplify -1 into -1 4.480 * [taylor]: Taking taylor expansion of x in x 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [backup-simplify]: Simplify (/ -1 1) into -1 4.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.480 * [taylor]: Taking taylor expansion of -1 in x 4.480 * [backup-simplify]: Simplify -1 into -1 4.480 * [taylor]: Taking taylor expansion of x in x 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [backup-simplify]: Simplify (/ -1 1) into -1 4.481 * [backup-simplify]: Simplify (* -1 -1) into 1 4.481 * [backup-simplify]: Simplify (+ 0 1) into 1 4.481 * [backup-simplify]: Simplify (sqrt 1) into 1 4.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.482 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.483 * [backup-simplify]: Simplify (+ 0 0) into 0 4.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.483 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.483 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.483 * [taylor]: Taking taylor expansion of 1/2 in x 4.484 * [backup-simplify]: Simplify 1/2 into 1/2 4.484 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.484 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.484 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.484 * [taylor]: Taking taylor expansion of 1 in x 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [taylor]: Taking taylor expansion of 1 in x 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.484 * [taylor]: Taking taylor expansion of -1 in x 4.484 * [backup-simplify]: Simplify -1 into -1 4.484 * [taylor]: Taking taylor expansion of x in x 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [backup-simplify]: Simplify (/ -1 1) into -1 4.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.484 * [taylor]: Taking taylor expansion of -1 in x 4.484 * [backup-simplify]: Simplify -1 into -1 4.484 * [taylor]: Taking taylor expansion of x in x 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [backup-simplify]: Simplify (/ -1 1) into -1 4.485 * [backup-simplify]: Simplify (* -1 -1) into 1 4.485 * [backup-simplify]: Simplify (+ 0 1) into 1 4.485 * [backup-simplify]: Simplify (sqrt 1) into 1 4.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.487 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.487 * [backup-simplify]: Simplify (+ 0 0) into 0 4.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.488 * [backup-simplify]: Simplify 1/2 into 1/2 4.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (* 1 1) into 1 4.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.490 * [backup-simplify]: Simplify (+ 1 0) into 1 4.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.492 * [backup-simplify]: Simplify -1/4 into -1/4 4.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.495 * [backup-simplify]: Simplify (+ 0 0) into 0 4.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.500 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.500 * [backup-simplify]: Simplify (+ 0 0) into 0 4.501 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.502 * [backup-simplify]: Simplify 3/16 into 3/16 4.502 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 4.502 * * * [progress]: simplifying candidates 4.502 * * * * [progress]: [ 1 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 2 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 3 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 4 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 5 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 6 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 7 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 8 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 9 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 10 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 11 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 12 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 13 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 14 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 15 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 16 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 17 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 18 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 19 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 20 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 21 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 22 / 119 ] simplifiying candidate # 4.503 * * * * [progress]: [ 23 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 24 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 25 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 26 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 27 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 28 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 29 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 30 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 31 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 32 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 33 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 34 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 35 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 36 / 119 ] simplifiying candidate #real (real->posit16 (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 4.504 * * * * [progress]: [ 37 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 38 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 39 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 40 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 41 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 42 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 43 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 44 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 45 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 46 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 47 / 119 ] simplifiying candidate # 4.504 * * * * [progress]: [ 48 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 49 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 50 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 51 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 52 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 53 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 54 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 55 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 56 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 57 / 119 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 4.505 * * * * [progress]: [ 58 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 59 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 60 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 61 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 62 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 63 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 64 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 65 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 66 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 67 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 68 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 69 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 70 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 71 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 72 / 119 ] simplifiying candidate # 4.505 * * * * [progress]: [ 73 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 74 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 75 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 76 / 119 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 4.506 * * * * [progress]: [ 77 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 78 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 79 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 80 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 81 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 82 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 83 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 84 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 85 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 86 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 87 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 88 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 89 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 90 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 91 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 92 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 93 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 94 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 95 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 96 / 119 ] simplifiying candidate # 4.506 * * * * [progress]: [ 97 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 98 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 99 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 100 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 101 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 102 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 103 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 104 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 105 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 106 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 107 / 119 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))))> 4.507 * * * * [progress]: [ 108 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 109 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 110 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 111 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 112 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 113 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 114 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 115 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 116 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 117 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 118 / 119 ] simplifiying candidate # 4.507 * * * * [progress]: [ 119 / 119 ] simplifiying candidate # 4.509 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma (sqrt 1) (sqrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma (sqrt 1) (sqrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma 1 1 (- (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma 1 1 (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma 1 1 (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (expm1 (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (log1p (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (/ (exp 1) (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2))) (/ (exp 1) (exp (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (pow 1 3) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3)) (+ (* 1 1) (+ (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (* 1 (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (* 1 1) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (/ 1/2 (hypot 1 x))) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (real->posit16 (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (expm1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (expm1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log1p (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (exp (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)) (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (- 1/2) (- (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 11/128 (pow x 4)) 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)))))) (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 4.511 * * [simplify]: iteration 0: 211 enodes 4.581 * * [simplify]: iteration 1: 530 enodes 5.061 * * [simplify]: iteration 2: 1581 enodes 6.743 * * [simplify]: iteration 3: 4990 enodes 7.741 * * [simplify]: iteration complete: 5000 enodes 7.742 * * [simplify]: Extracting #0: cost 91 inf + 0 7.743 * * [simplify]: Extracting #1: cost 464 inf + 3 7.748 * * [simplify]: Extracting #2: cost 975 inf + 10136 7.764 * * [simplify]: Extracting #3: cost 532 inf + 83554 7.836 * * [simplify]: Extracting #4: cost 139 inf + 165138 7.895 * * [simplify]: Extracting #5: cost 21 inf + 199557 7.982 * * [simplify]: Extracting #6: cost 0 inf + 206761 8.074 * [simplify]: Simplified to: (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (expm1 (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (- 1 (+ 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)) -1/2) (exp (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (+ (/ -1/2 (hypot 1 x)) -1/2)) (exp (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (+ 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (/ -1/2 (hypot 1 x)) -1/2) (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1 (/ 1/2 (hypot 1 x))) (+ (/ -1/2 (hypot 1 x)) -1/2) (real->posit16 (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (fma (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 1/8)) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 1/2 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (expm1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (log1p (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (exp (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1) (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (real->posit16 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (fma 5/32 (* (* x x) (* (* x x) (* x x))) (fma (* x x) 1/4 (* (* (* x x) (* x x)) -3/16))) (fma (/ 1/2 x) (/ 1/2 (* x x)) (- 1/2 (/ 1/2 x))) (fma -1/4 (/ (/ 1 x) (* x x)) (fma (/ 1 x) 1/2 1/2)) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 1)) (- (+ (sqrt 1/2) (/ (/ 1/4 x) (sqrt 1/2))) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (- (- (sqrt 1/2) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (/ (/ 1/4 x) (sqrt 1/2))) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 2)) (- (+ (+ 1 (/ (/ 1/4 x) (sqrt 1/2))) (sqrt 1/2)) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (+ (/ -1/4 (* (sqrt 1/2) x)) (- (+ 1 (sqrt 1/2)) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2)))) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1/2)) (- (/ 1/2 x) (+ (/ (/ 1/4 x) (* x x)) (/ -3/16 (pow x 5)))) (+ (+ (/ (/ 1/4 x) (* x x)) (/ -3/16 (pow x 5))) (/ -1/2 x)) 8.087 * * * [progress]: adding candidates to table 8.651 * * [progress]: iteration 3 / 4 8.651 * * * [progress]: picking best candidate 8.676 * * * * [pick]: Picked # 8.676 * * * [progress]: localizing error 8.774 * * * [progress]: generating rewritten candidates 8.774 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.840 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 2) 8.855 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) 8.883 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 2) 8.926 * * * [progress]: generating series expansions 8.927 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.927 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 8.927 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 8.927 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.927 * [taylor]: Taking taylor expansion of 1/2 in x 8.927 * [backup-simplify]: Simplify 1/2 into 1/2 8.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.927 * [taylor]: Taking taylor expansion of 1/2 in x 8.927 * [backup-simplify]: Simplify 1/2 into 1/2 8.927 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.927 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.927 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.927 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.927 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.927 * [taylor]: Taking taylor expansion of 1 in x 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [taylor]: Taking taylor expansion of 1 in x 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [taylor]: Taking taylor expansion of (* x x) in x 8.927 * [taylor]: Taking taylor expansion of x in x 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 1 into 1 8.928 * [taylor]: Taking taylor expansion of x in x 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 1 into 1 8.928 * [backup-simplify]: Simplify (* 1 1) into 1 8.929 * [backup-simplify]: Simplify (* 0 0) into 0 8.929 * [backup-simplify]: Simplify (+ 1 0) into 1 8.930 * [backup-simplify]: Simplify (sqrt 1) into 1 8.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.931 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.932 * [backup-simplify]: Simplify (+ 0 0) into 0 8.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.933 * [backup-simplify]: Simplify (/ 1 1) into 1 8.933 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.933 * [taylor]: Taking taylor expansion of 1/2 in x 8.933 * [backup-simplify]: Simplify 1/2 into 1/2 8.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.933 * [taylor]: Taking taylor expansion of 1/2 in x 8.933 * [backup-simplify]: Simplify 1/2 into 1/2 8.933 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.933 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.933 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.933 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.933 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.933 * [taylor]: Taking taylor expansion of 1 in x 8.933 * [backup-simplify]: Simplify 1 into 1 8.933 * [taylor]: Taking taylor expansion of 1 in x 8.933 * [backup-simplify]: Simplify 1 into 1 8.933 * [taylor]: Taking taylor expansion of (* x x) in x 8.933 * [taylor]: Taking taylor expansion of x in x 8.933 * [backup-simplify]: Simplify 0 into 0 8.933 * [backup-simplify]: Simplify 1 into 1 8.933 * [taylor]: Taking taylor expansion of x in x 8.933 * [backup-simplify]: Simplify 0 into 0 8.933 * [backup-simplify]: Simplify 1 into 1 8.934 * [backup-simplify]: Simplify (* 1 1) into 1 8.934 * [backup-simplify]: Simplify (* 0 0) into 0 8.935 * [backup-simplify]: Simplify (+ 1 0) into 1 8.935 * [backup-simplify]: Simplify (sqrt 1) into 1 8.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.936 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.937 * [backup-simplify]: Simplify (+ 0 0) into 0 8.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.938 * [backup-simplify]: Simplify (/ 1 1) into 1 8.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.939 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.940 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.942 * [backup-simplify]: Simplify (- 0) into 0 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.944 * [backup-simplify]: Simplify (+ 0 1) into 1 8.945 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.948 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.948 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.949 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.949 * [backup-simplify]: Simplify 1/4 into 1/4 8.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.951 * [backup-simplify]: Simplify (+ 0 0) into 0 8.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.956 * [backup-simplify]: Simplify (- 0) into 0 8.956 * [backup-simplify]: Simplify (+ 0 0) into 0 8.956 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.959 * [backup-simplify]: Simplify (+ 0 0) into 0 8.960 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.964 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.964 * [backup-simplify]: Simplify (- 3/16) into -3/16 8.965 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 8.965 * [backup-simplify]: Simplify -3/16 into -3/16 8.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.968 * [backup-simplify]: Simplify (+ 0 0) into 0 8.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 8.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 8.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 8.975 * [backup-simplify]: Simplify (- 0) into 0 8.976 * [backup-simplify]: Simplify (+ 0 0) into 0 8.976 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.980 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.986 * [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 8.987 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 8.987 * [backup-simplify]: Simplify (- -5/32) into 5/32 8.988 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 8.988 * [backup-simplify]: Simplify 5/32 into 5/32 8.988 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 8.988 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 8.988 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 8.988 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.988 * [taylor]: Taking taylor expansion of 1/2 in x 8.988 * [backup-simplify]: Simplify 1/2 into 1/2 8.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.988 * [taylor]: Taking taylor expansion of 1/2 in x 8.988 * [backup-simplify]: Simplify 1/2 into 1/2 8.988 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.988 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.988 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.988 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.988 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.988 * [taylor]: Taking taylor expansion of 1 in x 8.988 * [backup-simplify]: Simplify 1 into 1 8.988 * [taylor]: Taking taylor expansion of 1 in x 8.988 * [backup-simplify]: Simplify 1 into 1 8.988 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.988 * [taylor]: Taking taylor expansion of x in x 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify 1 into 1 8.989 * [backup-simplify]: Simplify (/ 1 1) into 1 8.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.989 * [taylor]: Taking taylor expansion of x in x 8.989 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify 1 into 1 8.989 * [backup-simplify]: Simplify (/ 1 1) into 1 8.989 * [backup-simplify]: Simplify (* 1 1) into 1 8.990 * [backup-simplify]: Simplify (+ 0 1) into 1 8.990 * [backup-simplify]: Simplify (sqrt 1) into 1 8.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.991 * [backup-simplify]: Simplify (+ 0 0) into 0 8.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.992 * [backup-simplify]: Simplify (/ 1 1) into 1 8.992 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.992 * [taylor]: Taking taylor expansion of 1/2 in x 8.992 * [backup-simplify]: Simplify 1/2 into 1/2 8.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.992 * [taylor]: Taking taylor expansion of 1/2 in x 8.992 * [backup-simplify]: Simplify 1/2 into 1/2 8.992 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.992 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.992 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.992 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.992 * [taylor]: Taking taylor expansion of 1 in x 8.992 * [backup-simplify]: Simplify 1 into 1 8.992 * [taylor]: Taking taylor expansion of 1 in x 8.992 * [backup-simplify]: Simplify 1 into 1 8.992 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.992 * [taylor]: Taking taylor expansion of x in x 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 1 into 1 8.993 * [backup-simplify]: Simplify (/ 1 1) into 1 8.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.993 * [taylor]: Taking taylor expansion of x in x 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 1 into 1 8.993 * [backup-simplify]: Simplify (/ 1 1) into 1 8.993 * [backup-simplify]: Simplify (* 1 1) into 1 8.993 * [backup-simplify]: Simplify (+ 0 1) into 1 8.994 * [backup-simplify]: Simplify (sqrt 1) into 1 8.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.995 * [backup-simplify]: Simplify (+ 0 0) into 0 8.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.996 * [backup-simplify]: Simplify (/ 1 1) into 1 8.996 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.996 * [backup-simplify]: Simplify 1/2 into 1/2 8.997 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.997 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.997 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.997 * [backup-simplify]: Simplify -1/2 into -1/2 8.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.998 * [backup-simplify]: Simplify (- 0) into 0 8.998 * [backup-simplify]: Simplify (+ 0 0) into 0 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify (* 1 1) into 1 8.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.001 * [backup-simplify]: Simplify (+ 1 0) into 1 9.001 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.002 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.003 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.003 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.003 * [backup-simplify]: Simplify 1/4 into 1/4 9.003 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 9.003 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 9.003 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 9.003 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.003 * [taylor]: Taking taylor expansion of 1/2 in x 9.003 * [backup-simplify]: Simplify 1/2 into 1/2 9.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.003 * [taylor]: Taking taylor expansion of 1/2 in x 9.003 * [backup-simplify]: Simplify 1/2 into 1/2 9.004 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.004 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.004 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.004 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.004 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.004 * [taylor]: Taking taylor expansion of 1 in x 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [taylor]: Taking taylor expansion of 1 in x 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.004 * [taylor]: Taking taylor expansion of -1 in x 9.004 * [backup-simplify]: Simplify -1 into -1 9.004 * [taylor]: Taking taylor expansion of x in x 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (/ -1 1) into -1 9.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.004 * [taylor]: Taking taylor expansion of -1 in x 9.004 * [backup-simplify]: Simplify -1 into -1 9.004 * [taylor]: Taking taylor expansion of x in x 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (/ -1 1) into -1 9.005 * [backup-simplify]: Simplify (* -1 -1) into 1 9.005 * [backup-simplify]: Simplify (+ 0 1) into 1 9.005 * [backup-simplify]: Simplify (sqrt 1) into 1 9.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.007 * [backup-simplify]: Simplify (+ 0 0) into 0 9.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.008 * [backup-simplify]: Simplify (/ 1 1) into 1 9.008 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.008 * [taylor]: Taking taylor expansion of 1/2 in x 9.008 * [backup-simplify]: Simplify 1/2 into 1/2 9.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.008 * [taylor]: Taking taylor expansion of 1/2 in x 9.008 * [backup-simplify]: Simplify 1/2 into 1/2 9.008 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.008 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.008 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.008 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.008 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.008 * [taylor]: Taking taylor expansion of 1 in x 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [taylor]: Taking taylor expansion of 1 in x 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.008 * [taylor]: Taking taylor expansion of -1 in x 9.008 * [backup-simplify]: Simplify -1 into -1 9.008 * [taylor]: Taking taylor expansion of x in x 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [backup-simplify]: Simplify (/ -1 1) into -1 9.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.008 * [taylor]: Taking taylor expansion of -1 in x 9.008 * [backup-simplify]: Simplify -1 into -1 9.008 * [taylor]: Taking taylor expansion of x in x 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ -1 1) into -1 9.009 * [backup-simplify]: Simplify (* -1 -1) into 1 9.009 * [backup-simplify]: Simplify (+ 0 1) into 1 9.010 * [backup-simplify]: Simplify (sqrt 1) into 1 9.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.011 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.011 * [backup-simplify]: Simplify (+ 0 0) into 0 9.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.021 * [backup-simplify]: Simplify (/ 1 1) into 1 9.021 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.021 * [backup-simplify]: Simplify 1/2 into 1/2 9.022 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.022 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.023 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.023 * [backup-simplify]: Simplify -1/2 into -1/2 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.025 * [backup-simplify]: Simplify (- 0) into 0 9.025 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (* 1 1) into 1 9.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.029 * [backup-simplify]: Simplify (+ 1 0) into 1 9.030 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.033 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.033 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.033 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.034 * [backup-simplify]: Simplify 1/4 into 1/4 9.034 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 9.034 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2 2) 9.035 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 9.035 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 9.035 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 9.035 * [taylor]: Taking taylor expansion of 1/2 in x 9.035 * [backup-simplify]: Simplify 1/2 into 1/2 9.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.035 * [taylor]: Taking taylor expansion of 1/2 in x 9.035 * [backup-simplify]: Simplify 1/2 into 1/2 9.035 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.035 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.035 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.035 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.035 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.035 * [taylor]: Taking taylor expansion of 1 in x 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [taylor]: Taking taylor expansion of 1 in x 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [taylor]: Taking taylor expansion of (* x x) in x 9.035 * [taylor]: Taking taylor expansion of x in x 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [taylor]: Taking taylor expansion of x in x 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (* 1 1) into 1 9.036 * [backup-simplify]: Simplify (* 0 0) into 0 9.037 * [backup-simplify]: Simplify (+ 1 0) into 1 9.037 * [backup-simplify]: Simplify (sqrt 1) into 1 9.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.038 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.039 * [backup-simplify]: Simplify (+ 0 0) into 0 9.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.040 * [backup-simplify]: Simplify (/ 1 1) into 1 9.040 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 9.040 * [taylor]: Taking taylor expansion of 1/2 in x 9.040 * [backup-simplify]: Simplify 1/2 into 1/2 9.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.040 * [taylor]: Taking taylor expansion of 1/2 in x 9.040 * [backup-simplify]: Simplify 1/2 into 1/2 9.040 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.040 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.040 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.040 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.040 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.040 * [taylor]: Taking taylor expansion of 1 in x 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [taylor]: Taking taylor expansion of 1 in x 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [taylor]: Taking taylor expansion of (* x x) in x 9.040 * [taylor]: Taking taylor expansion of x in x 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [taylor]: Taking taylor expansion of x in x 9.041 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify 1 into 1 9.041 * [backup-simplify]: Simplify (* 1 1) into 1 9.041 * [backup-simplify]: Simplify (* 0 0) into 0 9.042 * [backup-simplify]: Simplify (+ 1 0) into 1 9.042 * [backup-simplify]: Simplify (sqrt 1) into 1 9.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.043 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.044 * [backup-simplify]: Simplify (+ 0 0) into 0 9.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.045 * [backup-simplify]: Simplify (/ 1 1) into 1 9.045 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.046 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.046 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 9.046 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.048 * [backup-simplify]: Simplify (- 0) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.051 * [backup-simplify]: Simplify (+ 0 1) into 1 9.052 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.054 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.054 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.055 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.055 * [backup-simplify]: Simplify 1/4 into 1/4 9.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.057 * [backup-simplify]: Simplify (+ 0 0) into 0 9.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.062 * [backup-simplify]: Simplify (- 0) into 0 9.063 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.067 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.070 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.071 * [backup-simplify]: Simplify (- 3/16) into -3/16 9.071 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.071 * [backup-simplify]: Simplify -3/16 into -3/16 9.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.075 * [backup-simplify]: Simplify (+ 0 0) into 0 9.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 9.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 9.081 * [backup-simplify]: Simplify (- 0) into 0 9.082 * [backup-simplify]: Simplify (+ 0 0) into 0 9.082 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.086 * [backup-simplify]: Simplify (+ 0 0) into 0 9.088 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 9.093 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 9.093 * [backup-simplify]: Simplify (- -5/32) into 5/32 9.094 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 9.094 * [backup-simplify]: Simplify 5/32 into 5/32 9.094 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 9.094 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 9.094 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 9.094 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 9.094 * [taylor]: Taking taylor expansion of 1/2 in x 9.094 * [backup-simplify]: Simplify 1/2 into 1/2 9.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.094 * [taylor]: Taking taylor expansion of 1/2 in x 9.094 * [backup-simplify]: Simplify 1/2 into 1/2 9.094 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.094 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.094 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.095 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.095 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.095 * [taylor]: Taking taylor expansion of 1 in x 9.095 * [backup-simplify]: Simplify 1 into 1 9.095 * [taylor]: Taking taylor expansion of 1 in x 9.095 * [backup-simplify]: Simplify 1 into 1 9.095 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.095 * [taylor]: Taking taylor expansion of x in x 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify 1 into 1 9.095 * [backup-simplify]: Simplify (/ 1 1) into 1 9.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.095 * [taylor]: Taking taylor expansion of x in x 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify 1 into 1 9.096 * [backup-simplify]: Simplify (/ 1 1) into 1 9.096 * [backup-simplify]: Simplify (* 1 1) into 1 9.096 * [backup-simplify]: Simplify (+ 0 1) into 1 9.097 * [backup-simplify]: Simplify (sqrt 1) into 1 9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.099 * [backup-simplify]: Simplify (+ 0 0) into 0 9.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.100 * [backup-simplify]: Simplify (/ 1 1) into 1 9.100 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 9.100 * [taylor]: Taking taylor expansion of 1/2 in x 9.101 * [backup-simplify]: Simplify 1/2 into 1/2 9.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.101 * [taylor]: Taking taylor expansion of 1/2 in x 9.101 * [backup-simplify]: Simplify 1/2 into 1/2 9.101 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.101 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.101 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.101 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.101 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.101 * [taylor]: Taking taylor expansion of 1 in x 9.101 * [backup-simplify]: Simplify 1 into 1 9.101 * [taylor]: Taking taylor expansion of 1 in x 9.101 * [backup-simplify]: Simplify 1 into 1 9.101 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.101 * [taylor]: Taking taylor expansion of x in x 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 1 into 1 9.101 * [backup-simplify]: Simplify (/ 1 1) into 1 9.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.101 * [taylor]: Taking taylor expansion of x in x 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 1 into 1 9.102 * [backup-simplify]: Simplify (/ 1 1) into 1 9.102 * [backup-simplify]: Simplify (* 1 1) into 1 9.102 * [backup-simplify]: Simplify (+ 0 1) into 1 9.102 * [backup-simplify]: Simplify (sqrt 1) into 1 9.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.104 * [backup-simplify]: Simplify (+ 0 0) into 0 9.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.105 * [backup-simplify]: Simplify (/ 1 1) into 1 9.105 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.105 * [backup-simplify]: Simplify 1/2 into 1/2 9.105 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.105 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.106 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.106 * [backup-simplify]: Simplify -1/2 into -1/2 9.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.107 * [backup-simplify]: Simplify (- 0) into 0 9.107 * [backup-simplify]: Simplify (+ 0 0) into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify (* 1 1) into 1 9.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.109 * [backup-simplify]: Simplify (+ 1 0) into 1 9.110 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.111 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.111 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.111 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.111 * [backup-simplify]: Simplify 1/4 into 1/4 9.112 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 9.112 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 9.112 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 9.112 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.112 * [taylor]: Taking taylor expansion of 1/2 in x 9.112 * [backup-simplify]: Simplify 1/2 into 1/2 9.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.112 * [taylor]: Taking taylor expansion of 1/2 in x 9.112 * [backup-simplify]: Simplify 1/2 into 1/2 9.112 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.112 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.112 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.112 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.112 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.112 * [taylor]: Taking taylor expansion of 1 in x 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of 1 in x 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.112 * [taylor]: Taking taylor expansion of -1 in x 9.112 * [backup-simplify]: Simplify -1 into -1 9.112 * [taylor]: Taking taylor expansion of x in x 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [backup-simplify]: Simplify (/ -1 1) into -1 9.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.113 * [taylor]: Taking taylor expansion of -1 in x 9.113 * [backup-simplify]: Simplify -1 into -1 9.113 * [taylor]: Taking taylor expansion of x in x 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 1 into 1 9.113 * [backup-simplify]: Simplify (/ -1 1) into -1 9.113 * [backup-simplify]: Simplify (* -1 -1) into 1 9.113 * [backup-simplify]: Simplify (+ 0 1) into 1 9.114 * [backup-simplify]: Simplify (sqrt 1) into 1 9.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.115 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.115 * [backup-simplify]: Simplify (+ 0 0) into 0 9.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.116 * [backup-simplify]: Simplify (/ 1 1) into 1 9.116 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.116 * [taylor]: Taking taylor expansion of 1/2 in x 9.116 * [backup-simplify]: Simplify 1/2 into 1/2 9.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.116 * [taylor]: Taking taylor expansion of 1/2 in x 9.116 * [backup-simplify]: Simplify 1/2 into 1/2 9.116 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.116 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.116 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.116 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.116 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.116 * [taylor]: Taking taylor expansion of 1 in x 9.116 * [backup-simplify]: Simplify 1 into 1 9.116 * [taylor]: Taking taylor expansion of 1 in x 9.116 * [backup-simplify]: Simplify 1 into 1 9.116 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.116 * [taylor]: Taking taylor expansion of -1 in x 9.116 * [backup-simplify]: Simplify -1 into -1 9.116 * [taylor]: Taking taylor expansion of x in x 9.116 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify 1 into 1 9.117 * [backup-simplify]: Simplify (/ -1 1) into -1 9.117 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.117 * [taylor]: Taking taylor expansion of -1 in x 9.117 * [backup-simplify]: Simplify -1 into -1 9.117 * [taylor]: Taking taylor expansion of x in x 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 1 into 1 9.117 * [backup-simplify]: Simplify (/ -1 1) into -1 9.117 * [backup-simplify]: Simplify (* -1 -1) into 1 9.117 * [backup-simplify]: Simplify (+ 0 1) into 1 9.118 * [backup-simplify]: Simplify (sqrt 1) into 1 9.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.119 * [backup-simplify]: Simplify (+ 0 0) into 0 9.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.120 * [backup-simplify]: Simplify (/ 1 1) into 1 9.120 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.120 * [backup-simplify]: Simplify 1/2 into 1/2 9.121 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.121 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.121 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.121 * [backup-simplify]: Simplify -1/2 into -1/2 9.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.122 * [backup-simplify]: Simplify (- 0) into 0 9.122 * [backup-simplify]: Simplify (+ 0 0) into 0 9.122 * [backup-simplify]: Simplify 0 into 0 9.123 * [backup-simplify]: Simplify (* 1 1) into 1 9.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.124 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.125 * [backup-simplify]: Simplify (+ 1 0) into 1 9.125 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.127 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.128 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.129 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.129 * [backup-simplify]: Simplify 1/4 into 1/4 9.129 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 9.129 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2) 9.129 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) into (/ 1/4 (pow (hypot 1 x) 2)) 9.129 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in (x) around 0 9.129 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in x 9.129 * [taylor]: Taking taylor expansion of 1/4 in x 9.129 * [backup-simplify]: Simplify 1/4 into 1/4 9.129 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 9.129 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.129 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.130 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.130 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.130 * [taylor]: Taking taylor expansion of 1 in x 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [taylor]: Taking taylor expansion of 1 in x 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [taylor]: Taking taylor expansion of (* x x) in x 9.130 * [taylor]: Taking taylor expansion of x in x 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [taylor]: Taking taylor expansion of x in x 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (* 1 1) into 1 9.131 * [backup-simplify]: Simplify (* 0 0) into 0 9.131 * [backup-simplify]: Simplify (+ 1 0) into 1 9.131 * [backup-simplify]: Simplify (sqrt 1) into 1 9.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.133 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.133 * [backup-simplify]: Simplify (+ 0 0) into 0 9.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.134 * [backup-simplify]: Simplify (* 1 1) into 1 9.134 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.134 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in x 9.134 * [taylor]: Taking taylor expansion of 1/4 in x 9.134 * [backup-simplify]: Simplify 1/4 into 1/4 9.134 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 9.134 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.135 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.135 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.135 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.135 * [taylor]: Taking taylor expansion of 1 in x 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [taylor]: Taking taylor expansion of 1 in x 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [taylor]: Taking taylor expansion of (* x x) in x 9.135 * [taylor]: Taking taylor expansion of x in x 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [taylor]: Taking taylor expansion of x in x 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [backup-simplify]: Simplify (* 1 1) into 1 9.136 * [backup-simplify]: Simplify (* 0 0) into 0 9.136 * [backup-simplify]: Simplify (+ 1 0) into 1 9.136 * [backup-simplify]: Simplify (sqrt 1) into 1 9.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.138 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.138 * [backup-simplify]: Simplify (+ 0 0) into 0 9.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.139 * [backup-simplify]: Simplify (* 1 1) into 1 9.139 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.139 * [backup-simplify]: Simplify 1/4 into 1/4 9.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.142 * [backup-simplify]: Simplify (+ 0 1) into 1 9.143 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.144 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 9.145 * [backup-simplify]: Simplify -1/4 into -1/4 9.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.153 * [backup-simplify]: Simplify (+ 0 0) into 0 9.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 9.155 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.157 * [backup-simplify]: Simplify (+ 0 0) into 0 9.158 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.159 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 9.159 * [backup-simplify]: Simplify 1/4 into 1/4 9.160 * [backup-simplify]: Simplify (+ (* 1/4 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/4)) into (- (+ (* 1/4 (pow x 4)) 1/4) (* 1/4 (pow x 2))) 9.160 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 1/2 (hypot 1 (/ 1 x)))) into (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) 9.160 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in (x) around 0 9.160 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in x 9.160 * [taylor]: Taking taylor expansion of 1/4 in x 9.160 * [backup-simplify]: Simplify 1/4 into 1/4 9.160 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 9.160 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.160 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.160 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.160 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.160 * [taylor]: Taking taylor expansion of 1 in x 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [taylor]: Taking taylor expansion of 1 in x 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.160 * [taylor]: Taking taylor expansion of x in x 9.160 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [backup-simplify]: Simplify (/ 1 1) into 1 9.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.160 * [taylor]: Taking taylor expansion of x in x 9.160 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify 1 into 1 9.161 * [backup-simplify]: Simplify (/ 1 1) into 1 9.161 * [backup-simplify]: Simplify (* 1 1) into 1 9.161 * [backup-simplify]: Simplify (+ 0 1) into 1 9.161 * [backup-simplify]: Simplify (sqrt 1) into 1 9.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.163 * [backup-simplify]: Simplify (+ 0 0) into 0 9.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.164 * [backup-simplify]: Simplify (* 1 1) into 1 9.164 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.164 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in x 9.164 * [taylor]: Taking taylor expansion of 1/4 in x 9.164 * [backup-simplify]: Simplify 1/4 into 1/4 9.164 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 9.164 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.164 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.164 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.164 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.164 * [taylor]: Taking taylor expansion of 1 in x 9.164 * [backup-simplify]: Simplify 1 into 1 9.164 * [taylor]: Taking taylor expansion of 1 in x 9.164 * [backup-simplify]: Simplify 1 into 1 9.164 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.164 * [taylor]: Taking taylor expansion of x in x 9.164 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify 1 into 1 9.165 * [backup-simplify]: Simplify (/ 1 1) into 1 9.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.165 * [taylor]: Taking taylor expansion of x in x 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 1 into 1 9.165 * [backup-simplify]: Simplify (/ 1 1) into 1 9.165 * [backup-simplify]: Simplify (* 1 1) into 1 9.165 * [backup-simplify]: Simplify (+ 0 1) into 1 9.166 * [backup-simplify]: Simplify (sqrt 1) into 1 9.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.167 * [backup-simplify]: Simplify (+ 0 0) into 0 9.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.168 * [backup-simplify]: Simplify (* 1 1) into 1 9.168 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.168 * [backup-simplify]: Simplify 1/4 into 1/4 9.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify (* 1 1) into 1 9.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.171 * [backup-simplify]: Simplify (+ 1 0) into 1 9.172 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.172 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 9.173 * [backup-simplify]: Simplify -1/4 into -1/4 9.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (+ 0 0) into 0 9.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 9.178 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.182 * [backup-simplify]: Simplify (+ 0 0) into 0 9.183 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.185 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 9.186 * [backup-simplify]: Simplify 1/4 into 1/4 9.186 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 6)) (+ (* -1/4 (pow (/ 1 x) 4)) (* 1/4 (pow (/ 1 x) 2)))) into (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) 9.187 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (/ 1/2 (hypot 1 (/ 1 (- x))))) into (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) 9.187 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in (x) around 0 9.187 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in x 9.187 * [taylor]: Taking taylor expansion of 1/4 in x 9.187 * [backup-simplify]: Simplify 1/4 into 1/4 9.187 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 9.187 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.187 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.187 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.187 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.187 * [taylor]: Taking taylor expansion of 1 in x 9.187 * [backup-simplify]: Simplify 1 into 1 9.187 * [taylor]: Taking taylor expansion of 1 in x 9.187 * [backup-simplify]: Simplify 1 into 1 9.187 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.187 * [taylor]: Taking taylor expansion of -1 in x 9.187 * [backup-simplify]: Simplify -1 into -1 9.187 * [taylor]: Taking taylor expansion of x in x 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify 1 into 1 9.188 * [backup-simplify]: Simplify (/ -1 1) into -1 9.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.188 * [taylor]: Taking taylor expansion of -1 in x 9.188 * [backup-simplify]: Simplify -1 into -1 9.188 * [taylor]: Taking taylor expansion of x in x 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 1 into 1 9.189 * [backup-simplify]: Simplify (/ -1 1) into -1 9.189 * [backup-simplify]: Simplify (* -1 -1) into 1 9.189 * [backup-simplify]: Simplify (+ 0 1) into 1 9.190 * [backup-simplify]: Simplify (sqrt 1) into 1 9.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.192 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.192 * [backup-simplify]: Simplify (+ 0 0) into 0 9.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.193 * [backup-simplify]: Simplify (* 1 1) into 1 9.194 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.194 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in x 9.194 * [taylor]: Taking taylor expansion of 1/4 in x 9.194 * [backup-simplify]: Simplify 1/4 into 1/4 9.194 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 9.194 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.194 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.194 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.194 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.194 * [taylor]: Taking taylor expansion of 1 in x 9.194 * [backup-simplify]: Simplify 1 into 1 9.194 * [taylor]: Taking taylor expansion of 1 in x 9.194 * [backup-simplify]: Simplify 1 into 1 9.194 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.194 * [taylor]: Taking taylor expansion of -1 in x 9.194 * [backup-simplify]: Simplify -1 into -1 9.194 * [taylor]: Taking taylor expansion of x in x 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (/ -1 1) into -1 9.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.195 * [taylor]: Taking taylor expansion of -1 in x 9.195 * [backup-simplify]: Simplify -1 into -1 9.195 * [taylor]: Taking taylor expansion of x in x 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (/ -1 1) into -1 9.195 * [backup-simplify]: Simplify (* -1 -1) into 1 9.196 * [backup-simplify]: Simplify (+ 0 1) into 1 9.196 * [backup-simplify]: Simplify (sqrt 1) into 1 9.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.198 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.200 * [backup-simplify]: Simplify (* 1 1) into 1 9.200 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.200 * [backup-simplify]: Simplify 1/4 into 1/4 9.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 9.202 * [backup-simplify]: Simplify 0 into 0 9.202 * [backup-simplify]: Simplify (* 1 1) into 1 9.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.205 * [backup-simplify]: Simplify (+ 1 0) into 1 9.206 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.207 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 9.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 1 1)) (* 0 (/ 0 1)))) into -1/4 9.208 * [backup-simplify]: Simplify -1/4 into -1/4 9.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.211 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.212 * [backup-simplify]: Simplify (+ 0 0) into 0 9.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 9.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1 1)) (* -1/4 (/ 0 1)))) into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 9.217 * [backup-simplify]: Simplify (+ 0 0) into 0 9.218 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.219 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 9.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1 1)) (* 0 (/ 0 1)))) into 1/4 9.220 * [backup-simplify]: Simplify 1/4 into 1/4 9.220 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 6)) (+ (* -1/4 (pow (/ 1 (- x)) 4)) (* 1/4 (pow (/ 1 (- x)) 2)))) into (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) 9.220 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 2) 9.220 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) into (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (hypot 1 x))) 9.220 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (hypot 1 x))) in (x) around 0 9.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (hypot 1 x))) in x 9.220 * [taylor]: Taking taylor expansion of 1/2 in x 9.220 * [backup-simplify]: Simplify 1/2 into 1/2 9.220 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (hypot 1 x)) in x 9.220 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 9.220 * [taylor]: Taking taylor expansion of 1/2 in x 9.220 * [backup-simplify]: Simplify 1/2 into 1/2 9.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.220 * [taylor]: Taking taylor expansion of 1/2 in x 9.220 * [backup-simplify]: Simplify 1/2 into 1/2 9.220 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.220 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.220 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.220 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.220 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.220 * [taylor]: Taking taylor expansion of 1 in x 9.221 * [backup-simplify]: Simplify 1 into 1 9.221 * [taylor]: Taking taylor expansion of 1 in x 9.221 * [backup-simplify]: Simplify 1 into 1 9.221 * [taylor]: Taking taylor expansion of (* x x) in x 9.221 * [taylor]: Taking taylor expansion of x in x 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 1 into 1 9.221 * [taylor]: Taking taylor expansion of x in x 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (* 1 1) into 1 9.221 * [backup-simplify]: Simplify (* 0 0) into 0 9.221 * [backup-simplify]: Simplify (+ 1 0) into 1 9.222 * [backup-simplify]: Simplify (sqrt 1) into 1 9.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.222 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.223 * [backup-simplify]: Simplify (+ 0 0) into 0 9.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.223 * [backup-simplify]: Simplify (/ 1 1) into 1 9.223 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.223 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.223 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.223 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.223 * [taylor]: Taking taylor expansion of 1 in x 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [taylor]: Taking taylor expansion of 1 in x 9.223 * [backup-simplify]: Simplify 1 into 1 9.224 * [taylor]: Taking taylor expansion of (* x x) in x 9.224 * [taylor]: Taking taylor expansion of x in x 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [taylor]: Taking taylor expansion of x in x 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [backup-simplify]: Simplify (* 1 1) into 1 9.224 * [backup-simplify]: Simplify (* 0 0) into 0 9.224 * [backup-simplify]: Simplify (+ 1 0) into 1 9.225 * [backup-simplify]: Simplify (sqrt 1) into 1 9.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.225 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.226 * [backup-simplify]: Simplify (+ 0 0) into 0 9.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.226 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.227 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.227 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 9.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.228 * [backup-simplify]: Simplify (- 0) into 0 9.228 * [backup-simplify]: Simplify (+ 0 0) into 0 9.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.229 * [backup-simplify]: Simplify (+ 0 1) into 1 9.230 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.231 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.231 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.232 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.232 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (hypot 1 x))) in x 9.232 * [taylor]: Taking taylor expansion of 1/2 in x 9.232 * [backup-simplify]: Simplify 1/2 into 1/2 9.232 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (hypot 1 x)) in x 9.232 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 9.232 * [taylor]: Taking taylor expansion of 1/2 in x 9.232 * [backup-simplify]: Simplify 1/2 into 1/2 9.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.232 * [taylor]: Taking taylor expansion of 1/2 in x 9.232 * [backup-simplify]: Simplify 1/2 into 1/2 9.232 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.232 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.232 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.232 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.232 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.232 * [taylor]: Taking taylor expansion of 1 in x 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [taylor]: Taking taylor expansion of 1 in x 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [taylor]: Taking taylor expansion of (* x x) in x 9.232 * [taylor]: Taking taylor expansion of x in x 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [taylor]: Taking taylor expansion of x in x 9.232 * [backup-simplify]: Simplify 0 into 0 9.233 * [backup-simplify]: Simplify 1 into 1 9.233 * [backup-simplify]: Simplify (* 1 1) into 1 9.233 * [backup-simplify]: Simplify (* 0 0) into 0 9.233 * [backup-simplify]: Simplify (+ 1 0) into 1 9.234 * [backup-simplify]: Simplify (sqrt 1) into 1 9.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.234 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.235 * [backup-simplify]: Simplify (+ 0 0) into 0 9.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.235 * [backup-simplify]: Simplify (/ 1 1) into 1 9.235 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.235 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.235 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.235 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.235 * [taylor]: Taking taylor expansion of 1 in x 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [taylor]: Taking taylor expansion of 1 in x 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [taylor]: Taking taylor expansion of (* x x) in x 9.236 * [taylor]: Taking taylor expansion of x in x 9.236 * [backup-simplify]: Simplify 0 into 0 9.236 * [backup-simplify]: Simplify 1 into 1 9.236 * [taylor]: Taking taylor expansion of x in x 9.236 * [backup-simplify]: Simplify 0 into 0 9.236 * [backup-simplify]: Simplify 1 into 1 9.236 * [backup-simplify]: Simplify (* 1 1) into 1 9.236 * [backup-simplify]: Simplify (* 0 0) into 0 9.236 * [backup-simplify]: Simplify (+ 1 0) into 1 9.237 * [backup-simplify]: Simplify (sqrt 1) into 1 9.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.237 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.238 * [backup-simplify]: Simplify (+ 0 0) into 0 9.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.238 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.238 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.239 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 9.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.240 * [backup-simplify]: Simplify (- 0) into 0 9.240 * [backup-simplify]: Simplify (+ 0 0) into 0 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.242 * [backup-simplify]: Simplify (+ 0 1) into 1 9.243 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.245 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.245 * [backup-simplify]: Simplify (- -1/4) into 1/4 9.246 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.246 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 9.247 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.247 * [backup-simplify]: Simplify 1/8 into 1/8 9.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.250 * [backup-simplify]: Simplify (+ 0 0) into 0 9.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.255 * [backup-simplify]: Simplify (+ 0 0) into 0 9.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 9.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/4)) into 0 9.262 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.265 * [backup-simplify]: Simplify (+ 0 0) into 0 9.267 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.270 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.270 * [backup-simplify]: Simplify (- 3/16) into -3/16 9.270 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.272 * [backup-simplify]: Simplify (+ 0 1) into 1 9.272 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.273 * [backup-simplify]: Simplify (- (/ -3/16 1) (+ (* 1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 9.274 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (* 0 1/4))) into -5/32 9.274 * [backup-simplify]: Simplify -5/32 into -5/32 9.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.276 * [backup-simplify]: Simplify (+ 0 0) into 0 9.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 9.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 9.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 9.280 * [backup-simplify]: Simplify (- 0) into 0 9.280 * [backup-simplify]: Simplify (+ 0 0) into 0 9.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.281 * [backup-simplify]: Simplify (+ 0 0) into 0 9.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 1/2 1)) (* -5/16 (/ 0 1)))) into 0 9.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -5/16) (+ (* 0 0) (* 0 1/4)))) into 0 9.284 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.286 * [backup-simplify]: Simplify (+ 0 0) into 0 9.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.288 * [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 9.290 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 9.290 * [backup-simplify]: Simplify (- -5/32) into 5/32 9.290 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 9.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.292 * [backup-simplify]: Simplify (+ 0 0) into 0 9.292 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.294 * [backup-simplify]: Simplify (- (/ 5/32 1) (+ (* 1/4 (/ -1/8 1)) (* 0 (/ 0 1)) (* -5/16 (/ 1/2 1)) (* 0 (/ 0 1)))) into 11/32 9.296 * [backup-simplify]: Simplify (+ (* 1/2 11/32) (+ (* 0 0) (+ (* 0 -5/16) (+ (* 0 0) (* 0 1/4))))) into 11/64 9.296 * [backup-simplify]: Simplify 11/64 into 11/64 9.296 * [backup-simplify]: Simplify (+ (* 11/64 (pow x 6)) (+ (* -5/32 (pow x 4)) (* 1/8 (pow x 2)))) into (- (+ (* 1/8 (pow x 2)) (* 11/64 (pow x 6))) (* 5/32 (pow x 4))) 9.297 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 x))) (- 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (hypot 1 (/ 1 x)))) 9.297 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (hypot 1 (/ 1 x)))) in (x) around 0 9.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (hypot 1 (/ 1 x)))) in x 9.297 * [taylor]: Taking taylor expansion of 1/2 in x 9.297 * [backup-simplify]: Simplify 1/2 into 1/2 9.297 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (hypot 1 (/ 1 x))) in x 9.297 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 9.297 * [taylor]: Taking taylor expansion of 1/2 in x 9.297 * [backup-simplify]: Simplify 1/2 into 1/2 9.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.297 * [taylor]: Taking taylor expansion of 1/2 in x 9.297 * [backup-simplify]: Simplify 1/2 into 1/2 9.297 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.297 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.297 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.297 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.297 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.297 * [taylor]: Taking taylor expansion of 1 in x 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [taylor]: Taking taylor expansion of 1 in x 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.297 * [taylor]: Taking taylor expansion of x in x 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (/ 1 1) into 1 9.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.298 * [taylor]: Taking taylor expansion of x in x 9.298 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (/ 1 1) into 1 9.299 * [backup-simplify]: Simplify (* 1 1) into 1 9.299 * [backup-simplify]: Simplify (+ 0 1) into 1 9.300 * [backup-simplify]: Simplify (sqrt 1) into 1 9.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.302 * [backup-simplify]: Simplify (+ 0 0) into 0 9.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.303 * [backup-simplify]: Simplify (/ 1 1) into 1 9.303 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.303 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.304 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.304 * [taylor]: Taking taylor expansion of 1 in x 9.304 * [backup-simplify]: Simplify 1 into 1 9.304 * [taylor]: Taking taylor expansion of 1 in x 9.304 * [backup-simplify]: Simplify 1 into 1 9.304 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.304 * [taylor]: Taking taylor expansion of x in x 9.304 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify 1 into 1 9.304 * [backup-simplify]: Simplify (/ 1 1) into 1 9.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.304 * [taylor]: Taking taylor expansion of x in x 9.304 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify 1 into 1 9.305 * [backup-simplify]: Simplify (/ 1 1) into 1 9.305 * [backup-simplify]: Simplify (* 1 1) into 1 9.305 * [backup-simplify]: Simplify (+ 0 1) into 1 9.306 * [backup-simplify]: Simplify (sqrt 1) into 1 9.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.308 * [backup-simplify]: Simplify (+ 0 0) into 0 9.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.310 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (hypot 1 (/ 1 x)))) in x 9.310 * [taylor]: Taking taylor expansion of 1/2 in x 9.310 * [backup-simplify]: Simplify 1/2 into 1/2 9.310 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (hypot 1 (/ 1 x))) in x 9.311 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 9.311 * [taylor]: Taking taylor expansion of 1/2 in x 9.311 * [backup-simplify]: Simplify 1/2 into 1/2 9.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.311 * [taylor]: Taking taylor expansion of 1/2 in x 9.311 * [backup-simplify]: Simplify 1/2 into 1/2 9.311 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.311 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.311 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.311 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.311 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.311 * [taylor]: Taking taylor expansion of 1 in x 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [taylor]: Taking taylor expansion of 1 in x 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.311 * [taylor]: Taking taylor expansion of x in x 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [backup-simplify]: Simplify (/ 1 1) into 1 9.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.311 * [taylor]: Taking taylor expansion of x in x 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (/ 1 1) into 1 9.312 * [backup-simplify]: Simplify (* 1 1) into 1 9.313 * [backup-simplify]: Simplify (+ 0 1) into 1 9.313 * [backup-simplify]: Simplify (sqrt 1) into 1 9.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.316 * [backup-simplify]: Simplify (+ 0 0) into 0 9.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.317 * [backup-simplify]: Simplify (/ 1 1) into 1 9.317 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.317 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.317 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.317 * [taylor]: Taking taylor expansion of 1 in x 9.317 * [backup-simplify]: Simplify 1 into 1 9.317 * [taylor]: Taking taylor expansion of 1 in x 9.317 * [backup-simplify]: Simplify 1 into 1 9.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.317 * [taylor]: Taking taylor expansion of x in x 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.317 * [backup-simplify]: Simplify (/ 1 1) into 1 9.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.317 * [taylor]: Taking taylor expansion of x in x 9.317 * [backup-simplify]: Simplify 0 into 0 9.318 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (/ 1 1) into 1 9.318 * [backup-simplify]: Simplify (* 1 1) into 1 9.318 * [backup-simplify]: Simplify (+ 0 1) into 1 9.318 * [backup-simplify]: Simplify (sqrt 1) into 1 9.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.320 * [backup-simplify]: Simplify (+ 0 0) into 0 9.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.321 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.321 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.321 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.321 * [backup-simplify]: Simplify 1/4 into 1/4 9.322 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.322 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.322 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.323 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1/2 (/ 0 1)))) into -1/2 9.323 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* 0 1/2)) into -1/4 9.323 * [backup-simplify]: Simplify -1/4 into -1/4 9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.324 * [backup-simplify]: Simplify (- 0) into 0 9.325 * [backup-simplify]: Simplify (+ 0 0) into 0 9.325 * [backup-simplify]: Simplify (* 1 1) into 1 9.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.327 * [backup-simplify]: Simplify (+ 1 0) into 1 9.327 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into -1/4 9.329 * [backup-simplify]: Simplify (+ (* 1/2 -1/4) (+ (* 0 -1/2) (* 0 1/2))) into -1/8 9.329 * [backup-simplify]: Simplify -1/8 into -1/8 9.329 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/4 (pow (/ 1 x) 2)) (* 1/4 (/ 1 x)))) into (- (* 1/4 (/ 1 x)) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) 9.329 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (hypot 1 (/ -1 x)))) 9.329 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (hypot 1 (/ -1 x)))) in (x) around 0 9.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (hypot 1 (/ -1 x)))) in x 9.329 * [taylor]: Taking taylor expansion of 1/2 in x 9.329 * [backup-simplify]: Simplify 1/2 into 1/2 9.329 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (hypot 1 (/ -1 x))) in x 9.329 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.329 * [taylor]: Taking taylor expansion of 1/2 in x 9.329 * [backup-simplify]: Simplify 1/2 into 1/2 9.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.329 * [taylor]: Taking taylor expansion of 1/2 in x 9.329 * [backup-simplify]: Simplify 1/2 into 1/2 9.329 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.329 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.329 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.329 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.329 * [taylor]: Taking taylor expansion of 1 in x 9.329 * [backup-simplify]: Simplify 1 into 1 9.329 * [taylor]: Taking taylor expansion of 1 in x 9.329 * [backup-simplify]: Simplify 1 into 1 9.329 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.329 * [taylor]: Taking taylor expansion of -1 in x 9.329 * [backup-simplify]: Simplify -1 into -1 9.329 * [taylor]: Taking taylor expansion of x in x 9.329 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 1 into 1 9.330 * [backup-simplify]: Simplify (/ -1 1) into -1 9.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.330 * [taylor]: Taking taylor expansion of -1 in x 9.330 * [backup-simplify]: Simplify -1 into -1 9.330 * [taylor]: Taking taylor expansion of x in x 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 1 into 1 9.330 * [backup-simplify]: Simplify (/ -1 1) into -1 9.330 * [backup-simplify]: Simplify (* -1 -1) into 1 9.331 * [backup-simplify]: Simplify (+ 0 1) into 1 9.331 * [backup-simplify]: Simplify (sqrt 1) into 1 9.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.332 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.333 * [backup-simplify]: Simplify (+ 0 0) into 0 9.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.333 * [backup-simplify]: Simplify (/ 1 1) into 1 9.333 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.333 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.333 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.333 * [taylor]: Taking taylor expansion of 1 in x 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [taylor]: Taking taylor expansion of 1 in x 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.333 * [taylor]: Taking taylor expansion of -1 in x 9.334 * [backup-simplify]: Simplify -1 into -1 9.334 * [taylor]: Taking taylor expansion of x in x 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [backup-simplify]: Simplify (/ -1 1) into -1 9.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.334 * [taylor]: Taking taylor expansion of -1 in x 9.334 * [backup-simplify]: Simplify -1 into -1 9.334 * [taylor]: Taking taylor expansion of x in x 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [backup-simplify]: Simplify (/ -1 1) into -1 9.334 * [backup-simplify]: Simplify (* -1 -1) into 1 9.335 * [backup-simplify]: Simplify (+ 0 1) into 1 9.335 * [backup-simplify]: Simplify (sqrt 1) into 1 9.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.336 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.337 * [backup-simplify]: Simplify (+ 0 0) into 0 9.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.337 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (hypot 1 (/ -1 x)))) in x 9.338 * [taylor]: Taking taylor expansion of 1/2 in x 9.338 * [backup-simplify]: Simplify 1/2 into 1/2 9.338 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (hypot 1 (/ -1 x))) in x 9.338 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 9.338 * [taylor]: Taking taylor expansion of 1/2 in x 9.338 * [backup-simplify]: Simplify 1/2 into 1/2 9.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.338 * [taylor]: Taking taylor expansion of 1/2 in x 9.338 * [backup-simplify]: Simplify 1/2 into 1/2 9.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.338 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.338 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.338 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.338 * [taylor]: Taking taylor expansion of 1 in x 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of 1 in x 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.338 * [taylor]: Taking taylor expansion of -1 in x 9.338 * [backup-simplify]: Simplify -1 into -1 9.338 * [taylor]: Taking taylor expansion of x in x 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [backup-simplify]: Simplify (/ -1 1) into -1 9.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.338 * [taylor]: Taking taylor expansion of -1 in x 9.338 * [backup-simplify]: Simplify -1 into -1 9.338 * [taylor]: Taking taylor expansion of x in x 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.339 * [backup-simplify]: Simplify (/ -1 1) into -1 9.339 * [backup-simplify]: Simplify (* -1 -1) into 1 9.339 * [backup-simplify]: Simplify (+ 0 1) into 1 9.339 * [backup-simplify]: Simplify (sqrt 1) into 1 9.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.341 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.341 * [backup-simplify]: Simplify (+ 0 0) into 0 9.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.342 * [backup-simplify]: Simplify (/ 1 1) into 1 9.342 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.342 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.342 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.342 * [taylor]: Taking taylor expansion of 1 in x 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [taylor]: Taking taylor expansion of 1 in x 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.342 * [taylor]: Taking taylor expansion of -1 in x 9.342 * [backup-simplify]: Simplify -1 into -1 9.342 * [taylor]: Taking taylor expansion of x in x 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.343 * [backup-simplify]: Simplify (/ -1 1) into -1 9.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.343 * [taylor]: Taking taylor expansion of -1 in x 9.343 * [backup-simplify]: Simplify -1 into -1 9.343 * [taylor]: Taking taylor expansion of x in x 9.343 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify 1 into 1 9.343 * [backup-simplify]: Simplify (/ -1 1) into -1 9.343 * [backup-simplify]: Simplify (* -1 -1) into 1 9.344 * [backup-simplify]: Simplify (+ 0 1) into 1 9.344 * [backup-simplify]: Simplify (sqrt 1) into 1 9.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.345 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.345 * [backup-simplify]: Simplify (+ 0 0) into 0 9.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.346 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.346 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.347 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.347 * [backup-simplify]: Simplify 1/4 into 1/4 9.347 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.347 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.347 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.348 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* 1/2 (/ 0 1)))) into -1/2 9.349 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* 0 1/2)) into -1/4 9.349 * [backup-simplify]: Simplify -1/4 into -1/4 9.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.350 * [backup-simplify]: Simplify (- 0) into 0 9.350 * [backup-simplify]: Simplify (+ 0 0) into 0 9.351 * [backup-simplify]: Simplify (* 1 1) into 1 9.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.354 * [backup-simplify]: Simplify (+ 1 0) into 1 9.354 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into -1/4 9.357 * [backup-simplify]: Simplify (+ (* 1/2 -1/4) (+ (* 0 -1/2) (* 0 1/2))) into -1/8 9.357 * [backup-simplify]: Simplify -1/8 into -1/8 9.357 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/4 (pow (/ 1 (- x)) 2)) (* 1/4 (/ 1 (- x))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 x)))) 9.357 * * * [progress]: simplifying candidates 9.357 * * * * [progress]: [ 1 / 302 ] simplifiying candidate # 9.357 * * * * [progress]: [ 2 / 302 ] simplifiying candidate # 9.357 * * * * [progress]: [ 3 / 302 ] simplifiying candidate # 9.357 * * * * [progress]: [ 4 / 302 ] simplifiying candidate # 9.358 * * * * [progress]: [ 5 / 302 ] simplifiying candidate # 9.358 * * * * [progress]: [ 6 / 302 ] simplifiying candidate # 9.358 * * * * [progress]: [ 7 / 302 ] simplifiying candidate # 9.358 * * * * [progress]: [ 8 / 302 ] simplifiying candidate # 9.358 * * * * [progress]: [ 9 / 302 ] simplifiying candidate # 9.358 * * * * [progress]: [ 10 / 302 ] simplifiying 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* [progress]: [ 100 / 302 ] simplifiying candidate # 9.365 * * * * [progress]: [ 101 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 102 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 103 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 104 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 105 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 106 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 107 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 108 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 109 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 110 / 302 ] simplifiying candidate # 9.366 * * * * [progress]: [ 111 / 302 ] simplifiying candidate # 9.367 * * * * [progress]: [ 112 / 302 ] simplifiying candidate # 9.367 * * * * [progress]: [ 113 / 302 ] simplifiying candidate # 9.367 * * * * [progress]: [ 114 / 302 ] simplifiying candidate # 9.367 * * * * [progress]: [ 115 / 302 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302 ] simplifiying candidate # 9.391 * * * * [progress]: [ 297 / 302 ] simplifiying candidate # 9.391 * * * * [progress]: [ 298 / 302 ] simplifiying candidate # 9.391 * * * * [progress]: [ 299 / 302 ] simplifiying candidate # 9.391 * * * * [progress]: [ 300 / 302 ] simplifiying candidate # 9.391 * * * * [progress]: [ 301 / 302 ] simplifiying candidate # 9.391 * * * * [progress]: [ 302 / 302 ] simplifiying candidate # 9.401 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 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x))))) (* (/ 1/2 (hypot 1 x)) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ 1/2 (hypot 1 x)) 1) (* (cbrt (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ (sqrt 1/2) (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (sqrt (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ 1 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3))) (* (/ 1/2 (hypot 1 x)) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* 1/2 (- 1/2 (/ 1/2 (hypot 1 x)))) (real->posit16 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x))))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 1/4 (pow x 4)) 1/4) (* 1/4 (pow x 2))) (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (* 1/4 (/ 1 (pow x 4)))) (- (+ (* 1/8 (pow x 2)) (* 11/64 (pow x 6))) (* 5/32 (pow x 4))) (- (* 1/4 (/ 1 x)) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/4 (/ 1 (pow x 2))))) (- (* 1/8 (/ 1 (pow x 3))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 x)))) 9.418 * * [simplify]: iteration 0: 471 enodes 9.879 * * [simplify]: iteration 1: 1503 enodes 11.652 * * [simplify]: iteration 2: 4172 enodes 12.418 * * [simplify]: iteration complete: 5004 enodes 12.419 * * [simplify]: Extracting #0: cost 180 inf + 0 12.422 * * [simplify]: Extracting #1: cost 1068 inf + 4 12.428 * * [simplify]: Extracting #2: cost 1451 inf + 2207 12.451 * * [simplify]: Extracting #3: cost 1133 inf + 49827 12.506 * * [simplify]: Extracting #4: cost 321 inf + 244166 12.624 * * [simplify]: Extracting #5: cost 15 inf + 338628 12.707 * * [simplify]: Extracting #6: cost 0 inf + 341472 12.793 * * [simplify]: Extracting #7: cost 0 inf + 340712 12.885 * * [simplify]: Extracting #8: cost 0 inf + 340672 12.965 * [simplify]: Simplified to: (+ 1 (+ (/ -1/2 (hypot 1 x)) -1/2)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (+ (/ -1/2 (hypot 1 x)) -1/2)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (+ (/ -1/2 (hypot 1 x)) -1/2)) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (+ (/ -1/2 (hypot 1 x)) -1/2)) (fma (+ 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1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (/ 1/4 (hypot 1 x)) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (/ 1/4 (hypot 1 x)) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ 1/2 (hypot 1 x)) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (* (/ 1/2 (hypot 1 x)) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (/ 1/2 (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (/ (* (cbrt 1/2) (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (hypot 1 x))) (/ (* (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ (cbrt 1/2) (hypot 1 x))) (/ (* (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (cbrt (hypot 1 x))) (/ (* (sqrt 1/2) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (hypot 1 x))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ (sqrt 1/2) (hypot 1 x))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (/ (cbrt (hypot 1 x)) 1/2)) (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (- 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))) (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (- 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (* (/ 1/2 (hypot 1 x)) (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* 1/2 (- 1/2 (/ 1/2 (hypot 1 x)))) (real->posit16 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x))))) (fma -3/16 (* (* x x) (* x x)) (fma 5/32 (* (* x x) (* (* x x) (* x x))) (* (* x x) 1/4))) (fma (/ 1/2 (* x x)) (/ 1/2 x) (- 1/2 (/ 1/2 x))) (- (+ (/ 1/2 x) 1/2) (/ 1/4 (* x (* x x)))) (fma -3/16 (* (* x x) (* x x)) (fma 5/32 (* (* x x) (* (* x x) (* x x))) (* (* x x) 1/4))) (fma (/ 1/2 (* x x)) (/ 1/2 x) (- 1/2 (/ 1/2 x))) (- (+ (/ 1/2 x) 1/2) (/ 1/4 (* x (* x x)))) (fma (* x x) (* (* x x) 1/4) (- 1/4 (* (* x x) 1/4))) (+ (+ (/ 1/4 (* (* x x) (* (* x x) (* x x)))) (/ -1/4 (* (* x x) (* x x)))) (/ 1/4 (* x x))) (+ (+ (/ 1/4 (* (* x x) (* (* x x) (* x x)))) (/ -1/4 (* (* x x) (* x x)))) (/ 1/4 (* x x))) (fma -5/32 (* (* x x) (* x x)) (fma (* (* x x) (* (* x x) (* x x))) 11/64 (* 1/8 (* x x)))) (- (/ 1/4 x) (+ (/ 1/8 (* x (* x x))) (/ 1/4 (* x x)))) (- (- (/ 1/8 (* x (* x x))) (/ 1/4 x)) (/ 1/4 (* x x))) 13.052 * * * [progress]: adding candidates to table 15.336 * * [progress]: iteration 4 / 4 15.336 * * * [progress]: picking best candidate 15.355 * * * * [pick]: Picked # 15.355 * * * [progress]: localizing error 15.385 * * * [progress]: generating rewritten candidates 15.385 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 15.449 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 15.455 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 15.455 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 15.465 * * * [progress]: generating series expansions 15.465 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 15.466 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 15.466 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 15.466 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 15.466 * [taylor]: Taking taylor expansion of 1/2 in x 15.466 * [backup-simplify]: Simplify 1/2 into 1/2 15.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.466 * [taylor]: Taking taylor expansion of 1/2 in x 15.466 * [backup-simplify]: Simplify 1/2 into 1/2 15.466 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.466 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.466 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.466 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.466 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.466 * [taylor]: Taking taylor expansion of 1 in x 15.466 * [backup-simplify]: Simplify 1 into 1 15.466 * [taylor]: Taking taylor expansion of 1 in x 15.466 * [backup-simplify]: Simplify 1 into 1 15.466 * [taylor]: Taking taylor expansion of (* x x) in x 15.466 * [taylor]: Taking taylor expansion of x in x 15.466 * [backup-simplify]: Simplify 0 into 0 15.466 * [backup-simplify]: Simplify 1 into 1 15.466 * [taylor]: Taking taylor expansion of x in x 15.466 * [backup-simplify]: Simplify 0 into 0 15.466 * [backup-simplify]: Simplify 1 into 1 15.467 * [backup-simplify]: Simplify (* 1 1) into 1 15.468 * [backup-simplify]: Simplify (* 0 0) into 0 15.468 * [backup-simplify]: Simplify (+ 1 0) into 1 15.469 * [backup-simplify]: Simplify (sqrt 1) into 1 15.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.470 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.470 * [backup-simplify]: Simplify (+ 0 0) into 0 15.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.472 * [backup-simplify]: Simplify (/ 1 1) into 1 15.472 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 15.472 * [taylor]: Taking taylor expansion of 1/2 in x 15.472 * [backup-simplify]: Simplify 1/2 into 1/2 15.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.472 * [taylor]: Taking taylor expansion of 1/2 in x 15.472 * [backup-simplify]: Simplify 1/2 into 1/2 15.472 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.472 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.472 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.472 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.472 * [taylor]: Taking taylor expansion of 1 in x 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [taylor]: Taking taylor expansion of 1 in x 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [taylor]: Taking taylor expansion of (* x x) in x 15.472 * [taylor]: Taking taylor expansion of x in x 15.472 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [taylor]: Taking taylor expansion of x in x 15.472 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify 1 into 1 15.473 * [backup-simplify]: Simplify (* 1 1) into 1 15.473 * [backup-simplify]: Simplify (* 0 0) into 0 15.474 * [backup-simplify]: Simplify (+ 1 0) into 1 15.474 * [backup-simplify]: Simplify (sqrt 1) into 1 15.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.475 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.476 * [backup-simplify]: Simplify (+ 0 0) into 0 15.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.477 * [backup-simplify]: Simplify (/ 1 1) into 1 15.477 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.478 * [backup-simplify]: Simplify (- 1/2) into -1/2 15.478 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 15.478 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.480 * [backup-simplify]: Simplify (- 0) into 0 15.480 * [backup-simplify]: Simplify (+ 0 0) into 0 15.480 * [backup-simplify]: Simplify 0 into 0 15.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.483 * [backup-simplify]: Simplify (+ 0 1) into 1 15.484 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.486 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.486 * [backup-simplify]: Simplify (- -1/4) into 1/4 15.487 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 15.487 * [backup-simplify]: Simplify 1/4 into 1/4 15.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.493 * [backup-simplify]: Simplify (+ 0 0) into 0 15.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 15.498 * [backup-simplify]: Simplify (- 0) into 0 15.499 * [backup-simplify]: Simplify (+ 0 0) into 0 15.499 * [backup-simplify]: Simplify 0 into 0 15.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.502 * [backup-simplify]: Simplify (+ 0 0) into 0 15.503 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.507 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 15.507 * [backup-simplify]: Simplify (- 3/16) into -3/16 15.508 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 15.508 * [backup-simplify]: Simplify -3/16 into -3/16 15.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.511 * [backup-simplify]: Simplify (+ 0 0) into 0 15.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 15.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 15.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 15.518 * [backup-simplify]: Simplify (- 0) into 0 15.518 * [backup-simplify]: Simplify (+ 0 0) into 0 15.518 * [backup-simplify]: Simplify 0 into 0 15.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 15.522 * [backup-simplify]: Simplify (+ 0 0) into 0 15.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 15.526 * [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 15.529 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 15.529 * [backup-simplify]: Simplify (- -5/32) into 5/32 15.530 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 15.530 * [backup-simplify]: Simplify 5/32 into 5/32 15.530 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 15.530 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 15.531 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 15.531 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 15.531 * [taylor]: Taking taylor expansion of 1/2 in x 15.531 * [backup-simplify]: Simplify 1/2 into 1/2 15.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.531 * [taylor]: Taking taylor expansion of 1/2 in x 15.531 * [backup-simplify]: Simplify 1/2 into 1/2 15.531 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.531 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.531 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.531 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.531 * [taylor]: Taking taylor expansion of 1 in x 15.531 * [backup-simplify]: Simplify 1 into 1 15.531 * [taylor]: Taking taylor expansion of 1 in x 15.531 * [backup-simplify]: Simplify 1 into 1 15.531 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.531 * [taylor]: Taking taylor expansion of x in x 15.531 * [backup-simplify]: Simplify 0 into 0 15.531 * [backup-simplify]: Simplify 1 into 1 15.532 * [backup-simplify]: Simplify (/ 1 1) into 1 15.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.532 * [taylor]: Taking taylor expansion of x in x 15.532 * [backup-simplify]: Simplify 0 into 0 15.532 * [backup-simplify]: Simplify 1 into 1 15.532 * [backup-simplify]: Simplify (/ 1 1) into 1 15.533 * [backup-simplify]: Simplify (* 1 1) into 1 15.533 * [backup-simplify]: Simplify (+ 0 1) into 1 15.534 * [backup-simplify]: Simplify (sqrt 1) into 1 15.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.536 * [backup-simplify]: Simplify (+ 0 0) into 0 15.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.538 * [backup-simplify]: Simplify (/ 1 1) into 1 15.538 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 15.538 * [taylor]: Taking taylor expansion of 1/2 in x 15.538 * [backup-simplify]: Simplify 1/2 into 1/2 15.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.538 * [taylor]: Taking taylor expansion of 1/2 in x 15.538 * [backup-simplify]: Simplify 1/2 into 1/2 15.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.538 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.538 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.538 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.538 * [taylor]: Taking taylor expansion of 1 in x 15.538 * [backup-simplify]: Simplify 1 into 1 15.538 * [taylor]: Taking taylor expansion of 1 in x 15.538 * [backup-simplify]: Simplify 1 into 1 15.538 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.538 * [taylor]: Taking taylor expansion of x in x 15.538 * [backup-simplify]: Simplify 0 into 0 15.538 * [backup-simplify]: Simplify 1 into 1 15.539 * [backup-simplify]: Simplify (/ 1 1) into 1 15.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.539 * [taylor]: Taking taylor expansion of x in x 15.539 * [backup-simplify]: Simplify 0 into 0 15.539 * [backup-simplify]: Simplify 1 into 1 15.539 * [backup-simplify]: Simplify (/ 1 1) into 1 15.539 * [backup-simplify]: Simplify (* 1 1) into 1 15.540 * [backup-simplify]: Simplify (+ 0 1) into 1 15.540 * [backup-simplify]: Simplify (sqrt 1) into 1 15.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.543 * [backup-simplify]: Simplify (+ 0 0) into 0 15.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.544 * [backup-simplify]: Simplify (/ 1 1) into 1 15.545 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.545 * [backup-simplify]: Simplify 1/2 into 1/2 15.545 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.545 * [backup-simplify]: Simplify (- 1/2) into -1/2 15.546 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 15.546 * [backup-simplify]: Simplify -1/2 into -1/2 15.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.548 * [backup-simplify]: Simplify (- 0) into 0 15.548 * [backup-simplify]: Simplify (+ 0 0) into 0 15.548 * [backup-simplify]: Simplify 0 into 0 15.549 * [backup-simplify]: Simplify (* 1 1) into 1 15.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.552 * [backup-simplify]: Simplify (+ 1 0) into 1 15.553 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.555 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.556 * [backup-simplify]: Simplify (- -1/4) into 1/4 15.556 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 15.556 * [backup-simplify]: Simplify 1/4 into 1/4 15.557 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 15.557 * [backup-simplify]: Simplify (- 1 (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 15.557 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 15.557 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 15.557 * [taylor]: Taking taylor expansion of 1/2 in x 15.557 * [backup-simplify]: Simplify 1/2 into 1/2 15.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.557 * [taylor]: Taking taylor expansion of 1/2 in x 15.557 * [backup-simplify]: Simplify 1/2 into 1/2 15.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.557 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.557 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.557 * [taylor]: Taking taylor expansion of 1 in x 15.557 * [backup-simplify]: Simplify 1 into 1 15.557 * [taylor]: Taking taylor expansion of 1 in x 15.558 * [backup-simplify]: Simplify 1 into 1 15.558 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.558 * [taylor]: Taking taylor expansion of -1 in x 15.558 * [backup-simplify]: Simplify -1 into -1 15.558 * [taylor]: Taking taylor expansion of x in x 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.558 * [backup-simplify]: Simplify (/ -1 1) into -1 15.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.558 * [taylor]: Taking taylor expansion of -1 in x 15.558 * [backup-simplify]: Simplify -1 into -1 15.558 * [taylor]: Taking taylor expansion of x in x 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.559 * [backup-simplify]: Simplify (/ -1 1) into -1 15.559 * [backup-simplify]: Simplify (* -1 -1) into 1 15.560 * [backup-simplify]: Simplify (+ 0 1) into 1 15.560 * [backup-simplify]: Simplify (sqrt 1) into 1 15.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.563 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.563 * [backup-simplify]: Simplify (+ 0 0) into 0 15.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.564 * [backup-simplify]: Simplify (/ 1 1) into 1 15.564 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 15.564 * [taylor]: Taking taylor expansion of 1/2 in x 15.564 * [backup-simplify]: Simplify 1/2 into 1/2 15.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.564 * [taylor]: Taking taylor expansion of 1/2 in x 15.564 * [backup-simplify]: Simplify 1/2 into 1/2 15.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.564 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.564 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.565 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.565 * [taylor]: Taking taylor expansion of 1 in x 15.565 * [backup-simplify]: Simplify 1 into 1 15.565 * [taylor]: Taking taylor expansion of 1 in x 15.565 * [backup-simplify]: Simplify 1 into 1 15.565 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.565 * [taylor]: Taking taylor expansion of -1 in x 15.565 * [backup-simplify]: Simplify -1 into -1 15.565 * [taylor]: Taking taylor expansion of x in x 15.565 * [backup-simplify]: Simplify 0 into 0 15.565 * [backup-simplify]: Simplify 1 into 1 15.565 * [backup-simplify]: Simplify (/ -1 1) into -1 15.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.565 * [taylor]: Taking taylor expansion of -1 in x 15.565 * [backup-simplify]: Simplify -1 into -1 15.565 * [taylor]: Taking taylor expansion of x in x 15.565 * [backup-simplify]: Simplify 0 into 0 15.565 * [backup-simplify]: Simplify 1 into 1 15.566 * [backup-simplify]: Simplify (/ -1 1) into -1 15.566 * [backup-simplify]: Simplify (* -1 -1) into 1 15.567 * [backup-simplify]: Simplify (+ 0 1) into 1 15.567 * [backup-simplify]: Simplify (sqrt 1) into 1 15.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.569 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.570 * [backup-simplify]: Simplify (+ 0 0) into 0 15.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.571 * [backup-simplify]: Simplify (/ 1 1) into 1 15.571 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.571 * [backup-simplify]: Simplify 1/2 into 1/2 15.572 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.572 * [backup-simplify]: Simplify (- 1/2) into -1/2 15.573 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 15.573 * [backup-simplify]: Simplify -1/2 into -1/2 15.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.575 * [backup-simplify]: Simplify (- 0) into 0 15.575 * [backup-simplify]: Simplify (+ 0 0) into 0 15.575 * [backup-simplify]: Simplify 0 into 0 15.575 * [backup-simplify]: Simplify (* 1 1) into 1 15.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.579 * [backup-simplify]: Simplify (+ 1 0) into 1 15.580 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.583 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.583 * [backup-simplify]: Simplify (- -1/4) into 1/4 15.583 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 15.583 * [backup-simplify]: Simplify 1/4 into 1/4 15.584 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 15.584 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 15.584 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 x))) into (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) 15.584 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in (x) around 0 15.584 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 15.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 15.584 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.584 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.584 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.584 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.584 * [taylor]: Taking taylor expansion of 1 in x 15.584 * [backup-simplify]: Simplify 1 into 1 15.584 * [taylor]: Taking taylor expansion of 1 in x 15.584 * [backup-simplify]: Simplify 1 into 1 15.584 * [taylor]: Taking taylor expansion of (* x x) in x 15.584 * [taylor]: Taking taylor expansion of x in x 15.584 * [backup-simplify]: Simplify 0 into 0 15.584 * [backup-simplify]: Simplify 1 into 1 15.584 * [taylor]: Taking taylor expansion of x in x 15.584 * [backup-simplify]: Simplify 0 into 0 15.585 * [backup-simplify]: Simplify 1 into 1 15.585 * [backup-simplify]: Simplify (* 1 1) into 1 15.585 * [backup-simplify]: Simplify (* 0 0) into 0 15.586 * [backup-simplify]: Simplify (+ 1 0) into 1 15.586 * [backup-simplify]: Simplify (sqrt 1) into 1 15.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.587 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.588 * [backup-simplify]: Simplify (+ 0 0) into 0 15.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.589 * [backup-simplify]: Simplify (/ 1 1) into 1 15.589 * [backup-simplify]: Simplify (sqrt 1) into 1 15.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.591 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.591 * [taylor]: Taking taylor expansion of 1/2 in x 15.591 * [backup-simplify]: Simplify 1/2 into 1/2 15.591 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 15.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 15.592 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.592 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.592 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.592 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.592 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.592 * [taylor]: Taking taylor expansion of 1 in x 15.592 * [backup-simplify]: Simplify 1 into 1 15.592 * [taylor]: Taking taylor expansion of 1 in x 15.592 * [backup-simplify]: Simplify 1 into 1 15.592 * [taylor]: Taking taylor expansion of (* x x) in x 15.592 * [taylor]: Taking taylor expansion of x in x 15.592 * [backup-simplify]: Simplify 0 into 0 15.592 * [backup-simplify]: Simplify 1 into 1 15.592 * [taylor]: Taking taylor expansion of x in x 15.592 * [backup-simplify]: Simplify 0 into 0 15.592 * [backup-simplify]: Simplify 1 into 1 15.593 * [backup-simplify]: Simplify (* 1 1) into 1 15.593 * [backup-simplify]: Simplify (* 0 0) into 0 15.594 * [backup-simplify]: Simplify (+ 1 0) into 1 15.594 * [backup-simplify]: Simplify (sqrt 1) into 1 15.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.596 * [backup-simplify]: Simplify (+ 0 0) into 0 15.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.597 * [backup-simplify]: Simplify (/ 1 1) into 1 15.597 * [backup-simplify]: Simplify (sqrt 1) into 1 15.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.599 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.599 * [taylor]: Taking taylor expansion of 1/2 in x 15.599 * [backup-simplify]: Simplify 1/2 into 1/2 15.599 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.601 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 15.601 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 15.602 * [backup-simplify]: Simplify 0 into 0 15.603 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 15.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.606 * [backup-simplify]: Simplify (+ 0 1) into 1 15.607 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.610 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 15.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2))) 15.616 * [backup-simplify]: Simplify (- (* 1/4 (sqrt 1/2))) into (- (* 1/4 (sqrt 1/2))) 15.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.620 * [backup-simplify]: Simplify (+ 0 0) into 0 15.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 15.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0 15.627 * [backup-simplify]: Simplify 0 into 0 15.629 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.632 * [backup-simplify]: Simplify (+ 0 0) into 0 15.634 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.637 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 15.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2)) 15.647 * [backup-simplify]: Simplify (* 5/32 (sqrt 1/2)) into (* 5/32 (sqrt 1/2)) 15.650 * [backup-simplify]: Simplify (+ (* (* 5/32 (sqrt 1/2)) (pow x 4)) (+ (* (- (* 1/4 (sqrt 1/2))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))) 15.650 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) into (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) 15.650 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in (x) around 0 15.650 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 15.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 15.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.650 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.650 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.650 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.650 * [taylor]: Taking taylor expansion of 1 in x 15.650 * [backup-simplify]: Simplify 1 into 1 15.650 * [taylor]: Taking taylor expansion of 1 in x 15.650 * [backup-simplify]: Simplify 1 into 1 15.651 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.651 * [taylor]: Taking taylor expansion of x in x 15.651 * [backup-simplify]: Simplify 0 into 0 15.651 * [backup-simplify]: Simplify 1 into 1 15.651 * [backup-simplify]: Simplify (/ 1 1) into 1 15.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.651 * [taylor]: Taking taylor expansion of x in x 15.651 * [backup-simplify]: Simplify 0 into 0 15.651 * [backup-simplify]: Simplify 1 into 1 15.651 * [backup-simplify]: Simplify (/ 1 1) into 1 15.652 * [backup-simplify]: Simplify (* 1 1) into 1 15.652 * [backup-simplify]: Simplify (+ 0 1) into 1 15.652 * [backup-simplify]: Simplify (sqrt 1) into 1 15.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.655 * [backup-simplify]: Simplify (+ 0 0) into 0 15.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.656 * [backup-simplify]: Simplify (/ 1 1) into 1 15.656 * [backup-simplify]: Simplify (sqrt 0) into 0 15.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.658 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.658 * [taylor]: Taking taylor expansion of 1/2 in x 15.658 * [backup-simplify]: Simplify 1/2 into 1/2 15.658 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.659 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 15.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 15.659 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.659 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.659 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.659 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.659 * [taylor]: Taking taylor expansion of 1 in x 15.659 * [backup-simplify]: Simplify 1 into 1 15.659 * [taylor]: Taking taylor expansion of 1 in x 15.659 * [backup-simplify]: Simplify 1 into 1 15.659 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.659 * [taylor]: Taking taylor expansion of x in x 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify 1 into 1 15.659 * [backup-simplify]: Simplify (/ 1 1) into 1 15.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.659 * [taylor]: Taking taylor expansion of x in x 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify 1 into 1 15.660 * [backup-simplify]: Simplify (/ 1 1) into 1 15.660 * [backup-simplify]: Simplify (* 1 1) into 1 15.661 * [backup-simplify]: Simplify (+ 0 1) into 1 15.661 * [backup-simplify]: Simplify (sqrt 1) into 1 15.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.663 * [backup-simplify]: Simplify (+ 0 0) into 0 15.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.664 * [backup-simplify]: Simplify (/ 1 1) into 1 15.664 * [backup-simplify]: Simplify (sqrt 0) into 0 15.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.666 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.666 * [taylor]: Taking taylor expansion of 1/2 in x 15.666 * [backup-simplify]: Simplify 1/2 into 1/2 15.666 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.667 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 15.667 * [backup-simplify]: Simplify 0 into 0 15.669 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.670 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.672 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 15.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.675 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 15.680 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.681 * [backup-simplify]: Simplify (* 1 1) into 1 15.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.684 * [backup-simplify]: Simplify (+ 1 0) into 1 15.685 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.690 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 15.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 15.696 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.701 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 x)))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) 15.701 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) into (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) 15.702 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in (x) around 0 15.702 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 15.702 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 15.702 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.702 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.702 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.702 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.702 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.702 * [taylor]: Taking taylor expansion of 1 in x 15.702 * [backup-simplify]: Simplify 1 into 1 15.702 * [taylor]: Taking taylor expansion of 1 in x 15.702 * [backup-simplify]: Simplify 1 into 1 15.702 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.702 * [taylor]: Taking taylor expansion of -1 in x 15.702 * [backup-simplify]: Simplify -1 into -1 15.702 * [taylor]: Taking taylor expansion of x in x 15.702 * [backup-simplify]: Simplify 0 into 0 15.702 * [backup-simplify]: Simplify 1 into 1 15.703 * [backup-simplify]: Simplify (/ -1 1) into -1 15.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.703 * [taylor]: Taking taylor expansion of -1 in x 15.703 * [backup-simplify]: Simplify -1 into -1 15.703 * [taylor]: Taking taylor expansion of x in x 15.703 * [backup-simplify]: Simplify 0 into 0 15.703 * [backup-simplify]: Simplify 1 into 1 15.703 * [backup-simplify]: Simplify (/ -1 1) into -1 15.704 * [backup-simplify]: Simplify (* -1 -1) into 1 15.704 * [backup-simplify]: Simplify (+ 0 1) into 1 15.705 * [backup-simplify]: Simplify (sqrt 1) into 1 15.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.707 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.707 * [backup-simplify]: Simplify (+ 0 0) into 0 15.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.708 * [backup-simplify]: Simplify (/ 1 1) into 1 15.709 * [backup-simplify]: Simplify (sqrt 0) into 0 15.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.710 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.710 * [taylor]: Taking taylor expansion of 1/2 in x 15.710 * [backup-simplify]: Simplify 1/2 into 1/2 15.711 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.711 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 15.711 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 15.711 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.711 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.711 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.711 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.711 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.711 * [taylor]: Taking taylor expansion of 1 in x 15.712 * [backup-simplify]: Simplify 1 into 1 15.712 * [taylor]: Taking taylor expansion of 1 in x 15.712 * [backup-simplify]: Simplify 1 into 1 15.712 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.712 * [taylor]: Taking taylor expansion of -1 in x 15.712 * [backup-simplify]: Simplify -1 into -1 15.712 * [taylor]: Taking taylor expansion of x in x 15.712 * [backup-simplify]: Simplify 0 into 0 15.712 * [backup-simplify]: Simplify 1 into 1 15.712 * [backup-simplify]: Simplify (/ -1 1) into -1 15.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.712 * [taylor]: Taking taylor expansion of -1 in x 15.712 * [backup-simplify]: Simplify -1 into -1 15.712 * [taylor]: Taking taylor expansion of x in x 15.712 * [backup-simplify]: Simplify 0 into 0 15.712 * [backup-simplify]: Simplify 1 into 1 15.713 * [backup-simplify]: Simplify (/ -1 1) into -1 15.713 * [backup-simplify]: Simplify (* -1 -1) into 1 15.713 * [backup-simplify]: Simplify (+ 0 1) into 1 15.714 * [backup-simplify]: Simplify (sqrt 1) into 1 15.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.716 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.716 * [backup-simplify]: Simplify (+ 0 0) into 0 15.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.717 * [backup-simplify]: Simplify (/ 1 1) into 1 15.718 * [backup-simplify]: Simplify (sqrt 0) into 0 15.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.719 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.719 * [taylor]: Taking taylor expansion of 1/2 in x 15.719 * [backup-simplify]: Simplify 1/2 into 1/2 15.719 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.721 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 15.721 * [backup-simplify]: Simplify 0 into 0 15.722 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.724 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 15.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.728 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 15.733 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.735 * [backup-simplify]: Simplify (* 1 1) into 1 15.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.738 * [backup-simplify]: Simplify (+ 1 0) into 1 15.739 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.744 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 15.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 15.751 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.755 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 (- x))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) 15.756 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 15.756 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 15.756 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0 15.756 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x 15.756 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 15.756 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 15.756 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x 15.756 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 15.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 15.756 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.756 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.757 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.757 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.757 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.757 * [taylor]: Taking taylor expansion of 1 in x 15.757 * [backup-simplify]: Simplify 1 into 1 15.757 * [taylor]: Taking taylor expansion of 1 in x 15.757 * [backup-simplify]: Simplify 1 into 1 15.757 * [taylor]: Taking taylor expansion of (* x x) in x 15.757 * [taylor]: Taking taylor expansion of x in x 15.757 * [backup-simplify]: Simplify 0 into 0 15.757 * [backup-simplify]: Simplify 1 into 1 15.757 * [taylor]: Taking taylor expansion of x in x 15.757 * [backup-simplify]: Simplify 0 into 0 15.757 * [backup-simplify]: Simplify 1 into 1 15.757 * [backup-simplify]: Simplify (* 1 1) into 1 15.758 * [backup-simplify]: Simplify (* 0 0) into 0 15.758 * [backup-simplify]: Simplify (+ 1 0) into 1 15.759 * [backup-simplify]: Simplify (sqrt 1) into 1 15.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.760 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.760 * [backup-simplify]: Simplify (+ 0 0) into 0 15.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.761 * [backup-simplify]: Simplify (/ 1 1) into 1 15.762 * [backup-simplify]: Simplify (sqrt 1) into 1 15.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.763 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.763 * [taylor]: Taking taylor expansion of 1/2 in x 15.763 * [backup-simplify]: Simplify 1/2 into 1/2 15.763 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.764 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 15.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 15.764 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.764 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.764 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.764 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.764 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.764 * [taylor]: Taking taylor expansion of 1 in x 15.764 * [backup-simplify]: Simplify 1 into 1 15.764 * [taylor]: Taking taylor expansion of 1 in x 15.764 * [backup-simplify]: Simplify 1 into 1 15.764 * [taylor]: Taking taylor expansion of (* x x) in x 15.764 * [taylor]: Taking taylor expansion of x in x 15.764 * [backup-simplify]: Simplify 0 into 0 15.764 * [backup-simplify]: Simplify 1 into 1 15.764 * [taylor]: Taking taylor expansion of x in x 15.765 * [backup-simplify]: Simplify 0 into 0 15.765 * [backup-simplify]: Simplify 1 into 1 15.765 * [backup-simplify]: Simplify (* 1 1) into 1 15.765 * [backup-simplify]: Simplify (* 0 0) into 0 15.766 * [backup-simplify]: Simplify (+ 1 0) into 1 15.766 * [backup-simplify]: Simplify (sqrt 1) into 1 15.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.767 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.767 * [backup-simplify]: Simplify (+ 0 0) into 0 15.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.768 * [backup-simplify]: Simplify (/ 1 1) into 1 15.769 * [backup-simplify]: Simplify (sqrt 1) into 1 15.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.770 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.770 * [taylor]: Taking taylor expansion of 1/2 in x 15.770 * [backup-simplify]: Simplify 1/2 into 1/2 15.770 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.771 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 15.771 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.771 * [taylor]: Taking taylor expansion of 1/2 in x 15.771 * [backup-simplify]: Simplify 1/2 into 1/2 15.772 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.772 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.772 * [taylor]: Taking taylor expansion of 1/2 in x 15.772 * [backup-simplify]: Simplify 1/2 into 1/2 15.773 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.777 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 15.778 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 15.779 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 15.780 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 15.783 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2)) 15.785 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2)) 15.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 15.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 15.788 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 15.788 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 15.789 * [backup-simplify]: Simplify (+ 0 0) into 0 15.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0 15.790 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x 15.790 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 15.790 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 15.790 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x 15.790 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 15.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 15.790 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.790 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.791 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.791 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.791 * [taylor]: Taking taylor expansion of 1 in x 15.791 * [backup-simplify]: Simplify 1 into 1 15.791 * [taylor]: Taking taylor expansion of 1 in x 15.791 * [backup-simplify]: Simplify 1 into 1 15.791 * [taylor]: Taking taylor expansion of (* x x) in x 15.791 * [taylor]: Taking taylor expansion of x in x 15.791 * [backup-simplify]: Simplify 0 into 0 15.791 * [backup-simplify]: Simplify 1 into 1 15.791 * [taylor]: Taking taylor expansion of x in x 15.791 * [backup-simplify]: Simplify 0 into 0 15.791 * [backup-simplify]: Simplify 1 into 1 15.791 * [backup-simplify]: Simplify (* 1 1) into 1 15.792 * [backup-simplify]: Simplify (* 0 0) into 0 15.792 * [backup-simplify]: Simplify (+ 1 0) into 1 15.792 * [backup-simplify]: Simplify (sqrt 1) into 1 15.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.794 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.794 * [backup-simplify]: Simplify (+ 0 0) into 0 15.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.795 * [backup-simplify]: Simplify (/ 1 1) into 1 15.796 * [backup-simplify]: Simplify (sqrt 1) into 1 15.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.797 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.797 * [taylor]: Taking taylor expansion of 1/2 in x 15.797 * [backup-simplify]: Simplify 1/2 into 1/2 15.798 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 15.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 15.799 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.799 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.799 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.799 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.799 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.799 * [taylor]: Taking taylor expansion of 1 in x 15.799 * [backup-simplify]: Simplify 1 into 1 15.799 * [taylor]: Taking taylor expansion of 1 in x 15.799 * [backup-simplify]: Simplify 1 into 1 15.799 * [taylor]: Taking taylor expansion of (* x x) in x 15.799 * [taylor]: Taking taylor expansion of x in x 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [backup-simplify]: Simplify 1 into 1 15.799 * [taylor]: Taking taylor expansion of x in x 15.799 * [backup-simplify]: Simplify 0 into 0 15.799 * [backup-simplify]: Simplify 1 into 1 15.800 * [backup-simplify]: Simplify (* 1 1) into 1 15.800 * [backup-simplify]: Simplify (* 0 0) into 0 15.801 * [backup-simplify]: Simplify (+ 1 0) into 1 15.801 * [backup-simplify]: Simplify (sqrt 1) into 1 15.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.802 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.803 * [backup-simplify]: Simplify (+ 0 0) into 0 15.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.804 * [backup-simplify]: Simplify (/ 1 1) into 1 15.804 * [backup-simplify]: Simplify (sqrt 1) into 1 15.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.806 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.806 * [taylor]: Taking taylor expansion of 1/2 in x 15.806 * [backup-simplify]: Simplify 1/2 into 1/2 15.806 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.807 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 15.807 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.807 * [taylor]: Taking taylor expansion of 1/2 in x 15.807 * [backup-simplify]: Simplify 1/2 into 1/2 15.808 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.808 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.808 * [taylor]: Taking taylor expansion of 1/2 in x 15.808 * [backup-simplify]: Simplify 1/2 into 1/2 15.809 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.811 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 15.811 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 15.813 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 15.814 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 15.815 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2)) 15.817 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2)) 15.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 15.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 15.818 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 15.819 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 15.819 * [backup-simplify]: Simplify (+ 0 0) into 0 15.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0 15.821 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2)) 15.821 * [backup-simplify]: Simplify 0 into 0 15.821 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 15.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.823 * [backup-simplify]: Simplify (+ 0 1) into 1 15.823 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.825 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 15.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2))) 15.828 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 15.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.829 * [backup-simplify]: Simplify (+ 0 1) into 1 15.830 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.831 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 15.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2))) 15.839 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (- (* 1/4 (sqrt 1/2))) (sqrt 1/2)))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 15.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 15.841 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 15.842 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 15.846 * [backup-simplify]: Simplify (+ (- (* 1/2 (pow (sqrt 1/2) 2))) 0) into (- (* 1/2 (pow (sqrt 1/2) 2))) 15.855 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 15.857 * [backup-simplify]: Simplify (* -1/4 (/ (sqrt 1/2) (sqrt 2))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 15.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.862 * [backup-simplify]: Simplify (+ 0 0) into 0 15.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 15.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0 15.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.873 * [backup-simplify]: Simplify (+ 0 0) into 0 15.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 15.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0 15.880 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/4 (sqrt 1/2)))) (+ (* (- (* 1/4 (sqrt 1/2))) 0) (* 0 (sqrt 1/2))))) into 0 15.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.883 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 15.883 * [backup-simplify]: Simplify (+ 0 0) into 0 15.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/4 (/ (sqrt 1/2) (sqrt 2))))))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into 0 15.884 * [backup-simplify]: Simplify 0 into 0 15.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.887 * [backup-simplify]: Simplify (+ 0 0) into 0 15.888 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.889 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 15.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2)) 15.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.898 * [backup-simplify]: Simplify (+ 0 0) into 0 15.899 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.901 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 15.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2)) 15.917 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* 5/32 (sqrt 1/2))) (+ (* 0 0) (+ (* (- (* 1/4 (sqrt 1/2))) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (* 5/32 (sqrt 1/2)) (sqrt 1/2)))))) into (* 3/8 (pow (sqrt 1/2) 2)) 15.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 15.922 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 15.924 * [backup-simplify]: Simplify (+ (* 3/8 (pow (sqrt 1/2) 2)) 0) into (* 3/8 (pow (sqrt 1/2) 2)) 15.937 * [backup-simplify]: Simplify (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (pow (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) 15.947 * [backup-simplify]: Simplify (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) 15.957 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) (pow x 4)) (+ (* (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (pow x 2)) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))) 15.957 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 15.957 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0 15.957 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x 15.957 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 15.957 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 15.957 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x 15.957 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 15.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 15.957 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.957 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.957 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.957 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.957 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.957 * [taylor]: Taking taylor expansion of 1 in x 15.957 * [backup-simplify]: Simplify 1 into 1 15.957 * [taylor]: Taking taylor expansion of 1 in x 15.957 * [backup-simplify]: Simplify 1 into 1 15.957 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.958 * [taylor]: Taking taylor expansion of x in x 15.958 * [backup-simplify]: Simplify 0 into 0 15.958 * [backup-simplify]: Simplify 1 into 1 15.958 * [backup-simplify]: Simplify (/ 1 1) into 1 15.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.958 * [taylor]: Taking taylor expansion of x in x 15.958 * [backup-simplify]: Simplify 0 into 0 15.958 * [backup-simplify]: Simplify 1 into 1 15.958 * [backup-simplify]: Simplify (/ 1 1) into 1 15.958 * [backup-simplify]: Simplify (* 1 1) into 1 15.959 * [backup-simplify]: Simplify (+ 0 1) into 1 15.959 * [backup-simplify]: Simplify (sqrt 1) into 1 15.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.960 * [backup-simplify]: Simplify (+ 0 0) into 0 15.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.961 * [backup-simplify]: Simplify (/ 1 1) into 1 15.961 * [backup-simplify]: Simplify (sqrt 0) into 0 15.962 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.962 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.962 * [taylor]: Taking taylor expansion of 1/2 in x 15.962 * [backup-simplify]: Simplify 1/2 into 1/2 15.963 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.963 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 15.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 15.963 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.963 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.963 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.963 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.963 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.963 * [taylor]: Taking taylor expansion of 1 in x 15.963 * [backup-simplify]: Simplify 1 into 1 15.963 * [taylor]: Taking taylor expansion of 1 in x 15.963 * [backup-simplify]: Simplify 1 into 1 15.963 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.963 * [taylor]: Taking taylor expansion of x in x 15.963 * [backup-simplify]: Simplify 0 into 0 15.963 * [backup-simplify]: Simplify 1 into 1 15.964 * [backup-simplify]: Simplify (/ 1 1) into 1 15.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.964 * [taylor]: Taking taylor expansion of x in x 15.964 * [backup-simplify]: Simplify 0 into 0 15.964 * [backup-simplify]: Simplify 1 into 1 15.964 * [backup-simplify]: Simplify (/ 1 1) into 1 15.964 * [backup-simplify]: Simplify (* 1 1) into 1 15.965 * [backup-simplify]: Simplify (+ 0 1) into 1 15.965 * [backup-simplify]: Simplify (sqrt 1) into 1 15.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.966 * [backup-simplify]: Simplify (+ 0 0) into 0 15.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.967 * [backup-simplify]: Simplify (/ 1 1) into 1 15.967 * [backup-simplify]: Simplify (sqrt 0) into 0 15.968 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.968 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.968 * [taylor]: Taking taylor expansion of 1/2 in x 15.968 * [backup-simplify]: Simplify 1/2 into 1/2 15.968 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.969 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 15.969 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.969 * [taylor]: Taking taylor expansion of 1/2 in x 15.969 * [backup-simplify]: Simplify 1/2 into 1/2 15.969 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.970 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.970 * [taylor]: Taking taylor expansion of 1/2 in x 15.970 * [backup-simplify]: Simplify 1/2 into 1/2 15.970 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.971 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 15.972 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 15.972 * [backup-simplify]: Simplify (* 0 0) into 0 15.973 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 15.975 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 15.977 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2) 15.978 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.980 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 15.982 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0 15.982 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 15.983 * [backup-simplify]: Simplify (+ 0 0) into 0 15.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0 15.984 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x 15.984 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 15.984 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 15.984 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x 15.984 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 15.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 15.984 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.984 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.984 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.984 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.984 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.984 * [taylor]: Taking taylor expansion of 1 in x 15.984 * [backup-simplify]: Simplify 1 into 1 15.984 * [taylor]: Taking taylor expansion of 1 in x 15.984 * [backup-simplify]: Simplify 1 into 1 15.984 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.984 * [taylor]: Taking taylor expansion of x in x 15.984 * [backup-simplify]: Simplify 0 into 0 15.984 * [backup-simplify]: Simplify 1 into 1 15.984 * [backup-simplify]: Simplify (/ 1 1) into 1 15.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.985 * [taylor]: Taking taylor expansion of x in x 15.985 * [backup-simplify]: Simplify 0 into 0 15.985 * [backup-simplify]: Simplify 1 into 1 15.985 * [backup-simplify]: Simplify (/ 1 1) into 1 15.985 * [backup-simplify]: Simplify (* 1 1) into 1 15.986 * [backup-simplify]: Simplify (+ 0 1) into 1 15.986 * [backup-simplify]: Simplify (sqrt 1) into 1 15.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.988 * [backup-simplify]: Simplify (+ 0 0) into 0 15.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.989 * [backup-simplify]: Simplify (/ 1 1) into 1 15.990 * [backup-simplify]: Simplify (sqrt 0) into 0 15.991 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.991 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 15.991 * [taylor]: Taking taylor expansion of 1/2 in x 15.991 * [backup-simplify]: Simplify 1/2 into 1/2 15.991 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 15.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 15.992 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 15.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 15.992 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.992 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.992 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.992 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.992 * [taylor]: Taking taylor expansion of 1 in x 15.992 * [backup-simplify]: Simplify 1 into 1 15.992 * [taylor]: Taking taylor expansion of 1 in x 15.992 * [backup-simplify]: Simplify 1 into 1 15.992 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.993 * [taylor]: Taking taylor expansion of x in x 15.993 * [backup-simplify]: Simplify 0 into 0 15.993 * [backup-simplify]: Simplify 1 into 1 15.993 * [backup-simplify]: Simplify (/ 1 1) into 1 15.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.993 * [taylor]: Taking taylor expansion of x in x 15.993 * [backup-simplify]: Simplify 0 into 0 15.993 * [backup-simplify]: Simplify 1 into 1 15.993 * [backup-simplify]: Simplify (/ 1 1) into 1 15.994 * [backup-simplify]: Simplify (* 1 1) into 1 15.994 * [backup-simplify]: Simplify (+ 0 1) into 1 15.995 * [backup-simplify]: Simplify (sqrt 1) into 1 15.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.997 * [backup-simplify]: Simplify (+ 0 0) into 0 15.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.998 * [backup-simplify]: Simplify (/ 1 1) into 1 15.998 * [backup-simplify]: Simplify (sqrt 0) into 0 16.000 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.000 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.000 * [taylor]: Taking taylor expansion of 1/2 in x 16.000 * [backup-simplify]: Simplify 1/2 into 1/2 16.000 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.001 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.001 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.001 * [taylor]: Taking taylor expansion of 1/2 in x 16.001 * [backup-simplify]: Simplify 1/2 into 1/2 16.001 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.002 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.002 * [taylor]: Taking taylor expansion of 1/2 in x 16.002 * [backup-simplify]: Simplify 1/2 into 1/2 16.003 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.007 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.008 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.008 * [backup-simplify]: Simplify (* 0 0) into 0 16.009 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.011 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 16.012 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2) 16.015 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.017 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.019 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0 16.020 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.020 * [backup-simplify]: Simplify (+ 0 0) into 0 16.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0 16.022 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.022 * [backup-simplify]: Simplify 0 into 0 16.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.028 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.038 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.051 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.051 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.053 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 16.055 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.059 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2)) 16.059 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2)) 16.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.060 * [backup-simplify]: Simplify (* 1 1) into 1 16.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.062 * [backup-simplify]: Simplify (+ 1 0) into 1 16.063 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.066 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 16.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.070 * [backup-simplify]: Simplify (* 1 1) into 1 16.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.072 * [backup-simplify]: Simplify (+ 1 0) into 1 16.072 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.075 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 16.094 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.098 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 16.101 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.110 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2)) 16.111 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2)) 16.114 * [backup-simplify]: Simplify (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 x) 3)) (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 x) 2)) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))) 16.114 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 16.114 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0 16.114 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x 16.115 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 16.115 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 16.115 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x 16.115 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 16.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 16.115 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.115 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.115 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.115 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.115 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.115 * [taylor]: Taking taylor expansion of 1 in x 16.115 * [backup-simplify]: Simplify 1 into 1 16.115 * [taylor]: Taking taylor expansion of 1 in x 16.115 * [backup-simplify]: Simplify 1 into 1 16.115 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.115 * [taylor]: Taking taylor expansion of -1 in x 16.115 * [backup-simplify]: Simplify -1 into -1 16.115 * [taylor]: Taking taylor expansion of x in x 16.115 * [backup-simplify]: Simplify 0 into 0 16.115 * [backup-simplify]: Simplify 1 into 1 16.116 * [backup-simplify]: Simplify (/ -1 1) into -1 16.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.116 * [taylor]: Taking taylor expansion of -1 in x 16.116 * [backup-simplify]: Simplify -1 into -1 16.116 * [taylor]: Taking taylor expansion of x in x 16.116 * [backup-simplify]: Simplify 0 into 0 16.116 * [backup-simplify]: Simplify 1 into 1 16.116 * [backup-simplify]: Simplify (/ -1 1) into -1 16.117 * [backup-simplify]: Simplify (* -1 -1) into 1 16.117 * [backup-simplify]: Simplify (+ 0 1) into 1 16.117 * [backup-simplify]: Simplify (sqrt 1) into 1 16.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.120 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.120 * [backup-simplify]: Simplify (+ 0 0) into 0 16.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.121 * [backup-simplify]: Simplify (/ 1 1) into 1 16.122 * [backup-simplify]: Simplify (sqrt 0) into 0 16.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.123 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.123 * [taylor]: Taking taylor expansion of 1/2 in x 16.123 * [backup-simplify]: Simplify 1/2 into 1/2 16.124 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.125 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 16.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 16.125 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.125 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.125 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.125 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.125 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.125 * [taylor]: Taking taylor expansion of 1 in x 16.125 * [backup-simplify]: Simplify 1 into 1 16.125 * [taylor]: Taking taylor expansion of 1 in x 16.125 * [backup-simplify]: Simplify 1 into 1 16.125 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.125 * [taylor]: Taking taylor expansion of -1 in x 16.125 * [backup-simplify]: Simplify -1 into -1 16.125 * [taylor]: Taking taylor expansion of x in x 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify 1 into 1 16.126 * [backup-simplify]: Simplify (/ -1 1) into -1 16.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.126 * [taylor]: Taking taylor expansion of -1 in x 16.126 * [backup-simplify]: Simplify -1 into -1 16.126 * [taylor]: Taking taylor expansion of x in x 16.126 * [backup-simplify]: Simplify 0 into 0 16.126 * [backup-simplify]: Simplify 1 into 1 16.126 * [backup-simplify]: Simplify (/ -1 1) into -1 16.127 * [backup-simplify]: Simplify (* -1 -1) into 1 16.127 * [backup-simplify]: Simplify (+ 0 1) into 1 16.127 * [backup-simplify]: Simplify (sqrt 1) into 1 16.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.132 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.133 * [backup-simplify]: Simplify (+ 0 0) into 0 16.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.134 * [backup-simplify]: Simplify (/ 1 1) into 1 16.134 * [backup-simplify]: Simplify (sqrt 0) into 0 16.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.136 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.136 * [taylor]: Taking taylor expansion of 1/2 in x 16.136 * [backup-simplify]: Simplify 1/2 into 1/2 16.136 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.137 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.137 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.137 * [taylor]: Taking taylor expansion of 1/2 in x 16.137 * [backup-simplify]: Simplify 1/2 into 1/2 16.138 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.138 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.138 * [taylor]: Taking taylor expansion of 1/2 in x 16.138 * [backup-simplify]: Simplify 1/2 into 1/2 16.139 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.140 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.141 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.141 * [backup-simplify]: Simplify (* 0 0) into 0 16.142 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.143 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 16.144 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2) 16.145 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.146 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.147 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0 16.147 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.148 * [backup-simplify]: Simplify (+ 0 0) into 0 16.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0 16.148 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x 16.148 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 16.148 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 16.148 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x 16.148 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 16.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 16.148 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.148 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.148 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.148 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.148 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.148 * [taylor]: Taking taylor expansion of 1 in x 16.148 * [backup-simplify]: Simplify 1 into 1 16.148 * [taylor]: Taking taylor expansion of 1 in x 16.148 * [backup-simplify]: Simplify 1 into 1 16.148 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.148 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.148 * [taylor]: Taking taylor expansion of -1 in x 16.149 * [backup-simplify]: Simplify -1 into -1 16.149 * [taylor]: Taking taylor expansion of x in x 16.149 * [backup-simplify]: Simplify 0 into 0 16.149 * [backup-simplify]: Simplify 1 into 1 16.149 * [backup-simplify]: Simplify (/ -1 1) into -1 16.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.149 * [taylor]: Taking taylor expansion of -1 in x 16.149 * [backup-simplify]: Simplify -1 into -1 16.149 * [taylor]: Taking taylor expansion of x in x 16.149 * [backup-simplify]: Simplify 0 into 0 16.149 * [backup-simplify]: Simplify 1 into 1 16.149 * [backup-simplify]: Simplify (/ -1 1) into -1 16.149 * [backup-simplify]: Simplify (* -1 -1) into 1 16.150 * [backup-simplify]: Simplify (+ 0 1) into 1 16.150 * [backup-simplify]: Simplify (sqrt 1) into 1 16.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.151 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.152 * [backup-simplify]: Simplify (+ 0 0) into 0 16.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.152 * [backup-simplify]: Simplify (/ 1 1) into 1 16.153 * [backup-simplify]: Simplify (sqrt 0) into 0 16.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.154 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.154 * [taylor]: Taking taylor expansion of 1/2 in x 16.154 * [backup-simplify]: Simplify 1/2 into 1/2 16.154 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.154 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 16.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 16.154 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.154 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.154 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.154 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.154 * [taylor]: Taking taylor expansion of 1 in x 16.154 * [backup-simplify]: Simplify 1 into 1 16.154 * [taylor]: Taking taylor expansion of 1 in x 16.154 * [backup-simplify]: Simplify 1 into 1 16.155 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.155 * [taylor]: Taking taylor expansion of -1 in x 16.155 * [backup-simplify]: Simplify -1 into -1 16.155 * [taylor]: Taking taylor expansion of x in x 16.155 * [backup-simplify]: Simplify 0 into 0 16.155 * [backup-simplify]: Simplify 1 into 1 16.155 * [backup-simplify]: Simplify (/ -1 1) into -1 16.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.155 * [taylor]: Taking taylor expansion of -1 in x 16.155 * [backup-simplify]: Simplify -1 into -1 16.155 * [taylor]: Taking taylor expansion of x in x 16.155 * [backup-simplify]: Simplify 0 into 0 16.155 * [backup-simplify]: Simplify 1 into 1 16.155 * [backup-simplify]: Simplify (/ -1 1) into -1 16.155 * [backup-simplify]: Simplify (* -1 -1) into 1 16.156 * [backup-simplify]: Simplify (+ 0 1) into 1 16.156 * [backup-simplify]: Simplify (sqrt 1) into 1 16.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.157 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.158 * [backup-simplify]: Simplify (+ 0 0) into 0 16.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.158 * [backup-simplify]: Simplify (/ 1 1) into 1 16.158 * [backup-simplify]: Simplify (sqrt 0) into 0 16.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.159 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.159 * [taylor]: Taking taylor expansion of 1/2 in x 16.159 * [backup-simplify]: Simplify 1/2 into 1/2 16.160 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.160 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.160 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.160 * [taylor]: Taking taylor expansion of 1/2 in x 16.160 * [backup-simplify]: Simplify 1/2 into 1/2 16.160 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.161 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.161 * [taylor]: Taking taylor expansion of 1/2 in x 16.161 * [backup-simplify]: Simplify 1/2 into 1/2 16.161 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.162 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.163 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.163 * [backup-simplify]: Simplify (* 0 0) into 0 16.164 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.166 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 16.168 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2) 16.170 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.172 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.173 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0 16.174 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.174 * [backup-simplify]: Simplify (+ 0 0) into 0 16.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0 16.176 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.176 * [backup-simplify]: Simplify 0 into 0 16.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.181 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.186 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.190 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.203 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.204 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.205 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.206 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 16.210 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.217 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2)) 16.218 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2)) 16.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.220 * [backup-simplify]: Simplify (* 1 1) into 1 16.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.223 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.224 * [backup-simplify]: Simplify (+ 1 0) into 1 16.225 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.230 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 16.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.237 * [backup-simplify]: Simplify (* 1 1) into 1 16.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.239 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.240 * [backup-simplify]: Simplify (+ 1 0) into 1 16.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.245 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 16.266 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.270 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 16.274 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.282 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2)) 16.283 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2)) 16.285 * [backup-simplify]: Simplify (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 (- x)) 3)) (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 (- x)) 2)) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))) 16.285 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 16.286 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) 16.286 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0 16.286 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in x 16.286 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x 16.286 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 16.286 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 16.286 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x 16.286 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 16.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 16.286 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 16.286 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 16.286 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 16.286 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 16.286 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.286 * [taylor]: Taking taylor expansion of 1 in x 16.286 * [backup-simplify]: Simplify 1 into 1 16.286 * [taylor]: Taking taylor expansion of 1 in x 16.286 * [backup-simplify]: Simplify 1 into 1 16.286 * [taylor]: Taking taylor expansion of (* x x) in x 16.286 * [taylor]: Taking taylor expansion of x in x 16.286 * [backup-simplify]: Simplify 0 into 0 16.286 * [backup-simplify]: Simplify 1 into 1 16.286 * [taylor]: Taking taylor expansion of x in x 16.286 * [backup-simplify]: Simplify 0 into 0 16.286 * [backup-simplify]: Simplify 1 into 1 16.286 * [backup-simplify]: Simplify (* 1 1) into 1 16.287 * [backup-simplify]: Simplify (* 0 0) into 0 16.287 * [backup-simplify]: Simplify (+ 1 0) into 1 16.287 * [backup-simplify]: Simplify (sqrt 1) into 1 16.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.288 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.288 * [backup-simplify]: Simplify (+ 0 0) into 0 16.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.289 * [backup-simplify]: Simplify (/ 1 1) into 1 16.289 * [backup-simplify]: Simplify (sqrt 1) into 1 16.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.290 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.290 * [taylor]: Taking taylor expansion of 1/2 in x 16.290 * [backup-simplify]: Simplify 1/2 into 1/2 16.290 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.291 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 16.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 16.291 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 16.291 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 16.291 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 16.291 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 16.291 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.291 * [taylor]: Taking taylor expansion of 1 in x 16.291 * [backup-simplify]: Simplify 1 into 1 16.291 * [taylor]: Taking taylor expansion of 1 in x 16.291 * [backup-simplify]: Simplify 1 into 1 16.291 * [taylor]: Taking taylor expansion of (* x x) in x 16.291 * [taylor]: Taking taylor expansion of x in x 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify 1 into 1 16.291 * [taylor]: Taking taylor expansion of x in x 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify 1 into 1 16.291 * [backup-simplify]: Simplify (* 1 1) into 1 16.291 * [backup-simplify]: Simplify (* 0 0) into 0 16.292 * [backup-simplify]: Simplify (+ 1 0) into 1 16.292 * [backup-simplify]: Simplify (sqrt 1) into 1 16.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.293 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.293 * [backup-simplify]: Simplify (+ 0 0) into 0 16.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.294 * [backup-simplify]: Simplify (/ 1 1) into 1 16.294 * [backup-simplify]: Simplify (sqrt 1) into 1 16.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.295 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.295 * [taylor]: Taking taylor expansion of 1/2 in x 16.295 * [backup-simplify]: Simplify 1/2 into 1/2 16.295 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.296 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.296 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.296 * [taylor]: Taking taylor expansion of 1/2 in x 16.296 * [backup-simplify]: Simplify 1/2 into 1/2 16.296 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.296 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.296 * [taylor]: Taking taylor expansion of 1/2 in x 16.296 * [backup-simplify]: Simplify 1/2 into 1/2 16.297 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.298 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 16.299 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 16.299 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.300 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.301 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2)) 16.303 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2)) 16.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 16.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 16.305 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.305 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.305 * [backup-simplify]: Simplify (+ 0 0) into 0 16.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0 16.306 * [taylor]: Taking taylor expansion of 1 in x 16.306 * [backup-simplify]: Simplify 1 into 1 16.306 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in x 16.306 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x 16.306 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 16.307 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 16.307 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x 16.307 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 16.307 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 16.307 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 16.307 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 16.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 16.307 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 16.307 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.307 * [taylor]: Taking taylor expansion of 1 in x 16.307 * [backup-simplify]: Simplify 1 into 1 16.307 * [taylor]: Taking taylor expansion of 1 in x 16.307 * [backup-simplify]: Simplify 1 into 1 16.307 * [taylor]: Taking taylor expansion of (* x x) in x 16.307 * [taylor]: Taking taylor expansion of x in x 16.307 * [backup-simplify]: Simplify 0 into 0 16.307 * [backup-simplify]: Simplify 1 into 1 16.307 * [taylor]: Taking taylor expansion of x in x 16.307 * [backup-simplify]: Simplify 0 into 0 16.307 * [backup-simplify]: Simplify 1 into 1 16.307 * [backup-simplify]: Simplify (* 1 1) into 1 16.308 * [backup-simplify]: Simplify (* 0 0) into 0 16.308 * [backup-simplify]: Simplify (+ 1 0) into 1 16.308 * [backup-simplify]: Simplify (sqrt 1) into 1 16.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.310 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.310 * [backup-simplify]: Simplify (+ 0 0) into 0 16.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.311 * [backup-simplify]: Simplify (/ 1 1) into 1 16.311 * [backup-simplify]: Simplify (sqrt 1) into 1 16.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.313 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.313 * [taylor]: Taking taylor expansion of 1/2 in x 16.313 * [backup-simplify]: Simplify 1/2 into 1/2 16.313 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.314 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x 16.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x 16.314 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 16.314 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 16.314 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 16.314 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 16.314 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.314 * [taylor]: Taking taylor expansion of 1 in x 16.314 * [backup-simplify]: Simplify 1 into 1 16.314 * [taylor]: Taking taylor expansion of 1 in x 16.314 * [backup-simplify]: Simplify 1 into 1 16.314 * [taylor]: Taking taylor expansion of (* x x) in x 16.314 * [taylor]: Taking taylor expansion of x in x 16.314 * [backup-simplify]: Simplify 0 into 0 16.314 * [backup-simplify]: Simplify 1 into 1 16.314 * [taylor]: Taking taylor expansion of x in x 16.314 * [backup-simplify]: Simplify 0 into 0 16.314 * [backup-simplify]: Simplify 1 into 1 16.314 * [backup-simplify]: Simplify (* 1 1) into 1 16.315 * [backup-simplify]: Simplify (* 0 0) into 0 16.315 * [backup-simplify]: Simplify (+ 1 0) into 1 16.315 * [backup-simplify]: Simplify (sqrt 1) into 1 16.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.317 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.317 * [backup-simplify]: Simplify (+ 0 0) into 0 16.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.318 * [backup-simplify]: Simplify (/ 1 1) into 1 16.318 * [backup-simplify]: Simplify (sqrt 1) into 1 16.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.320 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.320 * [taylor]: Taking taylor expansion of 1/2 in x 16.320 * [backup-simplify]: Simplify 1/2 into 1/2 16.320 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.321 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.321 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.321 * [taylor]: Taking taylor expansion of 1/2 in x 16.321 * [backup-simplify]: Simplify 1/2 into 1/2 16.321 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.322 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.322 * [taylor]: Taking taylor expansion of 1/2 in x 16.322 * [backup-simplify]: Simplify 1/2 into 1/2 16.322 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.324 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 16.325 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2) 16.326 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.327 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.329 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2)) 16.331 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2)) 16.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 16.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0 16.334 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.335 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.335 * [backup-simplify]: Simplify (+ 0 0) into 0 16.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0 16.336 * [taylor]: Taking taylor expansion of 1 in x 16.336 * [backup-simplify]: Simplify 1 into 1 16.338 * [backup-simplify]: Simplify (+ (* (sqrt 2) (sqrt 1/2)) 1) into (+ (* (sqrt 2) (sqrt 1/2)) 1) 16.341 * [backup-simplify]: Simplify (+ (* (sqrt 2) (sqrt 1/2)) 1) into (+ (* (sqrt 2) (sqrt 1/2)) 1) 16.341 * [backup-simplify]: Simplify (+ 0 0) into 0 16.341 * [backup-simplify]: Simplify 0 into 0 16.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 16.344 * [backup-simplify]: Simplify (+ 0 1) into 1 16.345 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.347 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 16.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2))) 16.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 16.355 * [backup-simplify]: Simplify (+ 0 1) into 1 16.356 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.358 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4 16.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2))) 16.370 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (- (* 1/4 (sqrt 1/2))) (sqrt 1/2)))) into (- (* 1/2 (pow (sqrt 1/2) 2))) 16.371 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.373 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 16.377 * [backup-simplify]: Simplify (+ (- (* 1/2 (pow (sqrt 1/2) 2))) 0) into (- (* 1/2 (pow (sqrt 1/2) 2))) 16.388 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 16.392 * [backup-simplify]: Simplify (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 0) into (- (* 1/4 (/ (sqrt 1/2) (sqrt 2)))) 16.395 * [backup-simplify]: Simplify (- (* 1/4 (/ (sqrt 1/2) (sqrt 2)))) into (- (* 1/4 (/ (sqrt 1/2) (sqrt 2)))) 16.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 16.399 * [backup-simplify]: Simplify (+ 0 0) into 0 16.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 16.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 16.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 16.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0 16.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 16.410 * [backup-simplify]: Simplify (+ 0 0) into 0 16.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 16.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 16.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0 16.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0 16.418 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/4 (sqrt 1/2)))) (+ (* (- (* 1/4 (sqrt 1/2))) 0) (* 0 (sqrt 1/2))))) into 0 16.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.422 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 16.422 * [backup-simplify]: Simplify (+ 0 0) into 0 16.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/4 (/ (sqrt 1/2) (sqrt 2))))))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into 0 16.425 * [backup-simplify]: Simplify (+ 0 0) into 0 16.425 * [backup-simplify]: Simplify 0 into 0 16.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.429 * [backup-simplify]: Simplify (+ 0 0) into 0 16.431 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 16.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 16.434 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 16.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2)) 16.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.447 * [backup-simplify]: Simplify (+ 0 0) into 0 16.448 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 16.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 16.452 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32 16.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2)) 16.475 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* 5/32 (sqrt 1/2))) (+ (* 0 0) (+ (* (- (* 1/4 (sqrt 1/2))) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (* 5/32 (sqrt 1/2)) (sqrt 1/2)))))) into (* 3/8 (pow (sqrt 1/2) 2)) 16.477 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.478 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.480 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 16.482 * [backup-simplify]: Simplify (+ (* 3/8 (pow (sqrt 1/2) 2)) 0) into (* 3/8 (pow (sqrt 1/2) 2)) 16.495 * [backup-simplify]: Simplify (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (pow (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) 16.510 * [backup-simplify]: Simplify (+ (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) 0) into (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3)))) 16.517 * [backup-simplify]: Simplify (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3)))) into (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3)))) 16.533 * [backup-simplify]: Simplify (+ (* (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (* 1/4 (/ (sqrt 1/2) (sqrt 2)))) (pow x 2)) (+ (* (sqrt 2) (sqrt 1/2)) 1))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (+ 1 (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))) 16.533 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) 16.533 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0 16.533 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x 16.533 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x 16.533 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 16.533 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 16.533 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x 16.534 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 16.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 16.534 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 16.534 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 16.534 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 16.534 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 16.534 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.534 * [taylor]: Taking taylor expansion of 1 in x 16.534 * [backup-simplify]: Simplify 1 into 1 16.534 * [taylor]: Taking taylor expansion of 1 in x 16.534 * [backup-simplify]: Simplify 1 into 1 16.534 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 16.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.534 * [taylor]: Taking taylor expansion of x in x 16.534 * [backup-simplify]: Simplify 0 into 0 16.534 * [backup-simplify]: Simplify 1 into 1 16.534 * [backup-simplify]: Simplify (/ 1 1) into 1 16.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.534 * [taylor]: Taking taylor expansion of x in x 16.534 * [backup-simplify]: Simplify 0 into 0 16.534 * [backup-simplify]: Simplify 1 into 1 16.535 * [backup-simplify]: Simplify (/ 1 1) into 1 16.535 * [backup-simplify]: Simplify (* 1 1) into 1 16.536 * [backup-simplify]: Simplify (+ 0 1) into 1 16.536 * [backup-simplify]: Simplify (sqrt 1) into 1 16.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.539 * [backup-simplify]: Simplify (+ 0 0) into 0 16.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.540 * [backup-simplify]: Simplify (/ 1 1) into 1 16.540 * [backup-simplify]: Simplify (sqrt 0) into 0 16.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.542 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.542 * [taylor]: Taking taylor expansion of 1/2 in x 16.542 * [backup-simplify]: Simplify 1/2 into 1/2 16.542 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.543 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 16.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 16.543 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 16.543 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 16.543 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 16.543 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 16.543 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.543 * [taylor]: Taking taylor expansion of 1 in x 16.543 * [backup-simplify]: Simplify 1 into 1 16.543 * [taylor]: Taking taylor expansion of 1 in x 16.543 * [backup-simplify]: Simplify 1 into 1 16.543 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 16.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.543 * [taylor]: Taking taylor expansion of x in x 16.543 * [backup-simplify]: Simplify 0 into 0 16.543 * [backup-simplify]: Simplify 1 into 1 16.544 * [backup-simplify]: Simplify (/ 1 1) into 1 16.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.544 * [taylor]: Taking taylor expansion of x in x 16.544 * [backup-simplify]: Simplify 0 into 0 16.544 * [backup-simplify]: Simplify 1 into 1 16.544 * [backup-simplify]: Simplify (/ 1 1) into 1 16.544 * [backup-simplify]: Simplify (* 1 1) into 1 16.545 * [backup-simplify]: Simplify (+ 0 1) into 1 16.545 * [backup-simplify]: Simplify (sqrt 1) into 1 16.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.548 * [backup-simplify]: Simplify (+ 0 0) into 0 16.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.549 * [backup-simplify]: Simplify (/ 1 1) into 1 16.549 * [backup-simplify]: Simplify (sqrt 0) into 0 16.551 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.551 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.551 * [taylor]: Taking taylor expansion of 1/2 in x 16.551 * [backup-simplify]: Simplify 1/2 into 1/2 16.551 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.552 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.552 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.552 * [taylor]: Taking taylor expansion of 1/2 in x 16.552 * [backup-simplify]: Simplify 1/2 into 1/2 16.552 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.553 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.553 * [taylor]: Taking taylor expansion of 1/2 in x 16.553 * [backup-simplify]: Simplify 1/2 into 1/2 16.554 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.555 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.556 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.556 * [backup-simplify]: Simplify (* 0 0) into 0 16.557 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.559 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 16.560 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2) 16.562 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.564 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.566 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0 16.567 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.567 * [backup-simplify]: Simplify (+ 0 0) into 0 16.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0 16.568 * [taylor]: Taking taylor expansion of 1 in x 16.569 * [backup-simplify]: Simplify 1 into 1 16.569 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x 16.569 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x 16.569 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 16.569 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 16.569 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x 16.569 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 16.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 16.569 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 16.569 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 16.569 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 16.569 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 16.569 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.569 * [taylor]: Taking taylor expansion of 1 in x 16.569 * [backup-simplify]: Simplify 1 into 1 16.569 * [taylor]: Taking taylor expansion of 1 in x 16.569 * [backup-simplify]: Simplify 1 into 1 16.569 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 16.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.569 * [taylor]: Taking taylor expansion of x in x 16.569 * [backup-simplify]: Simplify 0 into 0 16.569 * [backup-simplify]: Simplify 1 into 1 16.570 * [backup-simplify]: Simplify (/ 1 1) into 1 16.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.570 * [taylor]: Taking taylor expansion of x in x 16.570 * [backup-simplify]: Simplify 0 into 0 16.570 * [backup-simplify]: Simplify 1 into 1 16.570 * [backup-simplify]: Simplify (/ 1 1) into 1 16.571 * [backup-simplify]: Simplify (* 1 1) into 1 16.571 * [backup-simplify]: Simplify (+ 0 1) into 1 16.572 * [backup-simplify]: Simplify (sqrt 1) into 1 16.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.574 * [backup-simplify]: Simplify (+ 0 0) into 0 16.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.576 * [backup-simplify]: Simplify (/ 1 1) into 1 16.576 * [backup-simplify]: Simplify (sqrt 0) into 0 16.577 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.577 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.577 * [taylor]: Taking taylor expansion of 1/2 in x 16.577 * [backup-simplify]: Simplify 1/2 into 1/2 16.578 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.579 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x 16.579 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x 16.579 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 16.579 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 16.579 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 16.579 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 16.579 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.579 * [taylor]: Taking taylor expansion of 1 in x 16.579 * [backup-simplify]: Simplify 1 into 1 16.579 * [taylor]: Taking taylor expansion of 1 in x 16.579 * [backup-simplify]: Simplify 1 into 1 16.579 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 16.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.579 * [taylor]: Taking taylor expansion of x in x 16.579 * [backup-simplify]: Simplify 0 into 0 16.579 * [backup-simplify]: Simplify 1 into 1 16.579 * [backup-simplify]: Simplify (/ 1 1) into 1 16.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 16.580 * [taylor]: Taking taylor expansion of x in x 16.580 * [backup-simplify]: Simplify 0 into 0 16.580 * [backup-simplify]: Simplify 1 into 1 16.580 * [backup-simplify]: Simplify (/ 1 1) into 1 16.580 * [backup-simplify]: Simplify (* 1 1) into 1 16.581 * [backup-simplify]: Simplify (+ 0 1) into 1 16.581 * [backup-simplify]: Simplify (sqrt 1) into 1 16.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.584 * [backup-simplify]: Simplify (+ 0 0) into 0 16.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.585 * [backup-simplify]: Simplify (/ 1 1) into 1 16.585 * [backup-simplify]: Simplify (sqrt 0) into 0 16.587 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.587 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.587 * [taylor]: Taking taylor expansion of 1/2 in x 16.587 * [backup-simplify]: Simplify 1/2 into 1/2 16.587 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.588 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.588 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.588 * [taylor]: Taking taylor expansion of 1/2 in x 16.588 * [backup-simplify]: Simplify 1/2 into 1/2 16.588 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.589 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.589 * [taylor]: Taking taylor expansion of 1/2 in x 16.589 * [backup-simplify]: Simplify 1/2 into 1/2 16.590 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.591 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.592 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.592 * [backup-simplify]: Simplify (* 0 0) into 0 16.593 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.595 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 16.597 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2) 16.599 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.601 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.602 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0 16.603 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.603 * [backup-simplify]: Simplify (+ 0 0) into 0 16.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0 16.604 * [taylor]: Taking taylor expansion of 1 in x 16.604 * [backup-simplify]: Simplify 1 into 1 16.605 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 16.606 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 16.607 * [backup-simplify]: Simplify (+ 0 0) into 0 16.607 * [backup-simplify]: Simplify 0 into 0 16.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.612 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.621 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.631 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.633 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 16.635 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.639 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2)) 16.640 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2))) 16.641 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.642 * [backup-simplify]: Simplify (* 1 1) into 1 16.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.644 * [backup-simplify]: Simplify (+ 1 0) into 1 16.644 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.647 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 16.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.653 * [backup-simplify]: Simplify (* 1 1) into 1 16.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.655 * [backup-simplify]: Simplify (+ 1 0) into 1 16.656 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.659 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 16.669 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.671 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 16.673 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.678 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2)) 16.679 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2))) 16.681 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.683 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 2)) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3)))))) 16.684 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) 16.684 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0 16.684 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x 16.684 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x 16.684 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 16.684 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 16.684 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x 16.684 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 16.684 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 16.684 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.684 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.684 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.684 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.684 * [taylor]: Taking taylor expansion of 1 in x 16.684 * [backup-simplify]: Simplify 1 into 1 16.684 * [taylor]: Taking taylor expansion of 1 in x 16.684 * [backup-simplify]: Simplify 1 into 1 16.684 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.684 * [taylor]: Taking taylor expansion of -1 in x 16.684 * [backup-simplify]: Simplify -1 into -1 16.684 * [taylor]: Taking taylor expansion of x in x 16.684 * [backup-simplify]: Simplify 0 into 0 16.684 * [backup-simplify]: Simplify 1 into 1 16.684 * [backup-simplify]: Simplify (/ -1 1) into -1 16.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.685 * [taylor]: Taking taylor expansion of -1 in x 16.685 * [backup-simplify]: Simplify -1 into -1 16.685 * [taylor]: Taking taylor expansion of x in x 16.685 * [backup-simplify]: Simplify 0 into 0 16.685 * [backup-simplify]: Simplify 1 into 1 16.685 * [backup-simplify]: Simplify (/ -1 1) into -1 16.685 * [backup-simplify]: Simplify (* -1 -1) into 1 16.686 * [backup-simplify]: Simplify (+ 0 1) into 1 16.686 * [backup-simplify]: Simplify (sqrt 1) into 1 16.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.687 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.687 * [backup-simplify]: Simplify (+ 0 0) into 0 16.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.688 * [backup-simplify]: Simplify (/ 1 1) into 1 16.688 * [backup-simplify]: Simplify (sqrt 0) into 0 16.689 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.689 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.689 * [taylor]: Taking taylor expansion of 1/2 in x 16.689 * [backup-simplify]: Simplify 1/2 into 1/2 16.689 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.690 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 16.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 16.690 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.690 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.690 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.690 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.690 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.690 * [taylor]: Taking taylor expansion of 1 in x 16.690 * [backup-simplify]: Simplify 1 into 1 16.690 * [taylor]: Taking taylor expansion of 1 in x 16.690 * [backup-simplify]: Simplify 1 into 1 16.690 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.690 * [taylor]: Taking taylor expansion of -1 in x 16.690 * [backup-simplify]: Simplify -1 into -1 16.690 * [taylor]: Taking taylor expansion of x in x 16.690 * [backup-simplify]: Simplify 0 into 0 16.690 * [backup-simplify]: Simplify 1 into 1 16.690 * [backup-simplify]: Simplify (/ -1 1) into -1 16.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.690 * [taylor]: Taking taylor expansion of -1 in x 16.690 * [backup-simplify]: Simplify -1 into -1 16.691 * [taylor]: Taking taylor expansion of x in x 16.691 * [backup-simplify]: Simplify 0 into 0 16.691 * [backup-simplify]: Simplify 1 into 1 16.691 * [backup-simplify]: Simplify (/ -1 1) into -1 16.691 * [backup-simplify]: Simplify (* -1 -1) into 1 16.691 * [backup-simplify]: Simplify (+ 0 1) into 1 16.692 * [backup-simplify]: Simplify (sqrt 1) into 1 16.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.693 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.693 * [backup-simplify]: Simplify (+ 0 0) into 0 16.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.694 * [backup-simplify]: Simplify (/ 1 1) into 1 16.695 * [backup-simplify]: Simplify (sqrt 0) into 0 16.696 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.696 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.696 * [taylor]: Taking taylor expansion of 1/2 in x 16.696 * [backup-simplify]: Simplify 1/2 into 1/2 16.697 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.697 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.697 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.697 * [taylor]: Taking taylor expansion of 1/2 in x 16.698 * [backup-simplify]: Simplify 1/2 into 1/2 16.698 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.699 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.699 * [taylor]: Taking taylor expansion of 1/2 in x 16.699 * [backup-simplify]: Simplify 1/2 into 1/2 16.699 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.701 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.701 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.701 * [backup-simplify]: Simplify (* 0 0) into 0 16.703 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.704 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 16.706 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2) 16.708 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.711 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.712 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0 16.713 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.713 * [backup-simplify]: Simplify (+ 0 0) into 0 16.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0 16.714 * [taylor]: Taking taylor expansion of 1 in x 16.714 * [backup-simplify]: Simplify 1 into 1 16.714 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x 16.714 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x 16.714 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2)))) 16.714 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x 16.715 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x 16.715 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 16.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 16.715 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.715 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.715 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.715 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.715 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.715 * [taylor]: Taking taylor expansion of 1 in x 16.715 * [backup-simplify]: Simplify 1 into 1 16.715 * [taylor]: Taking taylor expansion of 1 in x 16.715 * [backup-simplify]: Simplify 1 into 1 16.715 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.715 * [taylor]: Taking taylor expansion of -1 in x 16.715 * [backup-simplify]: Simplify -1 into -1 16.715 * [taylor]: Taking taylor expansion of x in x 16.715 * [backup-simplify]: Simplify 0 into 0 16.715 * [backup-simplify]: Simplify 1 into 1 16.716 * [backup-simplify]: Simplify (/ -1 1) into -1 16.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.716 * [taylor]: Taking taylor expansion of -1 in x 16.716 * [backup-simplify]: Simplify -1 into -1 16.716 * [taylor]: Taking taylor expansion of x in x 16.716 * [backup-simplify]: Simplify 0 into 0 16.716 * [backup-simplify]: Simplify 1 into 1 16.716 * [backup-simplify]: Simplify (/ -1 1) into -1 16.717 * [backup-simplify]: Simplify (* -1 -1) into 1 16.717 * [backup-simplify]: Simplify (+ 0 1) into 1 16.717 * [backup-simplify]: Simplify (sqrt 1) into 1 16.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.720 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.720 * [backup-simplify]: Simplify (+ 0 0) into 0 16.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.721 * [backup-simplify]: Simplify (/ 1 1) into 1 16.722 * [backup-simplify]: Simplify (sqrt 0) into 0 16.723 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.723 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.723 * [taylor]: Taking taylor expansion of 1/2 in x 16.723 * [backup-simplify]: Simplify 1/2 into 1/2 16.724 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.724 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x 16.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x 16.724 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 16.724 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 16.725 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 16.725 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 16.725 * [taylor]: Taking taylor expansion of (* 1 1) in x 16.725 * [taylor]: Taking taylor expansion of 1 in x 16.725 * [backup-simplify]: Simplify 1 into 1 16.725 * [taylor]: Taking taylor expansion of 1 in x 16.725 * [backup-simplify]: Simplify 1 into 1 16.725 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 16.725 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.725 * [taylor]: Taking taylor expansion of -1 in x 16.725 * [backup-simplify]: Simplify -1 into -1 16.725 * [taylor]: Taking taylor expansion of x in x 16.725 * [backup-simplify]: Simplify 0 into 0 16.725 * [backup-simplify]: Simplify 1 into 1 16.725 * [backup-simplify]: Simplify (/ -1 1) into -1 16.725 * [taylor]: Taking taylor expansion of (/ -1 x) in x 16.725 * [taylor]: Taking taylor expansion of -1 in x 16.725 * [backup-simplify]: Simplify -1 into -1 16.726 * [taylor]: Taking taylor expansion of x in x 16.726 * [backup-simplify]: Simplify 0 into 0 16.726 * [backup-simplify]: Simplify 1 into 1 16.726 * [backup-simplify]: Simplify (/ -1 1) into -1 16.726 * [backup-simplify]: Simplify (* -1 -1) into 1 16.727 * [backup-simplify]: Simplify (+ 0 1) into 1 16.727 * [backup-simplify]: Simplify (sqrt 1) into 1 16.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.730 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.730 * [backup-simplify]: Simplify (+ 0 0) into 0 16.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.731 * [backup-simplify]: Simplify (/ 1 1) into 1 16.732 * [backup-simplify]: Simplify (sqrt 0) into 0 16.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.733 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.733 * [taylor]: Taking taylor expansion of 1/2 in x 16.733 * [backup-simplify]: Simplify 1/2 into 1/2 16.734 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.734 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x 16.734 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.734 * [taylor]: Taking taylor expansion of 1/2 in x 16.734 * [backup-simplify]: Simplify 1/2 into 1/2 16.735 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.736 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x 16.737 * [taylor]: Taking taylor expansion of 1/2 in x 16.737 * [backup-simplify]: Simplify 1/2 into 1/2 16.737 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 16.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 16.738 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.739 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 16.739 * [backup-simplify]: Simplify (* 0 0) into 0 16.740 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 16.742 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 16.743 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2) 16.745 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.747 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.748 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0 16.749 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 16.749 * [backup-simplify]: Simplify (+ 0 0) into 0 16.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0 16.750 * [taylor]: Taking taylor expansion of 1 in x 16.750 * [backup-simplify]: Simplify 1 into 1 16.751 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 16.752 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 16.752 * [backup-simplify]: Simplify (+ 0 0) into 0 16.752 * [backup-simplify]: Simplify 0 into 0 16.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.757 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.766 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 16.774 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.775 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.775 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 16.776 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 16.779 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.784 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2)) 16.785 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2))) 16.786 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.787 * [backup-simplify]: Simplify (* 1 1) into 1 16.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.789 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.789 * [backup-simplify]: Simplify (+ 1 0) into 1 16.789 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.792 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 16.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.797 * [backup-simplify]: Simplify (* 1 1) into 1 16.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.799 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.799 * [backup-simplify]: Simplify (+ 1 0) into 1 16.799 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 16.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 16.804 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2))) 16.822 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 16.826 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 16.829 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2))) 16.838 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2)) 16.839 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2))) 16.841 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 16.845 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 2)) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3)))))) 16.845 * * * [progress]: simplifying candidates 16.845 * * * * [progress]: [ 1 / 105 ] simplifiying candidate # 16.845 * * * * [progress]: [ 2 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 3 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 4 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 5 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 6 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 7 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 8 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 9 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 10 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 11 / 105 ] simplifiying candidate # 16.846 * * * * [progress]: [ 12 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 13 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 14 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 15 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 16 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 17 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 18 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 19 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 20 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 21 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 22 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 23 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 24 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 25 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 26 / 105 ] simplifiying candidate # 16.847 * * * * [progress]: [ 27 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 28 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 29 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 30 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 31 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 32 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 33 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 34 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 35 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 36 / 105 ] simplifiying candidate #real (real->posit16 (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))> 16.848 * * * * [progress]: [ 37 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 38 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 39 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 40 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 41 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 42 / 105 ] simplifiying candidate # 16.848 * * * * [progress]: [ 43 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 44 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 45 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 46 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 47 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 48 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 49 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 50 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 51 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 52 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 53 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 54 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 55 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 56 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 57 / 105 ] simplifiying candidate # 16.849 * * * * [progress]: [ 58 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 59 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 60 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 61 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 62 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 63 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 64 / 105 ] simplifiying candidate #real (real->posit16 (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))> 16.850 * * * * [progress]: [ 65 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 66 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 67 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 68 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 69 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 70 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 71 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 72 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 73 / 105 ] simplifiying candidate # 16.850 * * * * [progress]: [ 74 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 75 / 105 ] simplifiying candidate #real (real->posit16 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))> 16.851 * * * * [progress]: [ 76 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 77 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 78 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 79 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 80 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 81 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 82 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 83 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 84 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 85 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 86 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 87 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 88 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 89 / 105 ] simplifiying candidate # 16.851 * * * * [progress]: [ 90 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 91 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 92 / 105 ] simplifiying candidate #real (real->posit16 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))> 16.852 * * * * [progress]: [ 93 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 94 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 95 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 96 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 97 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 98 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 99 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 100 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 101 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 102 / 105 ] simplifiying candidate # 16.852 * * * * [progress]: [ 103 / 105 ] simplifiying candidate # 16.853 * * * * [progress]: [ 104 / 105 ] simplifiying candidate # 16.853 * * * * [progress]: [ 105 / 105 ] simplifiying candidate # 16.855 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma (sqrt 1) (sqrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma (sqrt 1) (sqrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma 1 1 (- (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma 1 1 (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (fma 1 1 (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) 1)) (expm1 (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (log1p (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (/ (exp 1) (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2))) (/ (exp 1) (exp (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (pow 1 3) (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3)) (+ (* 1 1) (+ (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (* 1 (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (* 1 1) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1 (/ 1/2 (hypot 1 x))) (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (real->posit16 (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2))) (expm1 (sqrt (/ 1/2 (hypot 1 x)))) (log1p (sqrt (/ 1/2 (hypot 1 x)))) (log (sqrt (/ 1/2 (hypot 1 x)))) (exp (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))) (sqrt (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (sqrt (/ (cbrt 1/2) (hypot 1 x))) (sqrt (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) 1)) (sqrt (/ (sqrt 1/2) (hypot 1 x))) (sqrt (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ 1/2 (cbrt (hypot 1 x)))) (sqrt (/ 1 (sqrt (hypot 1 x)))) (sqrt (/ 1/2 (sqrt (hypot 1 x)))) (sqrt (/ 1 1)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1) (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2) 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(sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (- 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (real->posit16 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))) (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (- (+ (* (sqrt 2) (sqrt 1/2)) (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))) (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))) (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))) (- (+ (* (sqrt 2) (sqrt 1/2)) (+ 1 (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))) (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3)))))) (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3)))))) 16.859 * * [simplify]: iteration 0: 217 enodes 16.969 * * [simplify]: iteration 1: 501 enodes 17.330 * * [simplify]: iteration 2: 1466 enodes 18.706 * * [simplify]: iteration 3: 4419 enodes 19.597 * * [simplify]: iteration complete: 5000 enodes 19.597 * * [simplify]: Extracting #0: cost 83 inf + 0 19.600 * * [simplify]: Extracting #1: cost 413 inf + 43 19.610 * * [simplify]: Extracting #2: cost 950 inf + 5166 19.640 * * [simplify]: Extracting #3: cost 631 inf + 70472 19.723 * * [simplify]: Extracting #4: cost 164 inf + 185925 19.790 * * [simplify]: Extracting #5: cost 26 inf + 228763 19.878 * * [simplify]: Extracting #6: cost 0 inf + 236893 19.967 * [simplify]: Simplified to: (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) -1 (+ (/ 1/2 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x)) x) (+ 1/2 (/ 1/2 x))) (* (sqrt 1/2) (+ (fma 5/32 (* (* x x) (* x x)) 1) (* -1/4 (* x x)))) (- (fma (/ +nan.0 x) (sqrt 1/2) (* (/ (sqrt 1/2) (* x x)) (- +nan.0 (/ +nan.0 x))))) (- (fma (/ +nan.0 x) (sqrt 1/2) (* (/ (sqrt 1/2) (* x x)) (- +nan.0 (/ +nan.0 x))))) (fma (* (/ (* (* x x) (* x x)) (sqrt 2)) (sqrt 1/2)) 3/16 (- (* (sqrt 1/2) (sqrt 2)) (fma 1/64 (* (/ (* (* x x) (* x x)) (sqrt 2)) (sqrt 1/2)) (/ (* (* x x) (sqrt 1/2)) (/ (sqrt 2) 1/4))))) (+ (* (/ (sqrt 1/2) (* x x)) (- +nan.0 (/ +nan.0 x))) (sqrt 1/2)) (+ (* (/ (sqrt 1/2) (* x x)) (- +nan.0 (/ +nan.0 x))) (sqrt 1/2)) (fma (sqrt 2) (sqrt 1/2) (- (fma (* (/ (* (* x x) (* x x)) (sqrt 2)) (sqrt 1/2)) 3/16 1) (fma 1/64 (* (/ (* (* x x) (* x x)) (sqrt 2)) (sqrt 1/2)) (/ (* (* x x) (sqrt 1/2)) (/ (sqrt 2) 1/4))))) (+ (sqrt 1/2) (- 1 (* (/ (sqrt 1/2) (* x x)) (- +nan.0 (/ +nan.0 x))))) (+ (sqrt 1/2) (- 1 (* (/ (sqrt 1/2) (* x x)) (- +nan.0 (/ +nan.0 x))))) 19.976 * * * [progress]: adding candidates to table 20.560 * [progress]: [Phase 3 of 3] Extracting. 20.560 * * [regime]: Finding splitpoints for: (# # #) 20.561 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 20.561 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 20.622 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 20.651 * * * * [regimes]: Trying to branch on x from (# # #) 20.707 * * * [regime]: Found split indices: #