0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.083 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.083 * * [simplify]: iteration 1: (9 enodes) 0.089 * * [simplify]: iteration 2: (39 enodes) 0.118 * * [simplify]: iteration 3: (49 enodes) 0.125 * * [simplify]: iteration 4: (51 enodes) 0.132 * * [simplify]: Extracting #0: cost 1 inf + 0 0.132 * * [simplify]: Extracting #1: cost 5 inf + 0 0.132 * * [simplify]: Extracting #2: cost 7 inf + 1 0.132 * * [simplify]: Extracting #3: cost 12 inf + 1 0.132 * * [simplify]: Extracting #4: cost 15 inf + 2 0.132 * * [simplify]: Extracting #5: cost 17 inf + 2 0.133 * * [simplify]: Extracting #6: cost 15 inf + 60 0.133 * * [simplify]: Extracting #7: cost 6 inf + 1143 0.133 * * [simplify]: Extracting #8: cost 0 inf + 2360 0.134 * * [simplify]: Extracting #9: cost 0 inf + 2285 0.134 * [simplify]: Simplified to: (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.143 * * [progress]: iteration 1 / 4 0.143 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.216 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.224 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 2) 0.226 * * * [progress]: generating series expansions 0.226 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.227 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.227 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.227 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of 1/2 in x 0.227 * [backup-simplify]: Simplify 1/2 into 1/2 0.227 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.227 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.227 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.227 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (* x x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (* 0 0) into 0 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (sqrt 1) into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of 1/2 in x 0.232 * [backup-simplify]: Simplify 1/2 into 1/2 0.233 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.233 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.234 * [backup-simplify]: Simplify (sqrt 1) into 1 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.236 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of 1/2 in x 0.236 * [backup-simplify]: Simplify 1/2 into 1/2 0.236 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.237 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.237 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.237 * [taylor]: Taking taylor expansion of 1 in x 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of 1 in x 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (* x x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (* 0 0) into 0 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of 1/2 in x 0.241 * [backup-simplify]: Simplify 1/2 into 1/2 0.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.242 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.242 * [backup-simplify]: Simplify (sqrt 1) into 1 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.245 * [backup-simplify]: Simplify (- 1) into -1 0.246 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [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 0.252 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.252 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.253 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.253 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.254 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.254 * [backup-simplify]: Simplify 1/8 into 1/8 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.270 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.270 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.272 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.273 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.273 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.273 * [backup-simplify]: Simplify -11/128 into -11/128 0.275 * [backup-simplify]: Simplify (+ (* 1 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 1) (* 0 0)))))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.295 * [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 0.297 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.298 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.300 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.301 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.301 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.301 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.302 * [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))) 0.302 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.302 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.302 * [taylor]: Taking taylor expansion of 1 in x 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.302 * [taylor]: Taking taylor expansion of 1/2 in x 0.302 * [backup-simplify]: Simplify 1/2 into 1/2 0.302 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.302 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.302 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.302 * [taylor]: Taking taylor expansion of 1 in x 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of 1 in x 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (+ 0 1) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of 1/2 in x 0.309 * [backup-simplify]: Simplify 1/2 into 1/2 0.309 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.310 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.310 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.311 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.312 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.312 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.313 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.313 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.313 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.313 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ 0 1) into 1 0.315 * [backup-simplify]: Simplify (sqrt 1) into 1 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [backup-simplify]: Simplify 1/2 into 1/2 0.320 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.321 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.321 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.322 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.323 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.324 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.326 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.327 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.328 * [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)))) 0.334 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.344 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.348 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.359 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.363 * [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))) 0.363 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.363 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.363 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [backup-simplify]: Simplify 1/2 into 1/2 0.363 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.363 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.363 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.363 * [backup-simplify]: Simplify -1 into -1 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ -1 1) into -1 0.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [backup-simplify]: Simplify -1 into -1 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ -1 1) into -1 0.364 * [backup-simplify]: Simplify (* -1 -1) into 1 0.365 * [backup-simplify]: Simplify (+ 0 1) into 1 0.365 * [backup-simplify]: Simplify (sqrt 1) into 1 0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of 1/2 in x 0.367 * [backup-simplify]: Simplify 1/2 into 1/2 0.367 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.368 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.368 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.368 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.369 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.369 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.369 * [taylor]: Taking taylor expansion of 1 in x 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.369 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.369 * [taylor]: Taking taylor expansion of 1/2 in x 0.369 * [backup-simplify]: Simplify 1/2 into 1/2 0.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.369 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.369 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.370 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of 1 in x 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [backup-simplify]: Simplify -1 into -1 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ -1 1) into -1 0.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [backup-simplify]: Simplify -1 into -1 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ -1 1) into -1 0.371 * [backup-simplify]: Simplify (* -1 -1) into 1 0.371 * [backup-simplify]: Simplify (+ 0 1) into 1 0.371 * [backup-simplify]: Simplify (sqrt 1) into 1 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [taylor]: Taking taylor expansion of 1/2 in x 0.374 * [backup-simplify]: Simplify 1/2 into 1/2 0.374 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.374 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.374 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.375 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.376 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.376 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.377 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.378 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.379 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.381 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.382 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.388 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.390 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.391 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.395 * [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)) 0.395 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.395 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.395 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of 1/2 in x 0.395 * [backup-simplify]: Simplify 1/2 into 1/2 0.395 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.395 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.395 * [taylor]: Taking taylor expansion of 1 in x 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of 1 in x 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of (* x x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (* 0 0) into 0 0.396 * [backup-simplify]: Simplify (+ 1 0) into 1 0.396 * [backup-simplify]: Simplify (sqrt 1) into 1 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.398 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.398 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of 1/2 in x 0.398 * [backup-simplify]: Simplify 1/2 into 1/2 0.398 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.398 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.398 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [taylor]: Taking taylor expansion of (* x x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (* 0 0) into 0 0.399 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.402 * [backup-simplify]: Simplify 1/2 into 1/2 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.404 * [backup-simplify]: Simplify (+ 0 1) into 1 0.405 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.407 * [backup-simplify]: Simplify -1/4 into -1/4 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.417 * [backup-simplify]: Simplify 3/16 into 3/16 0.418 * [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))) 0.418 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.418 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.418 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.418 * [taylor]: Taking taylor expansion of 1/2 in x 0.418 * [backup-simplify]: Simplify 1/2 into 1/2 0.418 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.418 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.418 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.418 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.418 * [taylor]: Taking taylor expansion of 1 in x 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of 1 in x 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [backup-simplify]: Simplify (sqrt 1) into 1 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.424 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of 1/2 in x 0.424 * [backup-simplify]: Simplify 1/2 into 1/2 0.424 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.424 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of 1 in x 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (+ 0 1) into 1 0.426 * [backup-simplify]: Simplify (sqrt 1) into 1 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.429 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.429 * [backup-simplify]: Simplify 1/2 into 1/2 0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.433 * [backup-simplify]: Simplify -1/4 into -1/4 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.442 * [backup-simplify]: Simplify 3/16 into 3/16 0.442 * [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)))) 0.442 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.442 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.442 * [taylor]: Taking taylor expansion of 1/2 in x 0.442 * [backup-simplify]: Simplify 1/2 into 1/2 0.443 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.443 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.443 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.443 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.443 * [taylor]: Taking taylor expansion of 1 in x 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [taylor]: Taking taylor expansion of 1 in x 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.443 * [taylor]: Taking taylor expansion of -1 in x 0.443 * [backup-simplify]: Simplify -1 into -1 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ -1 1) into -1 0.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.443 * [taylor]: Taking taylor expansion of -1 in x 0.443 * [backup-simplify]: Simplify -1 into -1 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ -1 1) into -1 0.444 * [backup-simplify]: Simplify (* -1 -1) into 1 0.444 * [backup-simplify]: Simplify (+ 0 1) into 1 0.444 * [backup-simplify]: Simplify (sqrt 1) into 1 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.447 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.447 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1/2 in x 0.447 * [backup-simplify]: Simplify 1/2 into 1/2 0.447 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.447 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ -1 1) into -1 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [backup-simplify]: Simplify (* -1 -1) into 1 0.448 * [backup-simplify]: Simplify (+ 0 1) into 1 0.448 * [backup-simplify]: Simplify (sqrt 1) into 1 0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.459 * [backup-simplify]: Simplify -1/4 into -1/4 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.468 * [backup-simplify]: Simplify 3/16 into 3/16 0.469 * [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)))) 0.469 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2) 0.469 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.469 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.469 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.469 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.469 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.469 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of (* x x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (* 0 0) into 0 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [backup-simplify]: Simplify (sqrt 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.473 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.473 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.473 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.473 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.473 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of (* x x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 0 0) into 0 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.477 * [backup-simplify]: Simplify (+ 0 1) into 1 0.477 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.477 * [backup-simplify]: Simplify 1/2 into 1/2 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.482 * [backup-simplify]: Simplify -1/8 into -1/8 0.482 * [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))) 0.482 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.482 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.483 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (+ 0 1) into 1 0.484 * [backup-simplify]: Simplify (sqrt 1) into 1 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.486 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.486 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.486 * [taylor]: Taking taylor expansion of 1 in x 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of 1 in x 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (+ 0 1) into 1 0.488 * [backup-simplify]: Simplify (sqrt 1) into 1 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.493 * [backup-simplify]: Simplify 1/2 into 1/2 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.499 * [backup-simplify]: Simplify -1/8 into -1/8 0.499 * [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)))) 0.500 * [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 -1 in x 0.500 * [backup-simplify]: Simplify -1 into -1 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 0.500 * [backup-simplify]: Simplify (/ -1 1) into -1 0.500 * [taylor]: Taking taylor expansion of (/ -1 x) 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 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 * [backup-simplify]: Simplify (* -1 -1) into 1 0.501 * [backup-simplify]: Simplify (+ 0 1) into 1 0.501 * [backup-simplify]: Simplify (sqrt 1) into 1 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.503 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.504 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.504 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.504 * [taylor]: Taking taylor expansion of 1 in x 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of 1 in x 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [backup-simplify]: Simplify -1 into -1 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ -1 1) into -1 0.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.504 * [backup-simplify]: Simplify -1 into -1 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ -1 1) into -1 0.505 * [backup-simplify]: Simplify (* -1 -1) into 1 0.505 * [backup-simplify]: Simplify (+ 0 1) into 1 0.505 * [backup-simplify]: Simplify (sqrt 1) into 1 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.512 * [backup-simplify]: Simplify 1/2 into 1/2 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.517 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.525 * [backup-simplify]: Simplify -1/8 into -1/8 0.525 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 0.525 * * * [progress]: simplifying candidates 0.525 * * * * [progress]: [ 1 / 96 ] simplifiying candidate # 0.525 * * * * [progress]: [ 2 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 3 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 4 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 5 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 6 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 7 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 8 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 9 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 10 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 11 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 12 / 96 ] simplifiying candidate # 0.526 * * * * [progress]: [ 13 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 14 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 15 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 16 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 17 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 18 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 19 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 20 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 21 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 22 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 23 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 24 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 25 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 26 / 96 ] simplifiying candidate # 0.527 * * * * [progress]: [ 27 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 28 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 29 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 30 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 31 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 32 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 33 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 34 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 35 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 36 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 37 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 38 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 39 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 40 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 41 / 96 ] simplifiying candidate # 0.528 * * * * [progress]: [ 42 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 43 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 44 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 45 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 46 / 96 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.529 * * * * [progress]: [ 47 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 48 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 49 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 50 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 51 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 52 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 53 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 54 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 55 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 56 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 57 / 96 ] simplifiying candidate # 0.529 * * * * [progress]: [ 58 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 59 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 60 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 61 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 62 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 63 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 64 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 65 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 66 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 67 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 68 / 96 ] simplifiying candidate # 0.530 * * * * [progress]: [ 69 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 70 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 71 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 72 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 73 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 74 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 75 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 76 / 96 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 0.531 * * * * [progress]: [ 77 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 78 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 79 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 80 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 81 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 82 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 83 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 84 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 85 / 96 ] simplifiying candidate # 0.531 * * * * [progress]: [ 86 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 87 / 96 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))) 1/2))))> 0.532 * * * * [progress]: [ 88 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 89 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 90 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 91 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 92 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 93 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 94 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 95 / 96 ] simplifiying candidate # 0.532 * * * * [progress]: [ 96 / 96 ] simplifiying candidate # 0.535 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ 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1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 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(* 1/2 (/ 1 x)))) 0.539 * * [simplify]: iteration 1: (189 enodes) 0.689 * * [simplify]: iteration 2: (747 enodes) 0.877 * * [simplify]: iteration 3: (1359 enodes) 1.289 * * [simplify]: Extracting #0: cost 73 inf + 0 1.290 * * [simplify]: Extracting #1: cost 331 inf + 44 1.296 * * [simplify]: Extracting #2: cost 530 inf + 7671 1.313 * * [simplify]: Extracting #3: cost 374 inf + 40552 1.337 * * [simplify]: Extracting #4: cost 126 inf + 103812 1.374 * * [simplify]: Extracting #5: cost 26 inf + 135412 1.429 * * [simplify]: Extracting #6: cost 2 inf + 142801 1.467 * * [simplify]: Extracting #7: cost 0 inf + 143332 1.510 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 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-1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 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(hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (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 -11/128 (* (* x x) (* x x)) (fma 1/8 (* x x) (* (* x (* x x)) (* (* x (* x x)) 69/1024)))) (+ (- (- 1 (sqrt 1/2)) (/ 1/4 (* (sqrt 1/2) x))) (/ 1/16 (* x (* (sqrt 1/2) x)))) (- (+ (/ 1/16 (* x (* (sqrt 1/2) x))) (+ 1 (/ 1/4 (* (sqrt 1/2) x)))) (sqrt 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))) (fma (* (* x x) (* x x)) -1/8 (fma 1/2 (* x x) 1)) (+ (/ 1/2 x) (+ (/ -1/8 (* x (* x x))) x)) (+ (- (/ (/ 1/8 (* x x)) x) x) (/ -1/2 x)) 1.523 * * * [progress]: adding candidates to table 2.470 * * [progress]: iteration 2 / 4 2.470 * * * [progress]: picking best candidate 2.485 * * * * [pick]: Picked # 2.485 * * * [progress]: localizing error 2.507 * * * [progress]: generating rewritten candidates 2.507 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.518 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 2.524 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.531 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.552 * * * [progress]: generating series expansions 2.552 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.552 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.553 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 2.553 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 2.553 * [taylor]: Taking taylor expansion of 1/2 in x 2.553 * [backup-simplify]: Simplify 1/2 into 1/2 2.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.553 * [taylor]: Taking taylor expansion of 1/2 in x 2.553 * [backup-simplify]: Simplify 1/2 into 1/2 2.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.553 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.553 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.553 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.553 * [taylor]: Taking taylor expansion of 1 in x 2.553 * [backup-simplify]: Simplify 1 into 1 2.553 * [taylor]: Taking taylor expansion of 1 in x 2.553 * [backup-simplify]: Simplify 1 into 1 2.553 * [taylor]: Taking taylor expansion of (* x x) in x 2.553 * [taylor]: Taking taylor expansion of x in x 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.553 * [taylor]: Taking taylor expansion of x in x 2.553 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (* 1 1) into 1 2.554 * [backup-simplify]: Simplify (* 0 0) into 0 2.554 * [backup-simplify]: Simplify (+ 1 0) into 1 2.555 * [backup-simplify]: Simplify (sqrt 1) into 1 2.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.555 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.556 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.556 * [backup-simplify]: Simplify (/ 1 1) into 1 2.556 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 2.556 * [taylor]: Taking taylor expansion of 1/2 in x 2.556 * [backup-simplify]: Simplify 1/2 into 1/2 2.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.557 * [taylor]: Taking taylor expansion of 1/2 in x 2.557 * [backup-simplify]: Simplify 1/2 into 1/2 2.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.557 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.557 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.557 * [taylor]: Taking taylor expansion of 1 in x 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [taylor]: Taking taylor expansion of 1 in x 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [taylor]: Taking taylor expansion of (* x x) in x 2.557 * [taylor]: Taking taylor expansion of x in x 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [taylor]: Taking taylor expansion of x in x 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (* 1 1) into 1 2.557 * [backup-simplify]: Simplify (* 0 0) into 0 2.558 * [backup-simplify]: Simplify (+ 1 0) into 1 2.558 * [backup-simplify]: Simplify (sqrt 1) into 1 2.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.559 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.559 * [backup-simplify]: Simplify (+ 0 0) into 0 2.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.560 * [backup-simplify]: Simplify (/ 1 1) into 1 2.560 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.560 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.561 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.562 * [backup-simplify]: Simplify (- 0) into 0 2.562 * [backup-simplify]: Simplify (+ 0 0) into 0 2.562 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.563 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.564 * [backup-simplify]: Simplify (+ 0 1) into 1 2.564 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 2.567 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 2.567 * [backup-simplify]: Simplify (- -1/4) into 1/4 2.568 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.568 * [backup-simplify]: Simplify 1/4 into 1/4 2.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.571 * [backup-simplify]: Simplify (+ 0 0) into 0 2.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 2.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 2.576 * [backup-simplify]: Simplify (- 0) into 0 2.576 * [backup-simplify]: Simplify (+ 0 0) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 2.584 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 2.584 * [backup-simplify]: Simplify (- 3/16) into -3/16 2.585 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 2.585 * [backup-simplify]: Simplify -3/16 into -3/16 2.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.588 * [backup-simplify]: Simplify (+ 0 0) into 0 2.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 2.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 2.595 * [backup-simplify]: Simplify (- 0) into 0 2.595 * [backup-simplify]: Simplify (+ 0 0) into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.599 * [backup-simplify]: Simplify (+ 0 0) into 0 2.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 2.603 * [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 2.605 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 2.606 * [backup-simplify]: Simplify (- -5/32) into 5/32 2.606 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 2.606 * [backup-simplify]: Simplify 5/32 into 5/32 2.607 * [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))) 2.607 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.607 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 2.607 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 2.607 * [taylor]: Taking taylor expansion of 1/2 in x 2.607 * [backup-simplify]: Simplify 1/2 into 1/2 2.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.607 * [taylor]: Taking taylor expansion of 1/2 in x 2.607 * [backup-simplify]: Simplify 1/2 into 1/2 2.607 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.607 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.607 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.607 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.607 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.607 * [taylor]: Taking taylor expansion of 1 in x 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [taylor]: Taking taylor expansion of 1 in x 2.607 * [backup-simplify]: Simplify 1 into 1 2.608 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (/ 1 1) into 1 2.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ 1 1) into 1 2.609 * [backup-simplify]: Simplify (* 1 1) into 1 2.609 * [backup-simplify]: Simplify (+ 0 1) into 1 2.610 * [backup-simplify]: Simplify (sqrt 1) into 1 2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.619 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.620 * [backup-simplify]: Simplify (/ 1 1) into 1 2.620 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 2.620 * [taylor]: Taking taylor expansion of 1/2 in x 2.620 * [backup-simplify]: Simplify 1/2 into 1/2 2.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.620 * [taylor]: Taking taylor expansion of 1/2 in x 2.620 * [backup-simplify]: Simplify 1/2 into 1/2 2.620 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.620 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.620 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.620 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.620 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.620 * [taylor]: Taking taylor expansion of 1 in x 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [taylor]: Taking taylor expansion of 1 in x 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (/ 1 1) into 1 2.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.621 * [taylor]: Taking taylor expansion of x in x 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (/ 1 1) into 1 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (+ 0 1) into 1 2.623 * [backup-simplify]: Simplify (sqrt 1) into 1 2.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.625 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.626 * [backup-simplify]: Simplify (/ 1 1) into 1 2.627 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.627 * [backup-simplify]: Simplify 1/2 into 1/2 2.627 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.628 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.628 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.628 * [backup-simplify]: Simplify -1/2 into -1/2 2.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.630 * [backup-simplify]: Simplify (- 0) into 0 2.630 * [backup-simplify]: Simplify (+ 0 0) into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (* 1 1) into 1 2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.634 * [backup-simplify]: Simplify (+ 1 0) into 1 2.635 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 2.637 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 2.638 * [backup-simplify]: Simplify (- -1/4) into 1/4 2.638 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.638 * [backup-simplify]: Simplify 1/4 into 1/4 2.638 * [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))) 2.639 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.639 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 2.639 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 2.639 * [taylor]: Taking taylor expansion of 1/2 in x 2.639 * [backup-simplify]: Simplify 1/2 into 1/2 2.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.639 * [taylor]: Taking taylor expansion of 1/2 in x 2.639 * [backup-simplify]: Simplify 1/2 into 1/2 2.639 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.639 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.639 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.639 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.639 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.639 * [taylor]: Taking taylor expansion of 1 in x 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [taylor]: Taking taylor expansion of 1 in x 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.639 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.639 * [taylor]: Taking taylor expansion of -1 in x 2.639 * [backup-simplify]: Simplify -1 into -1 2.639 * [taylor]: Taking taylor expansion of x in x 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 1 into 1 2.640 * [backup-simplify]: Simplify (/ -1 1) into -1 2.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.640 * [taylor]: Taking taylor expansion of -1 in x 2.640 * [backup-simplify]: Simplify -1 into -1 2.640 * [taylor]: Taking taylor expansion of x in x 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 1 into 1 2.640 * [backup-simplify]: Simplify (/ -1 1) into -1 2.641 * [backup-simplify]: Simplify (* -1 -1) into 1 2.641 * [backup-simplify]: Simplify (+ 0 1) into 1 2.642 * [backup-simplify]: Simplify (sqrt 1) into 1 2.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.644 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.645 * [backup-simplify]: Simplify (/ 1 1) into 1 2.645 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 2.646 * [taylor]: Taking taylor expansion of 1/2 in x 2.646 * [backup-simplify]: Simplify 1/2 into 1/2 2.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.646 * [taylor]: Taking taylor expansion of 1/2 in x 2.646 * [backup-simplify]: Simplify 1/2 into 1/2 2.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.646 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.646 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.646 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.646 * [taylor]: Taking taylor expansion of 1 in x 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [taylor]: Taking taylor expansion of 1 in x 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.646 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.646 * [taylor]: Taking taylor expansion of -1 in x 2.646 * [backup-simplify]: Simplify -1 into -1 2.646 * [taylor]: Taking taylor expansion of x in x 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (/ -1 1) into -1 2.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.647 * [taylor]: Taking taylor expansion of -1 in x 2.647 * [backup-simplify]: Simplify -1 into -1 2.647 * [taylor]: Taking taylor expansion of x in x 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (/ -1 1) into -1 2.647 * [backup-simplify]: Simplify (* -1 -1) into 1 2.648 * [backup-simplify]: Simplify (+ 0 1) into 1 2.648 * [backup-simplify]: Simplify (sqrt 1) into 1 2.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.651 * [backup-simplify]: Simplify (+ 0 0) into 0 2.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.652 * [backup-simplify]: Simplify (/ 1 1) into 1 2.652 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.652 * [backup-simplify]: Simplify 1/2 into 1/2 2.653 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.653 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.653 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.653 * [backup-simplify]: Simplify -1/2 into -1/2 2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.655 * [backup-simplify]: Simplify (- 0) into 0 2.656 * [backup-simplify]: Simplify (+ 0 0) into 0 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (* 1 1) into 1 2.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.660 * [backup-simplify]: Simplify (+ 1 0) into 1 2.660 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 2.662 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 2.662 * [backup-simplify]: Simplify (- -1/4) into 1/4 2.662 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.662 * [backup-simplify]: Simplify 1/4 into 1/4 2.662 * [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)))) 2.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 2.662 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.662 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 2.662 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.662 * [taylor]: Taking taylor expansion of 1/2 in x 2.662 * [backup-simplify]: Simplify 1/2 into 1/2 2.662 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.663 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.663 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.663 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.663 * [taylor]: Taking taylor expansion of 1 in x 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [taylor]: Taking taylor expansion of 1 in x 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [taylor]: Taking taylor expansion of (* x x) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (* 0 0) into 0 2.663 * [backup-simplify]: Simplify (+ 1 0) into 1 2.664 * [backup-simplify]: Simplify (sqrt 1) into 1 2.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.665 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.665 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.666 * [taylor]: Taking taylor expansion of 1/2 in x 2.666 * [backup-simplify]: Simplify 1/2 into 1/2 2.666 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.666 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.666 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.666 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.666 * [taylor]: Taking taylor expansion of 1 in x 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [taylor]: Taking taylor expansion of 1 in x 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [taylor]: Taking taylor expansion of (* x x) in x 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (* 1 1) into 1 2.666 * [backup-simplify]: Simplify (* 0 0) into 0 2.667 * [backup-simplify]: Simplify (+ 1 0) into 1 2.667 * [backup-simplify]: Simplify (sqrt 1) into 1 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.668 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.668 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.669 * [backup-simplify]: Simplify 1/2 into 1/2 2.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.670 * [backup-simplify]: Simplify (+ 0 1) into 1 2.671 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.672 * [backup-simplify]: Simplify -1/4 into -1/4 2.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.673 * [backup-simplify]: Simplify (+ 0 0) into 0 2.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.676 * [backup-simplify]: Simplify (+ 0 0) into 0 2.677 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.678 * [backup-simplify]: Simplify 3/16 into 3/16 2.678 * [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))) 2.678 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.678 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 2.679 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.679 * [taylor]: Taking taylor expansion of 1/2 in x 2.679 * [backup-simplify]: Simplify 1/2 into 1/2 2.679 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.679 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.679 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.679 * [taylor]: Taking taylor expansion of 1 in x 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [taylor]: Taking taylor expansion of 1 in x 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (/ 1 1) into 1 2.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (/ 1 1) into 1 2.680 * [backup-simplify]: Simplify (* 1 1) into 1 2.680 * [backup-simplify]: Simplify (+ 0 1) into 1 2.680 * [backup-simplify]: Simplify (sqrt 1) into 1 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.682 * [backup-simplify]: Simplify (+ 0 0) into 0 2.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.683 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.683 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.683 * [taylor]: Taking taylor expansion of 1/2 in x 2.683 * [backup-simplify]: Simplify 1/2 into 1/2 2.683 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.683 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.683 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.683 * [taylor]: Taking taylor expansion of 1 in x 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [taylor]: Taking taylor expansion of 1 in x 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.683 * [taylor]: Taking taylor expansion of x in x 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (/ 1 1) into 1 2.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.683 * [taylor]: Taking taylor expansion of x in x 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (/ 1 1) into 1 2.684 * [backup-simplify]: Simplify (* 1 1) into 1 2.684 * [backup-simplify]: Simplify (+ 0 1) into 1 2.684 * [backup-simplify]: Simplify (sqrt 1) into 1 2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.686 * [backup-simplify]: Simplify (+ 0 0) into 0 2.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.686 * [backup-simplify]: Simplify 1/2 into 1/2 2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (* 1 1) into 1 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.689 * [backup-simplify]: Simplify (+ 1 0) into 1 2.690 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.690 * [backup-simplify]: Simplify -1/4 into -1/4 2.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.693 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.699 * [backup-simplify]: Simplify 3/16 into 3/16 2.699 * [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)))) 2.699 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.699 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 2.699 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.699 * [taylor]: Taking taylor expansion of 1/2 in x 2.699 * [backup-simplify]: Simplify 1/2 into 1/2 2.699 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.699 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.699 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.699 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.699 * [taylor]: Taking taylor expansion of 1 in x 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [taylor]: Taking taylor expansion of 1 in x 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.699 * [taylor]: Taking taylor expansion of -1 in x 2.699 * [backup-simplify]: Simplify -1 into -1 2.699 * [taylor]: Taking taylor expansion of x in x 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (/ -1 1) into -1 2.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.700 * [taylor]: Taking taylor expansion of -1 in x 2.700 * [backup-simplify]: Simplify -1 into -1 2.700 * [taylor]: Taking taylor expansion of x in x 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (/ -1 1) into -1 2.700 * [backup-simplify]: Simplify (* -1 -1) into 1 2.701 * [backup-simplify]: Simplify (+ 0 1) into 1 2.701 * [backup-simplify]: Simplify (sqrt 1) into 1 2.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.704 * [backup-simplify]: Simplify (+ 0 0) into 0 2.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.705 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.705 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.705 * [taylor]: Taking taylor expansion of 1/2 in x 2.705 * [backup-simplify]: Simplify 1/2 into 1/2 2.705 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.705 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.706 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.706 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.706 * [taylor]: Taking taylor expansion of 1 in x 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [taylor]: Taking taylor expansion of 1 in x 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.706 * [taylor]: Taking taylor expansion of -1 in x 2.706 * [backup-simplify]: Simplify -1 into -1 2.706 * [taylor]: Taking taylor expansion of x in x 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (/ -1 1) into -1 2.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.706 * [taylor]: Taking taylor expansion of -1 in x 2.706 * [backup-simplify]: Simplify -1 into -1 2.706 * [taylor]: Taking taylor expansion of x in x 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (/ -1 1) into -1 2.707 * [backup-simplify]: Simplify (* -1 -1) into 1 2.708 * [backup-simplify]: Simplify (+ 0 1) into 1 2.708 * [backup-simplify]: Simplify (sqrt 1) into 1 2.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.711 * [backup-simplify]: Simplify (+ 0 0) into 0 2.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.712 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.712 * [backup-simplify]: Simplify 1/2 into 1/2 2.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (* 1 1) into 1 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.717 * [backup-simplify]: Simplify (+ 1 0) into 1 2.718 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.719 * [backup-simplify]: Simplify -1/4 into -1/4 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.737 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.740 * [backup-simplify]: Simplify 3/16 into 3/16 2.740 * [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)))) 2.741 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.741 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.741 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 2.741 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.741 * [taylor]: Taking taylor expansion of 1/2 in x 2.741 * [backup-simplify]: Simplify 1/2 into 1/2 2.741 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.741 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.741 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.741 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.741 * [taylor]: Taking taylor expansion of 1 in x 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of 1 in x 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of (* x x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (* 1 1) into 1 2.742 * [backup-simplify]: Simplify (* 0 0) into 0 2.742 * [backup-simplify]: Simplify (+ 1 0) into 1 2.743 * [backup-simplify]: Simplify (sqrt 1) into 1 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.744 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.746 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.746 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.746 * [taylor]: Taking taylor expansion of 1/2 in x 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.746 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.746 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.746 * [taylor]: Taking taylor expansion of 1 in x 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [taylor]: Taking taylor expansion of 1 in x 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [taylor]: Taking taylor expansion of (* x x) in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (* 1 1) into 1 2.748 * [backup-simplify]: Simplify (* 0 0) into 0 2.748 * [backup-simplify]: Simplify (+ 1 0) into 1 2.748 * [backup-simplify]: Simplify (sqrt 1) into 1 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.750 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.752 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.752 * [backup-simplify]: Simplify 1/2 into 1/2 2.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.755 * [backup-simplify]: Simplify (+ 0 1) into 1 2.756 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.758 * [backup-simplify]: Simplify -1/4 into -1/4 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.770 * [backup-simplify]: Simplify 3/16 into 3/16 2.770 * [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))) 2.770 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.770 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 2.771 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.771 * [taylor]: Taking taylor expansion of 1/2 in x 2.771 * [backup-simplify]: Simplify 1/2 into 1/2 2.771 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.771 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.771 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.771 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.771 * [taylor]: Taking taylor expansion of 1 in x 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [taylor]: Taking taylor expansion of 1 in x 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.771 * [taylor]: Taking taylor expansion of x in x 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (/ 1 1) into 1 2.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.772 * [taylor]: Taking taylor expansion of x in x 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (/ 1 1) into 1 2.772 * [backup-simplify]: Simplify (* 1 1) into 1 2.773 * [backup-simplify]: Simplify (+ 0 1) into 1 2.774 * [backup-simplify]: Simplify (sqrt 1) into 1 2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.776 * [backup-simplify]: Simplify (+ 0 0) into 0 2.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.777 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.777 * [taylor]: Taking taylor expansion of 1/2 in x 2.777 * [backup-simplify]: Simplify 1/2 into 1/2 2.777 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.778 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.778 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.778 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.778 * [taylor]: Taking taylor expansion of 1 in x 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [taylor]: Taking taylor expansion of 1 in x 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (/ 1 1) into 1 2.779 * [backup-simplify]: Simplify (* 1 1) into 1 2.780 * [backup-simplify]: Simplify (+ 0 1) into 1 2.780 * [backup-simplify]: Simplify (sqrt 1) into 1 2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.783 * [backup-simplify]: Simplify (+ 0 0) into 0 2.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.784 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.784 * [backup-simplify]: Simplify 1/2 into 1/2 2.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (* 1 1) into 1 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.789 * [backup-simplify]: Simplify (+ 1 0) into 1 2.790 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.791 * [backup-simplify]: Simplify -1/4 into -1/4 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (+ 0 0) into 0 2.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.806 * [backup-simplify]: Simplify 3/16 into 3/16 2.806 * [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)))) 2.806 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.806 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 2.806 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.806 * [taylor]: Taking taylor expansion of 1/2 in x 2.806 * [backup-simplify]: Simplify 1/2 into 1/2 2.806 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.806 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.806 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.806 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.806 * [taylor]: Taking taylor expansion of 1 in x 2.806 * [backup-simplify]: Simplify 1 into 1 2.807 * [taylor]: Taking taylor expansion of 1 in x 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.807 * [taylor]: Taking taylor expansion of -1 in x 2.807 * [backup-simplify]: Simplify -1 into -1 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (/ -1 1) into -1 2.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.807 * [taylor]: Taking taylor expansion of -1 in x 2.807 * [backup-simplify]: Simplify -1 into -1 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (/ -1 1) into -1 2.808 * [backup-simplify]: Simplify (* -1 -1) into 1 2.809 * [backup-simplify]: Simplify (+ 0 1) into 1 2.809 * [backup-simplify]: Simplify (sqrt 1) into 1 2.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.813 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.813 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.813 * [taylor]: Taking taylor expansion of 1/2 in x 2.813 * [backup-simplify]: Simplify 1/2 into 1/2 2.813 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.813 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.813 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.813 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.813 * [taylor]: Taking taylor expansion of 1 in x 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [taylor]: Taking taylor expansion of 1 in x 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.813 * [taylor]: Taking taylor expansion of -1 in x 2.813 * [backup-simplify]: Simplify -1 into -1 2.813 * [taylor]: Taking taylor expansion of x in x 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [backup-simplify]: Simplify (/ -1 1) into -1 2.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.813 * [taylor]: Taking taylor expansion of -1 in x 2.814 * [backup-simplify]: Simplify -1 into -1 2.814 * [taylor]: Taking taylor expansion of x in x 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (/ -1 1) into -1 2.814 * [backup-simplify]: Simplify (* -1 -1) into 1 2.814 * [backup-simplify]: Simplify (+ 0 1) into 1 2.815 * [backup-simplify]: Simplify (sqrt 1) into 1 2.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.817 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.817 * [backup-simplify]: Simplify 1/2 into 1/2 2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (* 1 1) into 1 2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.820 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.820 * [backup-simplify]: Simplify (+ 1 0) into 1 2.821 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.821 * [backup-simplify]: Simplify -1/4 into -1/4 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.824 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.830 * [backup-simplify]: Simplify 3/16 into 3/16 2.831 * [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)))) 2.831 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.831 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 2.831 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 2.831 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 2.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 2.831 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 2.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.831 * [taylor]: Taking taylor expansion of 1/2 in x 2.831 * [backup-simplify]: Simplify 1/2 into 1/2 2.831 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.831 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.831 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.831 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.831 * [taylor]: Taking taylor expansion of 1 in x 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [taylor]: Taking taylor expansion of 1 in x 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [taylor]: Taking taylor expansion of (* x x) in x 2.831 * [taylor]: Taking taylor expansion of x in x 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [taylor]: Taking taylor expansion of x in x 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (* 1 1) into 1 2.832 * [backup-simplify]: Simplify (* 0 0) into 0 2.832 * [backup-simplify]: Simplify (+ 1 0) into 1 2.832 * [backup-simplify]: Simplify (sqrt 1) into 1 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.833 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [taylor]: Taking taylor expansion of 1/2 in x 2.834 * [backup-simplify]: Simplify 1/2 into 1/2 2.834 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.834 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.835 * [backup-simplify]: Simplify (sqrt 1) into 1 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.836 * [taylor]: Taking taylor expansion of 1 in x 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 2.836 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 2.836 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 2.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.836 * [taylor]: Taking taylor expansion of 1/2 in x 2.836 * [backup-simplify]: Simplify 1/2 into 1/2 2.836 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.836 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.836 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.836 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.836 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.836 * [taylor]: Taking taylor expansion of 1 in x 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of 1 in x 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of (* x x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (* 1 1) into 1 2.837 * [backup-simplify]: Simplify (* 0 0) into 0 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [backup-simplify]: Simplify (sqrt 1) into 1 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.838 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.838 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [taylor]: Taking taylor expansion of 1/2 in x 2.839 * [backup-simplify]: Simplify 1/2 into 1/2 2.839 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.840 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.840 * [backup-simplify]: Simplify (sqrt 1) into 1 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.842 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.843 * [taylor]: Taking taylor expansion of 1 in x 2.843 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (+ 1 1) into 2 2.843 * [backup-simplify]: Simplify 2 into 2 2.844 * [backup-simplify]: Simplify (+ 0 0) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.846 * [backup-simplify]: Simplify (+ 0 1) into 1 2.847 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 2.849 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 2.850 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 2.851 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 2.851 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 2.851 * [backup-simplify]: Simplify -1/8 into -1/8 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.854 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 2.860 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.863 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 2.874 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 2.875 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 2.876 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 2.877 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 2.877 * [backup-simplify]: Simplify 11/128 into 11/128 2.877 * [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))) 2.877 * [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) 2.877 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 2.878 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 2.878 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 2.878 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 2.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.878 * [taylor]: Taking taylor expansion of 1/2 in x 2.878 * [backup-simplify]: Simplify 1/2 into 1/2 2.878 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.878 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.878 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.878 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.878 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.878 * [taylor]: Taking taylor expansion of 1 in x 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [taylor]: Taking taylor expansion of 1 in x 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.878 * [taylor]: Taking taylor expansion of x in x 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.879 * [backup-simplify]: Simplify (* 1 1) into 1 2.880 * [backup-simplify]: Simplify (+ 0 1) into 1 2.880 * [backup-simplify]: Simplify (sqrt 1) into 1 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.884 * [backup-simplify]: Simplify (/ 1 1) into 1 2.884 * [taylor]: Taking taylor expansion of 1/2 in x 2.884 * [backup-simplify]: Simplify 1/2 into 1/2 2.885 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.885 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.886 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.886 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.887 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 2.888 * [taylor]: Taking taylor expansion of 1 in x 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 2.888 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 2.888 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 2.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.888 * [taylor]: Taking taylor expansion of 1/2 in x 2.888 * [backup-simplify]: Simplify 1/2 into 1/2 2.888 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.888 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.888 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.888 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.888 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.888 * [taylor]: Taking taylor expansion of 1 in x 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [taylor]: Taking taylor expansion of 1 in x 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (/ 1 1) into 1 2.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (/ 1 1) into 1 2.889 * [backup-simplify]: Simplify (* 1 1) into 1 2.890 * [backup-simplify]: Simplify (+ 0 1) into 1 2.890 * [backup-simplify]: Simplify (sqrt 1) into 1 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [taylor]: Taking taylor expansion of 1/2 in x 2.894 * [backup-simplify]: Simplify 1/2 into 1/2 2.895 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.895 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.895 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.896 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.897 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 2.898 * [taylor]: Taking taylor expansion of 1 in x 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 2.899 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 2.901 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 2.903 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 2.913 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 2.917 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 2.923 * [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))))) 2.923 * [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) 2.923 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 2.923 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 2.923 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 2.923 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 2.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.923 * [taylor]: Taking taylor expansion of 1/2 in x 2.923 * [backup-simplify]: Simplify 1/2 into 1/2 2.923 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.923 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.923 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.923 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.923 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.923 * [taylor]: Taking taylor expansion of 1 in x 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [taylor]: Taking taylor expansion of 1 in x 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.924 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.924 * [taylor]: Taking taylor expansion of -1 in x 2.924 * [backup-simplify]: Simplify -1 into -1 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (/ -1 1) into -1 2.924 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.924 * [taylor]: Taking taylor expansion of -1 in x 2.925 * [backup-simplify]: Simplify -1 into -1 2.925 * [taylor]: Taking taylor expansion of x in x 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (/ -1 1) into -1 2.925 * [backup-simplify]: Simplify (* -1 -1) into 1 2.926 * [backup-simplify]: Simplify (+ 0 1) into 1 2.926 * [backup-simplify]: Simplify (sqrt 1) into 1 2.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.930 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.931 * [backup-simplify]: Simplify (/ 1 1) into 1 2.931 * [taylor]: Taking taylor expansion of 1/2 in x 2.931 * [backup-simplify]: Simplify 1/2 into 1/2 2.931 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.932 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.932 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.933 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.934 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 2.934 * [taylor]: Taking taylor expansion of 1 in x 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 2.934 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 2.935 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 2.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.935 * [taylor]: Taking taylor expansion of 1/2 in x 2.935 * [backup-simplify]: Simplify 1/2 into 1/2 2.935 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.935 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.935 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.935 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.935 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.935 * [taylor]: Taking taylor expansion of 1 in x 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [taylor]: Taking taylor expansion of 1 in x 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.935 * [taylor]: Taking taylor expansion of -1 in x 2.935 * [backup-simplify]: Simplify -1 into -1 2.935 * [taylor]: Taking taylor expansion of x in x 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (/ -1 1) into -1 2.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.936 * [taylor]: Taking taylor expansion of -1 in x 2.936 * [backup-simplify]: Simplify -1 into -1 2.936 * [taylor]: Taking taylor expansion of x in x 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (/ -1 1) into -1 2.937 * [backup-simplify]: Simplify (* -1 -1) into 1 2.937 * [backup-simplify]: Simplify (+ 0 1) into 1 2.938 * [backup-simplify]: Simplify (sqrt 1) into 1 2.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.942 * [taylor]: Taking taylor expansion of 1/2 in x 2.942 * [backup-simplify]: Simplify 1/2 into 1/2 2.942 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.943 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.943 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.944 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.945 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 2.945 * [taylor]: Taking taylor expansion of 1 in x 2.945 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 2.947 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 2.949 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 2.951 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 2.961 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 2.965 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 2.972 * [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)))))) 2.972 * * * [progress]: simplifying candidates 2.972 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 2.972 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 2.972 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 2.972 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 2.972 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 2.972 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 2.972 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 2.973 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 2.974 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 2.975 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 2.976 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 60 / 152 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 2.977 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 2.977 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 2.978 * * * * [progress]: [ 79 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 90 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))))> 2.979 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 2.979 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 2.980 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 110 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 120 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 2.981 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 2.981 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 2.982 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 139 / 152 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 2.983 * * * * [progress]: [ 140 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 2.983 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 2.984 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 2.987 * [simplify]: Simplifying: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma 1 1/2 (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma 1 1/2 (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma 1 1/2 (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 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1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 2.990 * * [simplify]: iteration 1: (248 enodes) 3.155 * * [simplify]: iteration 2: (1055 enodes) 3.455 * * [simplify]: Extracting #0: cost 99 inf + 0 3.457 * * [simplify]: Extracting #1: cost 429 inf + 44 3.461 * * [simplify]: Extracting #2: cost 695 inf + 2826 3.470 * * [simplify]: Extracting #3: cost 633 inf + 18527 3.486 * * [simplify]: Extracting #4: cost 320 inf + 81021 3.516 * * [simplify]: Extracting #5: cost 69 inf + 147995 3.546 * * [simplify]: Extracting #6: cost 3 inf + 167781 3.600 * * [simplify]: Extracting #7: cost 0 inf + 168500 3.642 * [simplify]: Simplified to: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (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 (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 (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* 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(sqrt 1/2) (cbrt (hypot 1 x)))))) (+ (- (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))) (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))) (+ 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (+ 1/2 (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ -1/2 (cbrt (hypot 1 x))))) (fma (/ 1/2 (cbrt (hypot 1 x))) (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ 1/2 (* (/ -1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4) (/ -1/2 (hypot 1 x)) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (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 (/ 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 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log1p (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (exp (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log1p (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)))) (fma (sqrt (+ (/ 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)) (+ (+ -1/2 (/ -1/2 (hypot 1 x))) 1) (- 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))) (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma 1/4 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (* -3/16 (* (* x x) (* x x))))) (- (+ 1/2 (/ 1/4 (* (* x x) x))) (/ 1/2 x)) (+ (/ 1/2 x) (- 1/2 (/ 1/4 (* (* x x) x)))) (+ (fma (* (* x x) (* x x)) 3/16 1/2) (* (* x x) -1/4)) (+ (/ 1/2 x) (+ (/ 3/16 (pow x 5)) (/ -1/4 (* (* x x) x)))) (+ (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ -1/2 x)) (+ (fma (* (* x x) (* x x)) 3/16 1/2) (* (* x x) -1/4)) (+ (/ 1/2 x) (+ (/ 3/16 (pow x 5)) (/ -1/4 (* (* x x) x)))) (+ (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ -1/2 x)) (fma 11/128 (* (* x x) (* x x)) (- 2 (* 1/8 (* x x)))) (+ (+ (/ 1/4 (* x (sqrt 1/2))) (+ (sqrt 1/2) 1)) (/ -1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (- (- (+ (sqrt 1/2) 1) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) 3.657 * * * [progress]: adding candidates to table 5.107 * * [progress]: iteration 3 / 4 5.107 * * * [progress]: picking best candidate 5.113 * * * * [pick]: Picked # 5.113 * * * [progress]: localizing error 5.137 * * * [progress]: generating rewritten candidates 5.137 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 5.144 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1 1) 5.164 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 5.169 * * * [progress]: generating series expansions 5.170 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.170 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 x)))) into (/ 1/2 (hypot 1 x)) 5.170 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 5.170 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.170 * [taylor]: Taking taylor expansion of 1/2 in x 5.170 * [backup-simplify]: Simplify 1/2 into 1/2 5.170 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.170 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.170 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.170 * [taylor]: Taking taylor expansion of 1 in x 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [taylor]: Taking taylor expansion of 1 in x 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [taylor]: Taking taylor expansion of (* x x) in x 5.170 * [taylor]: Taking taylor expansion of x in x 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [taylor]: Taking taylor expansion of x in x 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (* 1 1) into 1 5.171 * [backup-simplify]: Simplify (* 0 0) into 0 5.171 * [backup-simplify]: Simplify (+ 1 0) into 1 5.171 * [backup-simplify]: Simplify (sqrt 1) into 1 5.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.177 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.178 * [backup-simplify]: Simplify (+ 0 0) into 0 5.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.179 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.179 * [taylor]: Taking taylor expansion of 1/2 in x 5.179 * [backup-simplify]: Simplify 1/2 into 1/2 5.179 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.179 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.179 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.179 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.179 * [taylor]: Taking taylor expansion of 1 in x 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [taylor]: Taking taylor expansion of 1 in x 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [taylor]: Taking taylor expansion of (* x x) in x 5.179 * [taylor]: Taking taylor expansion of x in x 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [taylor]: Taking taylor expansion of x in x 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [backup-simplify]: Simplify (* 1 1) into 1 5.180 * [backup-simplify]: Simplify (* 0 0) into 0 5.180 * [backup-simplify]: Simplify (+ 1 0) into 1 5.180 * [backup-simplify]: Simplify (sqrt 1) into 1 5.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.181 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.181 * [backup-simplify]: Simplify (+ 0 0) into 0 5.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.182 * [backup-simplify]: Simplify 1/2 into 1/2 5.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.184 * [backup-simplify]: Simplify (+ 0 1) into 1 5.185 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.185 * [backup-simplify]: Simplify -1/4 into -1/4 5.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.187 * [backup-simplify]: Simplify (+ 0 0) into 0 5.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.188 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.190 * [backup-simplify]: Simplify (+ 0 0) into 0 5.191 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.192 * [backup-simplify]: Simplify 3/16 into 3/16 5.192 * [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))) 5.192 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 (/ 1 x))))) into (/ 1/2 (hypot 1 (/ 1 x))) 5.192 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 5.192 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.192 * [taylor]: Taking taylor expansion of 1/2 in x 5.192 * [backup-simplify]: Simplify 1/2 into 1/2 5.192 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.192 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.192 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.192 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.192 * [taylor]: Taking taylor expansion of 1 in x 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [taylor]: Taking taylor expansion of 1 in x 5.192 * [backup-simplify]: Simplify 1 into 1 5.193 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.193 * [taylor]: Taking taylor expansion of x in x 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.193 * [taylor]: Taking taylor expansion of x in x 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.194 * [backup-simplify]: Simplify (+ 0 1) into 1 5.194 * [backup-simplify]: Simplify (sqrt 1) into 1 5.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.195 * [backup-simplify]: Simplify (+ 0 0) into 0 5.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.196 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.196 * [taylor]: Taking taylor expansion of 1/2 in x 5.196 * [backup-simplify]: Simplify 1/2 into 1/2 5.196 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.196 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.196 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.196 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.196 * [taylor]: Taking taylor expansion of 1 in x 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [taylor]: Taking taylor expansion of 1 in x 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.196 * [taylor]: Taking taylor expansion of x in x 5.196 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify 1 into 1 5.197 * [backup-simplify]: Simplify (/ 1 1) into 1 5.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.197 * [taylor]: Taking taylor expansion of x in x 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 1 into 1 5.197 * [backup-simplify]: Simplify (/ 1 1) into 1 5.197 * [backup-simplify]: Simplify (* 1 1) into 1 5.197 * [backup-simplify]: Simplify (+ 0 1) into 1 5.198 * [backup-simplify]: Simplify (sqrt 1) into 1 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.199 * [backup-simplify]: Simplify (+ 0 0) into 0 5.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.200 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.200 * [backup-simplify]: Simplify 1/2 into 1/2 5.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (* 1 1) into 1 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.203 * [backup-simplify]: Simplify (+ 1 0) into 1 5.203 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.204 * [backup-simplify]: Simplify -1/4 into -1/4 5.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.206 * [backup-simplify]: Simplify (+ 0 0) into 0 5.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.208 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.211 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.212 * [backup-simplify]: Simplify 3/16 into 3/16 5.212 * [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)))) 5.213 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (/ 1/2 (hypot 1 (/ -1 x))) 5.213 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 5.213 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.213 * [taylor]: Taking taylor expansion of 1/2 in x 5.213 * [backup-simplify]: Simplify 1/2 into 1/2 5.213 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.213 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.213 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.213 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.213 * [taylor]: Taking taylor expansion of 1 in x 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [taylor]: Taking taylor expansion of 1 in x 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.213 * [taylor]: Taking taylor expansion of -1 in x 5.213 * [backup-simplify]: Simplify -1 into -1 5.213 * [taylor]: Taking taylor expansion of x in x 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [backup-simplify]: Simplify (/ -1 1) into -1 5.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.213 * [taylor]: Taking taylor expansion of -1 in x 5.213 * [backup-simplify]: Simplify -1 into -1 5.213 * [taylor]: Taking taylor expansion of x in x 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (/ -1 1) into -1 5.214 * [backup-simplify]: Simplify (* -1 -1) into 1 5.214 * [backup-simplify]: Simplify (+ 0 1) into 1 5.214 * [backup-simplify]: Simplify (sqrt 1) into 1 5.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.216 * [backup-simplify]: Simplify (+ 0 0) into 0 5.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.217 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.217 * [taylor]: Taking taylor expansion of 1/2 in x 5.217 * [backup-simplify]: Simplify 1/2 into 1/2 5.217 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.217 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.217 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.217 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.217 * [taylor]: Taking taylor expansion of 1 in x 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [taylor]: Taking taylor expansion of 1 in x 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.217 * [taylor]: Taking taylor expansion of -1 in x 5.217 * [backup-simplify]: Simplify -1 into -1 5.217 * [taylor]: Taking taylor expansion of x in x 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (/ -1 1) into -1 5.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.217 * [taylor]: Taking taylor expansion of -1 in x 5.217 * [backup-simplify]: Simplify -1 into -1 5.217 * [taylor]: Taking taylor expansion of x in x 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.218 * [backup-simplify]: Simplify (/ -1 1) into -1 5.218 * [backup-simplify]: Simplify (* -1 -1) into 1 5.218 * [backup-simplify]: Simplify (+ 0 1) into 1 5.218 * [backup-simplify]: Simplify (sqrt 1) into 1 5.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.220 * [backup-simplify]: Simplify (+ 0 0) into 0 5.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.221 * [backup-simplify]: Simplify 1/2 into 1/2 5.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify (* 1 1) into 1 5.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.224 * [backup-simplify]: Simplify (+ 1 0) into 1 5.224 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.225 * [backup-simplify]: Simplify -1/4 into -1/4 5.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.228 * [backup-simplify]: Simplify (+ 0 0) into 0 5.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.234 * [backup-simplify]: Simplify (+ 0 0) into 0 5.236 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.237 * [backup-simplify]: Simplify 3/16 into 3/16 5.238 * [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)))) 5.238 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.238 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 5.238 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 5.238 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 5.238 * [taylor]: Taking taylor expansion of 1/2 in x 5.238 * [backup-simplify]: Simplify 1/2 into 1/2 5.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.238 * [taylor]: Taking taylor expansion of 1/2 in x 5.238 * [backup-simplify]: Simplify 1/2 into 1/2 5.238 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.238 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.238 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.238 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.238 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.238 * [taylor]: Taking taylor expansion of 1 in x 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [taylor]: Taking taylor expansion of 1 in x 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [taylor]: Taking taylor expansion of (* x x) in x 5.238 * [taylor]: Taking taylor expansion of x in x 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [taylor]: Taking taylor expansion of x in x 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (* 1 1) into 1 5.239 * [backup-simplify]: Simplify (* 0 0) into 0 5.240 * [backup-simplify]: Simplify (+ 1 0) into 1 5.240 * [backup-simplify]: Simplify (sqrt 1) into 1 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.241 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.242 * [backup-simplify]: Simplify (+ 0 0) into 0 5.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.243 * [backup-simplify]: Simplify (/ 1 1) into 1 5.243 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 5.243 * [taylor]: Taking taylor expansion of 1/2 in x 5.243 * [backup-simplify]: Simplify 1/2 into 1/2 5.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.243 * [taylor]: Taking taylor expansion of 1/2 in x 5.243 * [backup-simplify]: Simplify 1/2 into 1/2 5.243 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.243 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.243 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.243 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.243 * [taylor]: Taking taylor expansion of 1 in x 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [taylor]: Taking taylor expansion of 1 in x 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [taylor]: Taking taylor expansion of (* x x) in x 5.243 * [taylor]: Taking taylor expansion of x in x 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [taylor]: Taking taylor expansion of x in x 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 1 into 1 5.244 * [backup-simplify]: Simplify (* 1 1) into 1 5.244 * [backup-simplify]: Simplify (* 0 0) into 0 5.245 * [backup-simplify]: Simplify (+ 1 0) into 1 5.245 * [backup-simplify]: Simplify (sqrt 1) into 1 5.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.246 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.246 * [backup-simplify]: Simplify (+ 0 0) into 0 5.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.247 * [backup-simplify]: Simplify (/ 1 1) into 1 5.248 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.248 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.249 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 5.249 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.253 * [backup-simplify]: Simplify (+ 0 1) into 1 5.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.256 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.256 * [backup-simplify]: Simplify (- -1/4) into 1/4 5.256 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.256 * [backup-simplify]: Simplify 1/4 into 1/4 5.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.258 * [backup-simplify]: Simplify (+ 0 0) into 0 5.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (- 0) into 0 5.261 * [backup-simplify]: Simplify (+ 0 0) into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.263 * [backup-simplify]: Simplify (+ 0 0) into 0 5.263 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.265 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.266 * [backup-simplify]: Simplify (- 3/16) into -3/16 5.266 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 5.266 * [backup-simplify]: Simplify -3/16 into -3/16 5.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.268 * [backup-simplify]: Simplify (+ 0 0) into 0 5.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 5.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 5.272 * [backup-simplify]: Simplify (- 0) into 0 5.272 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.279 * [backup-simplify]: Simplify (+ 0 0) into 0 5.280 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.282 * [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 5.283 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 5.284 * [backup-simplify]: Simplify (- -5/32) into 5/32 5.284 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 5.284 * [backup-simplify]: Simplify 5/32 into 5/32 5.285 * [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))) 5.285 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 5.285 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 5.285 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 5.285 * [taylor]: Taking taylor expansion of 1/2 in x 5.285 * [backup-simplify]: Simplify 1/2 into 1/2 5.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.285 * [taylor]: Taking taylor expansion of 1/2 in x 5.285 * [backup-simplify]: Simplify 1/2 into 1/2 5.285 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.285 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.285 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.285 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.285 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.285 * [taylor]: Taking taylor expansion of 1 in x 5.285 * [backup-simplify]: Simplify 1 into 1 5.285 * [taylor]: Taking taylor expansion of 1 in x 5.285 * [backup-simplify]: Simplify 1 into 1 5.285 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.285 * [taylor]: Taking taylor expansion of x in x 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (/ 1 1) into 1 5.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.286 * [taylor]: Taking taylor expansion of x in x 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (/ 1 1) into 1 5.287 * [backup-simplify]: Simplify (* 1 1) into 1 5.287 * [backup-simplify]: Simplify (+ 0 1) into 1 5.288 * [backup-simplify]: Simplify (sqrt 1) into 1 5.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.290 * [backup-simplify]: Simplify (+ 0 0) into 0 5.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.291 * [backup-simplify]: Simplify (/ 1 1) into 1 5.291 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 5.291 * [taylor]: Taking taylor expansion of 1/2 in x 5.291 * [backup-simplify]: Simplify 1/2 into 1/2 5.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.291 * [taylor]: Taking taylor expansion of 1/2 in x 5.291 * [backup-simplify]: Simplify 1/2 into 1/2 5.291 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.291 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.291 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.291 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.291 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.291 * [taylor]: Taking taylor expansion of 1 in x 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of 1 in x 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.291 * [taylor]: Taking taylor expansion of x in x 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 1 into 1 5.292 * [backup-simplify]: Simplify (/ 1 1) into 1 5.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.292 * [taylor]: Taking taylor expansion of x in x 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 1 into 1 5.292 * [backup-simplify]: Simplify (/ 1 1) into 1 5.293 * [backup-simplify]: Simplify (* 1 1) into 1 5.293 * [backup-simplify]: Simplify (+ 0 1) into 1 5.293 * [backup-simplify]: Simplify (sqrt 1) into 1 5.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.296 * [backup-simplify]: Simplify (+ 0 0) into 0 5.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.297 * [backup-simplify]: Simplify (/ 1 1) into 1 5.298 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.298 * [backup-simplify]: Simplify 1/2 into 1/2 5.298 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.298 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.299 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.299 * [backup-simplify]: Simplify -1/2 into -1/2 5.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.301 * [backup-simplify]: Simplify (- 0) into 0 5.301 * [backup-simplify]: Simplify (+ 0 0) into 0 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify (* 1 1) into 1 5.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.304 * [backup-simplify]: Simplify (+ 1 0) into 1 5.305 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.306 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.306 * [backup-simplify]: Simplify (- -1/4) into 1/4 5.306 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.306 * [backup-simplify]: Simplify 1/4 into 1/4 5.307 * [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))) 5.307 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 5.307 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 5.307 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 5.307 * [taylor]: Taking taylor expansion of 1/2 in x 5.307 * [backup-simplify]: Simplify 1/2 into 1/2 5.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.307 * [taylor]: Taking taylor expansion of 1/2 in x 5.307 * [backup-simplify]: Simplify 1/2 into 1/2 5.307 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.307 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.307 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.307 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.307 * [taylor]: Taking taylor expansion of 1 in x 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [taylor]: Taking taylor expansion of 1 in x 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.307 * [taylor]: Taking taylor expansion of -1 in x 5.307 * [backup-simplify]: Simplify -1 into -1 5.307 * [taylor]: Taking taylor expansion of x in x 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (/ -1 1) into -1 5.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.307 * [taylor]: Taking taylor expansion of -1 in x 5.308 * [backup-simplify]: Simplify -1 into -1 5.308 * [taylor]: Taking taylor expansion of x in x 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (/ -1 1) into -1 5.308 * [backup-simplify]: Simplify (* -1 -1) into 1 5.308 * [backup-simplify]: Simplify (+ 0 1) into 1 5.309 * [backup-simplify]: Simplify (sqrt 1) into 1 5.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.310 * [backup-simplify]: Simplify (+ 0 0) into 0 5.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.311 * [backup-simplify]: Simplify (/ 1 1) into 1 5.311 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 5.311 * [taylor]: Taking taylor expansion of 1/2 in x 5.311 * [backup-simplify]: Simplify 1/2 into 1/2 5.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.311 * [taylor]: Taking taylor expansion of 1/2 in x 5.311 * [backup-simplify]: Simplify 1/2 into 1/2 5.311 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.311 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.311 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.311 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.311 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.311 * [taylor]: Taking taylor expansion of 1 in x 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [taylor]: Taking taylor expansion of 1 in x 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.311 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.311 * [taylor]: Taking taylor expansion of -1 in x 5.311 * [backup-simplify]: Simplify -1 into -1 5.311 * [taylor]: Taking taylor expansion of x in x 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [backup-simplify]: Simplify (/ -1 1) into -1 5.312 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.312 * [taylor]: Taking taylor expansion of -1 in x 5.312 * [backup-simplify]: Simplify -1 into -1 5.312 * [taylor]: Taking taylor expansion of x in x 5.312 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify 1 into 1 5.312 * [backup-simplify]: Simplify (/ -1 1) into -1 5.312 * [backup-simplify]: Simplify (* -1 -1) into 1 5.312 * [backup-simplify]: Simplify (+ 0 1) into 1 5.313 * [backup-simplify]: Simplify (sqrt 1) into 1 5.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.314 * [backup-simplify]: Simplify (+ 0 0) into 0 5.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.315 * [backup-simplify]: Simplify (/ 1 1) into 1 5.315 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.315 * [backup-simplify]: Simplify 1/2 into 1/2 5.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.316 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.316 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.316 * [backup-simplify]: Simplify -1/2 into -1/2 5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.317 * [backup-simplify]: Simplify (- 0) into 0 5.317 * [backup-simplify]: Simplify (+ 0 0) into 0 5.317 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify (* 1 1) into 1 5.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.320 * [backup-simplify]: Simplify (+ 1 0) into 1 5.321 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.322 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.322 * [backup-simplify]: Simplify (- -1/4) into 1/4 5.322 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.322 * [backup-simplify]: Simplify 1/4 into 1/4 5.323 * [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)))) 5.323 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1 1) 5.323 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 5.323 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 5.323 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.323 * [taylor]: Taking taylor expansion of 1/2 in x 5.323 * [backup-simplify]: Simplify 1/2 into 1/2 5.323 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.323 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.323 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.323 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.323 * [taylor]: Taking taylor expansion of 1 in x 5.323 * [backup-simplify]: Simplify 1 into 1 5.323 * [taylor]: Taking taylor expansion of 1 in x 5.323 * [backup-simplify]: Simplify 1 into 1 5.323 * [taylor]: Taking taylor expansion of (* x x) in x 5.323 * [taylor]: Taking taylor expansion of x in x 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 1 into 1 5.323 * [taylor]: Taking taylor expansion of x in x 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 1 into 1 5.323 * [backup-simplify]: Simplify (* 1 1) into 1 5.324 * [backup-simplify]: Simplify (* 0 0) into 0 5.324 * [backup-simplify]: Simplify (+ 1 0) into 1 5.324 * [backup-simplify]: Simplify (sqrt 1) into 1 5.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.325 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.325 * [backup-simplify]: Simplify (+ 0 0) into 0 5.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.326 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.326 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.326 * [taylor]: Taking taylor expansion of 1/2 in x 5.326 * [backup-simplify]: Simplify 1/2 into 1/2 5.326 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.326 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.326 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.326 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.326 * [taylor]: Taking taylor expansion of 1 in x 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [taylor]: Taking taylor expansion of 1 in x 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [taylor]: Taking taylor expansion of (* x x) in x 5.326 * [taylor]: Taking taylor expansion of x in x 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [taylor]: Taking taylor expansion of x in x 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify 1 into 1 5.327 * [backup-simplify]: Simplify (* 1 1) into 1 5.327 * [backup-simplify]: Simplify (* 0 0) into 0 5.327 * [backup-simplify]: Simplify (+ 1 0) into 1 5.327 * [backup-simplify]: Simplify (sqrt 1) into 1 5.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.328 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.329 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.329 * [backup-simplify]: Simplify 1/2 into 1/2 5.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.330 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.331 * [backup-simplify]: Simplify (+ 0 1) into 1 5.331 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.332 * [backup-simplify]: Simplify -1/4 into -1/4 5.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.334 * [backup-simplify]: Simplify (+ 0 0) into 0 5.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.335 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.337 * [backup-simplify]: Simplify (+ 0 0) into 0 5.339 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.341 * [backup-simplify]: Simplify 3/16 into 3/16 5.341 * [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))) 5.341 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 5.341 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 5.341 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.341 * [taylor]: Taking taylor expansion of 1/2 in x 5.341 * [backup-simplify]: Simplify 1/2 into 1/2 5.341 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.341 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.341 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.341 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.341 * [taylor]: Taking taylor expansion of 1 in x 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [taylor]: Taking taylor expansion of 1 in x 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.341 * [taylor]: Taking taylor expansion of x in x 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.342 * [taylor]: Taking taylor expansion of x in x 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.343 * [backup-simplify]: Simplify (* 1 1) into 1 5.343 * [backup-simplify]: Simplify (+ 0 1) into 1 5.343 * [backup-simplify]: Simplify (sqrt 1) into 1 5.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.346 * [backup-simplify]: Simplify (+ 0 0) into 0 5.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.347 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.347 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.347 * [taylor]: Taking taylor expansion of 1/2 in x 5.347 * [backup-simplify]: Simplify 1/2 into 1/2 5.347 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.347 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.347 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.347 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.347 * [taylor]: Taking taylor expansion of 1 in x 5.347 * [backup-simplify]: Simplify 1 into 1 5.347 * [taylor]: Taking taylor expansion of 1 in x 5.347 * [backup-simplify]: Simplify 1 into 1 5.347 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.347 * [taylor]: Taking taylor expansion of x in x 5.347 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify 1 into 1 5.348 * [backup-simplify]: Simplify (/ 1 1) into 1 5.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.348 * [taylor]: Taking taylor expansion of x in x 5.348 * [backup-simplify]: Simplify 0 into 0 5.348 * [backup-simplify]: Simplify 1 into 1 5.348 * [backup-simplify]: Simplify (/ 1 1) into 1 5.348 * [backup-simplify]: Simplify (* 1 1) into 1 5.349 * [backup-simplify]: Simplify (+ 0 1) into 1 5.349 * [backup-simplify]: Simplify (sqrt 1) into 1 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.352 * [backup-simplify]: Simplify (+ 0 0) into 0 5.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.354 * [backup-simplify]: Simplify 1/2 into 1/2 5.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (* 1 1) into 1 5.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.358 * [backup-simplify]: Simplify (+ 1 0) into 1 5.359 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.360 * [backup-simplify]: Simplify -1/4 into -1/4 5.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (+ 0 0) into 0 5.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.365 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.368 * [backup-simplify]: Simplify (+ 0 0) into 0 5.368 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.370 * [backup-simplify]: Simplify 3/16 into 3/16 5.370 * [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)))) 5.370 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 5.370 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 5.370 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.370 * [taylor]: Taking taylor expansion of 1/2 in x 5.370 * [backup-simplify]: Simplify 1/2 into 1/2 5.370 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.370 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.370 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.370 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.370 * [taylor]: Taking taylor expansion of 1 in x 5.370 * [backup-simplify]: Simplify 1 into 1 5.370 * [taylor]: Taking taylor expansion of 1 in x 5.370 * [backup-simplify]: Simplify 1 into 1 5.370 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.370 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.370 * [taylor]: Taking taylor expansion of -1 in x 5.370 * [backup-simplify]: Simplify -1 into -1 5.370 * [taylor]: Taking taylor expansion of x in x 5.370 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify (/ -1 1) into -1 5.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.371 * [taylor]: Taking taylor expansion of -1 in x 5.371 * [backup-simplify]: Simplify -1 into -1 5.371 * [taylor]: Taking taylor expansion of x in x 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify (/ -1 1) into -1 5.371 * [backup-simplify]: Simplify (* -1 -1) into 1 5.372 * [backup-simplify]: Simplify (+ 0 1) into 1 5.372 * [backup-simplify]: Simplify (sqrt 1) into 1 5.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.373 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.374 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.374 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.374 * [taylor]: Taking taylor expansion of 1/2 in x 5.374 * [backup-simplify]: Simplify 1/2 into 1/2 5.374 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.374 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.374 * [taylor]: Taking taylor expansion of 1 in x 5.374 * [backup-simplify]: Simplify 1 into 1 5.374 * [taylor]: Taking taylor expansion of 1 in x 5.374 * [backup-simplify]: Simplify 1 into 1 5.374 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.374 * [taylor]: Taking taylor expansion of -1 in x 5.374 * [backup-simplify]: Simplify -1 into -1 5.374 * [taylor]: Taking taylor expansion of x in x 5.374 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [backup-simplify]: Simplify (/ -1 1) into -1 5.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.375 * [taylor]: Taking taylor expansion of -1 in x 5.375 * [backup-simplify]: Simplify -1 into -1 5.375 * [taylor]: Taking taylor expansion of x in x 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [backup-simplify]: Simplify (/ -1 1) into -1 5.375 * [backup-simplify]: Simplify (* -1 -1) into 1 5.376 * [backup-simplify]: Simplify (+ 0 1) into 1 5.376 * [backup-simplify]: Simplify (sqrt 1) into 1 5.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.378 * [backup-simplify]: Simplify (+ 0 0) into 0 5.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.378 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.378 * [backup-simplify]: Simplify 1/2 into 1/2 5.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify (* 1 1) into 1 5.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.385 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.386 * [backup-simplify]: Simplify (+ 1 0) into 1 5.386 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.387 * [backup-simplify]: Simplify -1/4 into -1/4 5.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.389 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.389 * [backup-simplify]: Simplify (+ 0 0) into 0 5.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.394 * [backup-simplify]: Simplify (+ 0 0) into 0 5.395 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.396 * [backup-simplify]: Simplify 3/16 into 3/16 5.396 * [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)))) 5.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 5.396 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 5.396 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 5.396 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.396 * [taylor]: Taking taylor expansion of 1/2 in x 5.396 * [backup-simplify]: Simplify 1/2 into 1/2 5.396 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.396 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.396 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.396 * [taylor]: Taking taylor expansion of 1 in x 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [taylor]: Taking taylor expansion of 1 in x 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [taylor]: Taking taylor expansion of (* x x) in x 5.396 * [taylor]: Taking taylor expansion of x in x 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [taylor]: Taking taylor expansion of x in x 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (* 1 1) into 1 5.397 * [backup-simplify]: Simplify (* 0 0) into 0 5.397 * [backup-simplify]: Simplify (+ 1 0) into 1 5.398 * [backup-simplify]: Simplify (sqrt 1) into 1 5.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.399 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.399 * [backup-simplify]: Simplify (+ 0 0) into 0 5.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.399 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.399 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.400 * [taylor]: Taking taylor expansion of 1/2 in x 5.400 * [backup-simplify]: Simplify 1/2 into 1/2 5.400 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.400 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.400 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.400 * [taylor]: Taking taylor expansion of 1 in x 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [taylor]: Taking taylor expansion of 1 in x 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [taylor]: Taking taylor expansion of (* x x) in x 5.400 * [taylor]: Taking taylor expansion of x in x 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [taylor]: Taking taylor expansion of x in x 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [backup-simplify]: Simplify (* 1 1) into 1 5.400 * [backup-simplify]: Simplify (* 0 0) into 0 5.401 * [backup-simplify]: Simplify (+ 1 0) into 1 5.401 * [backup-simplify]: Simplify (sqrt 1) into 1 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.402 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.402 * [backup-simplify]: Simplify (+ 0 0) into 0 5.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.403 * [backup-simplify]: Simplify 1/2 into 1/2 5.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.405 * [backup-simplify]: Simplify (+ 0 1) into 1 5.405 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.406 * [backup-simplify]: Simplify -1/4 into -1/4 5.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.408 * [backup-simplify]: Simplify (+ 0 0) into 0 5.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.411 * [backup-simplify]: Simplify (+ 0 0) into 0 5.412 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.413 * [backup-simplify]: Simplify 3/16 into 3/16 5.413 * [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))) 5.413 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 5.413 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 5.413 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.413 * [taylor]: Taking taylor expansion of 1/2 in x 5.413 * [backup-simplify]: Simplify 1/2 into 1/2 5.413 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.413 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.413 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.413 * [taylor]: Taking taylor expansion of 1 in x 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [taylor]: Taking taylor expansion of 1 in x 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.413 * [taylor]: Taking taylor expansion of x in x 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [backup-simplify]: Simplify (/ 1 1) into 1 5.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.413 * [taylor]: Taking taylor expansion of x in x 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.414 * [backup-simplify]: Simplify (/ 1 1) into 1 5.414 * [backup-simplify]: Simplify (* 1 1) into 1 5.414 * [backup-simplify]: Simplify (+ 0 1) into 1 5.414 * [backup-simplify]: Simplify (sqrt 1) into 1 5.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.416 * [backup-simplify]: Simplify (+ 0 0) into 0 5.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.417 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.417 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.417 * [taylor]: Taking taylor expansion of 1/2 in x 5.417 * [backup-simplify]: Simplify 1/2 into 1/2 5.417 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.417 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.417 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.417 * [taylor]: Taking taylor expansion of 1 in x 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [taylor]: Taking taylor expansion of 1 in x 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.417 * [taylor]: Taking taylor expansion of x in x 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (/ 1 1) into 1 5.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.417 * [taylor]: Taking taylor expansion of x in x 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (/ 1 1) into 1 5.418 * [backup-simplify]: Simplify (* 1 1) into 1 5.418 * [backup-simplify]: Simplify (+ 0 1) into 1 5.418 * [backup-simplify]: Simplify (sqrt 1) into 1 5.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.420 * [backup-simplify]: Simplify (+ 0 0) into 0 5.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.421 * [backup-simplify]: Simplify 1/2 into 1/2 5.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify (* 1 1) into 1 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.423 * [backup-simplify]: Simplify (+ 1 0) into 1 5.424 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.425 * [backup-simplify]: Simplify -1/4 into -1/4 5.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.431 * [backup-simplify]: Simplify (+ 0 0) into 0 5.432 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.433 * [backup-simplify]: Simplify 3/16 into 3/16 5.433 * [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)))) 5.433 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 5.433 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 5.433 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.433 * [taylor]: Taking taylor expansion of 1/2 in x 5.433 * [backup-simplify]: Simplify 1/2 into 1/2 5.433 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.433 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.433 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.433 * [taylor]: Taking taylor expansion of 1 in x 5.433 * [backup-simplify]: Simplify 1 into 1 5.433 * [taylor]: Taking taylor expansion of 1 in x 5.433 * [backup-simplify]: Simplify 1 into 1 5.433 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.433 * [taylor]: Taking taylor expansion of -1 in x 5.433 * [backup-simplify]: Simplify -1 into -1 5.433 * [taylor]: Taking taylor expansion of x in x 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (/ -1 1) into -1 5.434 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.434 * [taylor]: Taking taylor expansion of -1 in x 5.434 * [backup-simplify]: Simplify -1 into -1 5.434 * [taylor]: Taking taylor expansion of x in x 5.434 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (/ -1 1) into -1 5.434 * [backup-simplify]: Simplify (* -1 -1) into 1 5.435 * [backup-simplify]: Simplify (+ 0 1) into 1 5.435 * [backup-simplify]: Simplify (sqrt 1) into 1 5.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.436 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.437 * [backup-simplify]: Simplify (+ 0 0) into 0 5.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.437 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.437 * [taylor]: Taking taylor expansion of 1/2 in x 5.437 * [backup-simplify]: Simplify 1/2 into 1/2 5.437 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.437 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.437 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.437 * [taylor]: Taking taylor expansion of 1 in x 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of 1 in x 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.437 * [taylor]: Taking taylor expansion of -1 in x 5.438 * [backup-simplify]: Simplify -1 into -1 5.438 * [taylor]: Taking taylor expansion of x in x 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify (/ -1 1) into -1 5.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.438 * [taylor]: Taking taylor expansion of -1 in x 5.438 * [backup-simplify]: Simplify -1 into -1 5.438 * [taylor]: Taking taylor expansion of x in x 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify (/ -1 1) into -1 5.438 * [backup-simplify]: Simplify (* -1 -1) into 1 5.439 * [backup-simplify]: Simplify (+ 0 1) into 1 5.439 * [backup-simplify]: Simplify (sqrt 1) into 1 5.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.440 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.441 * [backup-simplify]: Simplify (+ 0 0) into 0 5.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.441 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.441 * [backup-simplify]: Simplify 1/2 into 1/2 5.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify (* 1 1) into 1 5.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.444 * [backup-simplify]: Simplify (+ 1 0) into 1 5.445 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.445 * [backup-simplify]: Simplify -1/4 into -1/4 5.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.448 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.448 * [backup-simplify]: Simplify (+ 0 0) into 0 5.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.452 * [backup-simplify]: Simplify (+ 0 0) into 0 5.453 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.454 * [backup-simplify]: Simplify 3/16 into 3/16 5.454 * [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)))) 5.454 * * * [progress]: simplifying candidates 5.454 * * * * [progress]: [ 1 / 160 ] simplifiying candidate # 5.454 * * * * [progress]: [ 2 / 160 ] simplifiying candidate # 5.454 * * * * [progress]: [ 3 / 160 ] simplifiying candidate # 5.454 * * * * [progress]: [ 4 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 5 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 6 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 7 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 8 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 9 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 10 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 11 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 12 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 13 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 14 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 15 / 160 ] simplifiying candidate # 5.455 * * * * [progress]: [ 16 / 160 ] 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[progress]: [ 31 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 32 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 33 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 34 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 35 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 36 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 37 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 38 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 39 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 40 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 41 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 42 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 43 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 44 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 45 / 160 ] simplifiying candidate # 5.456 * * * * [progress]: [ 46 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 47 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 48 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 49 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 50 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 51 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 52 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 53 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 54 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 55 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 56 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 57 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 58 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 59 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 60 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 61 / 160 ] simplifiying candidate # 5.457 * * * * [progress]: [ 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5.458 * * * * [progress]: [ 78 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 79 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 80 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 81 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 82 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 83 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 84 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 85 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 86 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 87 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 88 / 160 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 x)))) 1/2)))))> 5.458 * * * * [progress]: [ 89 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 90 / 160 ] simplifiying candidate # 5.458 * * * * [progress]: [ 91 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 92 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 93 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 94 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 95 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 96 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 97 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 98 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 99 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 100 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 101 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 102 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 103 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 104 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 105 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 106 / 160 ] simplifiying candidate # 5.459 * * * * [progress]: [ 107 / 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* * * * [progress]: [ 122 / 160 ] simplifiying candidate # 5.460 * * * * [progress]: [ 123 / 160 ] simplifiying candidate # 5.460 * * * * [progress]: [ 124 / 160 ] simplifiying candidate # 5.460 * * * * [progress]: [ 125 / 160 ] simplifiying candidate # 5.460 * * * * [progress]: [ 126 / 160 ] simplifiying candidate # 5.460 * * * * [progress]: [ 127 / 160 ] simplifiying candidate # 5.460 * * * * [progress]: [ 128 / 160 ] simplifiying candidate # 5.460 * * * * [progress]: [ 129 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 130 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 131 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 132 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 133 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 134 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 135 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 136 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 137 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[progress]: [ 151 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 152 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 153 / 160 ] simplifiying candidate # 5.461 * * * * [progress]: [ 154 / 160 ] simplifiying candidate # 5.462 * * * * [progress]: [ 155 / 160 ] simplifiying candidate # 5.462 * * * * [progress]: [ 156 / 160 ] simplifiying candidate # 5.462 * * * * [progress]: [ 157 / 160 ] simplifiying candidate # 5.462 * * * * [progress]: [ 158 / 160 ] simplifiying candidate # 5.462 * * * * [progress]: [ 159 / 160 ] simplifiying candidate # 5.462 * * * * [progress]: [ 160 / 160 ] simplifiying candidate # 5.463 * [simplify]: Simplifying: (expm1 (log (exp (/ 1/2 (hypot 1 x))))) (log1p (log (exp (/ 1/2 (hypot 1 x))))) (log (* (cbrt (exp (/ 1/2 (hypot 1 x)))) (cbrt (exp (/ 1/2 (hypot 1 x)))))) (log (cbrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log 1) (log (exp (/ 1/2 (hypot 1 x)))) (log (exp (/ 1/2 (hypot 1 x)))) (log (exp (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (log (exp (sqrt (/ 1/2 (hypot 1 x))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (log (exp (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (log (exp (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (log (exp (/ (sqrt 1/2) 1))) (log (exp (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (log (exp (/ 1 (sqrt (hypot 1 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1/2)) (log (log (exp (/ 1/2 (hypot 1 x))))) (exp (log (exp (/ 1/2 (hypot 1 x))))) (* (cbrt (log (exp (/ 1/2 (hypot 1 x))))) (cbrt (log (exp (/ 1/2 (hypot 1 x)))))) (cbrt (log (exp (/ 1/2 (hypot 1 x))))) (* (* (log (exp (/ 1/2 (hypot 1 x)))) (log (exp (/ 1/2 (hypot 1 x))))) (log (exp (/ 1/2 (hypot 1 x))))) (sqrt (log (exp (/ 1/2 (hypot 1 x))))) (sqrt (log (exp (/ 1/2 (hypot 1 x))))) (real->posit16 (log (exp (/ 1/2 (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (sqrt 1/2) 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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))) (- (+ (* 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)))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 5.466 * * [simplify]: iteration 1: (244 enodes) 5.615 * * [simplify]: iteration 2: (948 enodes) 5.886 * * [simplify]: iteration 3: (1894 enodes) 7.284 * * [simplify]: Extracting #0: cost 68 inf + 0 7.287 * * [simplify]: Extracting #1: cost 444 inf + 4 7.298 * * [simplify]: Extracting #2: cost 828 inf + 18323 7.341 * * [simplify]: Extracting #3: cost 401 inf + 123963 7.426 * * [simplify]: Extracting #4: cost 71 inf + 209744 7.508 * * [simplify]: Extracting #5: cost 17 inf + 226716 7.554 * * [simplify]: Extracting #6: cost 3 inf + 231167 7.610 * * [simplify]: Extracting #7: cost 0 inf + 232337 7.682 * [simplify]: Simplified to: (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (+ (log (cbrt (exp (/ 1/2 (hypot 1 x))))) (log (cbrt (exp (/ 1/2 (hypot 1 x)))))) (log (cbrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) 0 (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (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) (cbrt 1/2)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) 1 1 1/2 (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (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 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x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (- (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (- (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (- (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (- (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ (- (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (/ -1/2 (hypot 1 x)) (+ 1/4 (/ (/ -1/4 (hypot 1 x)) (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 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)) (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (- 1/2 (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (+ (/ 1/2 x) (+ 1/2 (/ -1/4 (* (* x x) x)))) (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)) (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)) 7.713 * * * [progress]: adding candidates to table 9.726 * * [progress]: iteration 4 / 4 9.726 * * * [progress]: picking best candidate 9.731 * * * * [pick]: Picked # 9.731 * * * [progress]: localizing error 9.780 * * * [progress]: generating rewritten candidates 9.780 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.780 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3) 9.781 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 9.801 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 3 3) 9.871 * * * [progress]: generating series expansions 9.871 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.872 * [backup-simplify]: Simplify (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) into (fma (pow x 6) 5/32 (fma (pow x 2) 1/4 (* -3/16 (pow x 4)))) 9.872 * [approximate]: Taking taylor expansion of (fma (pow x 6) 5/32 (fma (pow x 2) 1/4 (* -3/16 (pow x 4)))) in (x) around 0 9.872 * [taylor]: Taking taylor expansion of (fma (pow x 6) 5/32 (fma (pow x 2) 1/4 (* -3/16 (pow x 4)))) in x 9.872 * [taylor]: Rewrote expression to (+ (* (pow x 6) 5/32) (fma (pow x 2) 1/4 (* -3/16 (pow x 4)))) 9.872 * [taylor]: Taking taylor expansion of (* (pow x 6) 5/32) in x 9.872 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.872 * [taylor]: Taking taylor expansion of x in x 9.872 * [backup-simplify]: Simplify 0 into 0 9.872 * [backup-simplify]: Simplify 1 into 1 9.872 * [taylor]: Taking taylor expansion of 5/32 in x 9.872 * [backup-simplify]: Simplify 5/32 into 5/32 9.872 * [taylor]: Taking taylor expansion of (fma (pow x 2) 1/4 (* -3/16 (pow x 4))) in x 9.872 * [taylor]: Rewrote expression to (+ (* (pow x 2) 1/4) (* -3/16 (pow x 4))) 9.872 * [taylor]: Taking taylor expansion of (* (pow x 2) 1/4) in x 9.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.872 * [taylor]: Taking taylor expansion of x in x 9.872 * [backup-simplify]: Simplify 0 into 0 9.872 * [backup-simplify]: Simplify 1 into 1 9.872 * [taylor]: Taking taylor expansion of 1/4 in x 9.872 * [backup-simplify]: Simplify 1/4 into 1/4 9.872 * [taylor]: Taking taylor expansion of (* -3/16 (pow x 4)) in x 9.872 * [taylor]: Taking taylor expansion of -3/16 in x 9.872 * [backup-simplify]: Simplify -3/16 into -3/16 9.872 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.872 * [taylor]: Taking taylor expansion of x in x 9.872 * [backup-simplify]: Simplify 0 into 0 9.872 * [backup-simplify]: Simplify 1 into 1 9.872 * [taylor]: Taking taylor expansion of (fma (pow x 6) 5/32 (fma (pow x 2) 1/4 (* -3/16 (pow x 4)))) in x 9.872 * [taylor]: Rewrote expression to (+ (* (pow x 6) 5/32) (fma (pow x 2) 1/4 (* -3/16 (pow x 4)))) 9.872 * [taylor]: Taking taylor expansion of (* (pow x 6) 5/32) in x 9.872 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.872 * [taylor]: Taking taylor expansion of x in x 9.872 * [backup-simplify]: Simplify 0 into 0 9.872 * [backup-simplify]: Simplify 1 into 1 9.872 * [taylor]: Taking taylor expansion of 5/32 in x 9.872 * [backup-simplify]: Simplify 5/32 into 5/32 9.872 * [taylor]: Taking taylor expansion of (fma (pow x 2) 1/4 (* -3/16 (pow x 4))) in x 9.872 * [taylor]: Rewrote expression to (+ (* (pow x 2) 1/4) (* -3/16 (pow x 4))) 9.872 * [taylor]: Taking taylor expansion of (* (pow x 2) 1/4) in x 9.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.873 * [taylor]: Taking taylor expansion of x in x 9.873 * [backup-simplify]: Simplify 0 into 0 9.873 * [backup-simplify]: Simplify 1 into 1 9.873 * [taylor]: Taking taylor expansion of 1/4 in x 9.873 * [backup-simplify]: Simplify 1/4 into 1/4 9.873 * [taylor]: Taking taylor expansion of (* -3/16 (pow x 4)) in x 9.873 * [taylor]: Taking taylor expansion of -3/16 in x 9.873 * [backup-simplify]: Simplify -3/16 into -3/16 9.873 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.873 * [taylor]: Taking taylor expansion of x in x 9.873 * [backup-simplify]: Simplify 0 into 0 9.873 * [backup-simplify]: Simplify 1 into 1 9.873 * [backup-simplify]: Simplify (* 1 1) into 1 9.874 * [backup-simplify]: Simplify (* 1 1/4) into 1/4 9.874 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.874 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.874 * [backup-simplify]: Simplify 1/4 into 1/4 9.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/4)) into 0 9.875 * [backup-simplify]: Simplify (+ 0 0) into 0 9.876 * [backup-simplify]: Simplify (+ 0 0) into 0 9.876 * [backup-simplify]: Simplify 0 into 0 9.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/4))) into 0 9.877 * [backup-simplify]: Simplify (* 1 1) into 1 9.877 * [backup-simplify]: Simplify (* 1 1) into 1 9.878 * [backup-simplify]: Simplify (* -3/16 1) into -3/16 9.878 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.878 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.878 * [backup-simplify]: Simplify -3/16 into -3/16 9.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) into 0 9.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.881 * [backup-simplify]: Simplify (+ (* -3/16 0) (* 0 1)) into 0 9.881 * [backup-simplify]: Simplify (+ 0 0) into 0 9.881 * [backup-simplify]: Simplify (+ 0 0) into 0 9.881 * [backup-simplify]: Simplify 0 into 0 9.882 * [backup-simplify]: Simplify (* 1 1) into 1 9.882 * [backup-simplify]: Simplify (* 1 1) into 1 9.882 * [backup-simplify]: Simplify (* 1 1) into 1 9.883 * [backup-simplify]: Simplify (* 1 5/32) into 5/32 9.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4))))) into 0 9.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.886 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (* 0 1))) into 0 9.886 * [backup-simplify]: Simplify (+ 0 0) into 0 9.886 * [backup-simplify]: Simplify (+ 5/32 0) into 5/32 9.886 * [backup-simplify]: Simplify 5/32 into 5/32 9.887 * [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))) 9.887 * [backup-simplify]: Simplify (fma (* (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 x) (/ 1 x))) 5/32 (fma (* (/ 1 x) (/ 1 x)) 1/4 (* -3/16 (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x)))))) into (fma (/ 1 (pow x 6)) 5/32 (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) 9.887 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 5/32 (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) in (x) around 0 9.887 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 5/32 (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) in x 9.887 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 5/32) (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) 9.887 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 5/32) in x 9.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.887 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.887 * [taylor]: Taking taylor expansion of x in x 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify 1 into 1 9.887 * [backup-simplify]: Simplify (* 1 1) into 1 9.888 * [backup-simplify]: Simplify (* 1 1) into 1 9.888 * [backup-simplify]: Simplify (* 1 1) into 1 9.888 * [backup-simplify]: Simplify (/ 1 1) into 1 9.888 * [taylor]: Taking taylor expansion of 5/32 in x 9.888 * [backup-simplify]: Simplify 5/32 into 5/32 9.888 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in x 9.888 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) 1/4) (/ -3/16 (pow x 4))) 9.888 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) 1/4) in x 9.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.888 * [taylor]: Taking taylor expansion of x in x 9.888 * [backup-simplify]: Simplify 0 into 0 9.888 * [backup-simplify]: Simplify 1 into 1 9.888 * [backup-simplify]: Simplify (* 1 1) into 1 9.889 * [backup-simplify]: Simplify (/ 1 1) into 1 9.889 * [taylor]: Taking taylor expansion of 1/4 in x 9.889 * [backup-simplify]: Simplify 1/4 into 1/4 9.889 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 9.889 * [taylor]: Taking taylor expansion of -3/16 in x 9.889 * [backup-simplify]: Simplify -3/16 into -3/16 9.889 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.889 * [taylor]: Taking taylor expansion of x in x 9.889 * [backup-simplify]: Simplify 0 into 0 9.889 * [backup-simplify]: Simplify 1 into 1 9.889 * [backup-simplify]: Simplify (* 1 1) into 1 9.889 * [backup-simplify]: Simplify (* 1 1) into 1 9.890 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 9.890 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 5/32 (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) in x 9.890 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 5/32) (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) 9.890 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 5/32) in x 9.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.890 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.890 * [taylor]: Taking taylor expansion of x in x 9.890 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify 1 into 1 9.890 * [backup-simplify]: Simplify (* 1 1) into 1 9.890 * [backup-simplify]: Simplify (* 1 1) into 1 9.891 * [backup-simplify]: Simplify (* 1 1) into 1 9.891 * [backup-simplify]: Simplify (/ 1 1) into 1 9.891 * [taylor]: Taking taylor expansion of 5/32 in x 9.891 * [backup-simplify]: Simplify 5/32 into 5/32 9.891 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in x 9.891 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) 1/4) (/ -3/16 (pow x 4))) 9.891 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) 1/4) in x 9.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.891 * [taylor]: Taking taylor expansion of x in x 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [backup-simplify]: Simplify (* 1 1) into 1 9.891 * [backup-simplify]: Simplify (/ 1 1) into 1 9.891 * [taylor]: Taking taylor expansion of 1/4 in x 9.892 * [backup-simplify]: Simplify 1/4 into 1/4 9.892 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 9.892 * [taylor]: Taking taylor expansion of -3/16 in x 9.892 * [backup-simplify]: Simplify -3/16 into -3/16 9.892 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.892 * [taylor]: Taking taylor expansion of x in x 9.892 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify 1 into 1 9.892 * [backup-simplify]: Simplify (* 1 1) into 1 9.892 * [backup-simplify]: Simplify (* 1 1) into 1 9.892 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 9.893 * [backup-simplify]: Simplify (* 1 5/32) into 5/32 9.893 * [backup-simplify]: Simplify (+ 5/32 0) into 5/32 9.893 * [backup-simplify]: Simplify 5/32 into 5/32 9.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 5/32)) into 0 9.895 * [backup-simplify]: Simplify (+ 0 0) into 0 9.895 * [backup-simplify]: Simplify 0 into 0 9.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5/32))) into 0 9.899 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.899 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.899 * [backup-simplify]: Simplify -3/16 into -3/16 9.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5/32)))) into 0 9.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)))) into 0 9.904 * [backup-simplify]: Simplify (+ 0 0) into 0 9.904 * [backup-simplify]: Simplify (+ 0 0) into 0 9.904 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5/32))))) into 0 9.908 * [backup-simplify]: Simplify (* 1 1/4) into 1/4 9.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.910 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.910 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.910 * [backup-simplify]: Simplify 1/4 into 1/4 9.910 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (/ 1 x)) 2)) (+ (* -3/16 (pow (/ 1 (/ 1 x)) 4)) (* 5/32 (pow (/ 1 (/ 1 x)) 6)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 9.911 * [backup-simplify]: Simplify (fma (* (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) 5/32 (fma (* (/ 1 (- x)) (/ 1 (- x))) 1/4 (* -3/16 (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x))))))) into (fma (/ 1 (pow x 6)) 5/32 (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) 9.911 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 5/32 (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) in (x) around 0 9.911 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 5/32 (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) in x 9.911 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 5/32) (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) 9.911 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 5/32) in x 9.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.911 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.911 * [taylor]: Taking taylor expansion of x in x 9.911 * [backup-simplify]: Simplify 0 into 0 9.911 * [backup-simplify]: Simplify 1 into 1 9.911 * [backup-simplify]: Simplify (* 1 1) into 1 9.911 * [backup-simplify]: Simplify (* 1 1) into 1 9.912 * [backup-simplify]: Simplify (* 1 1) into 1 9.912 * [backup-simplify]: Simplify (/ 1 1) into 1 9.912 * [taylor]: Taking taylor expansion of 5/32 in x 9.912 * [backup-simplify]: Simplify 5/32 into 5/32 9.912 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in x 9.912 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) 1/4) (/ -3/16 (pow x 4))) 9.912 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) 1/4) in x 9.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.912 * [taylor]: Taking taylor expansion of x in x 9.912 * [backup-simplify]: Simplify 0 into 0 9.912 * [backup-simplify]: Simplify 1 into 1 9.912 * [backup-simplify]: Simplify (* 1 1) into 1 9.913 * [backup-simplify]: Simplify (/ 1 1) into 1 9.913 * [taylor]: Taking taylor expansion of 1/4 in x 9.913 * [backup-simplify]: Simplify 1/4 into 1/4 9.913 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 9.913 * [taylor]: Taking taylor expansion of -3/16 in x 9.913 * [backup-simplify]: Simplify -3/16 into -3/16 9.913 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.913 * [taylor]: Taking taylor expansion of x in x 9.913 * [backup-simplify]: Simplify 0 into 0 9.913 * [backup-simplify]: Simplify 1 into 1 9.913 * [backup-simplify]: Simplify (* 1 1) into 1 9.913 * [backup-simplify]: Simplify (* 1 1) into 1 9.914 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 9.914 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 5/32 (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) in x 9.914 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 5/32) (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4)))) 9.914 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 5/32) in x 9.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.914 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.914 * [taylor]: Taking taylor expansion of x in x 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify 1 into 1 9.914 * [backup-simplify]: Simplify (* 1 1) into 1 9.914 * [backup-simplify]: Simplify (* 1 1) into 1 9.915 * [backup-simplify]: Simplify (* 1 1) into 1 9.915 * [backup-simplify]: Simplify (/ 1 1) into 1 9.915 * [taylor]: Taking taylor expansion of 5/32 in x 9.915 * [backup-simplify]: Simplify 5/32 into 5/32 9.915 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in x 9.915 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) 1/4) (/ -3/16 (pow x 4))) 9.915 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) 1/4) in x 9.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.915 * [taylor]: Taking taylor expansion of x in x 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify 1 into 1 9.915 * [backup-simplify]: Simplify (* 1 1) into 1 9.915 * [backup-simplify]: Simplify (/ 1 1) into 1 9.915 * [taylor]: Taking taylor expansion of 1/4 in x 9.915 * [backup-simplify]: Simplify 1/4 into 1/4 9.916 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 9.916 * [taylor]: Taking taylor expansion of -3/16 in x 9.916 * [backup-simplify]: Simplify -3/16 into -3/16 9.916 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.916 * [taylor]: Taking taylor expansion of x in x 9.916 * [backup-simplify]: Simplify 0 into 0 9.916 * [backup-simplify]: Simplify 1 into 1 9.916 * [backup-simplify]: Simplify (* 1 1) into 1 9.916 * [backup-simplify]: Simplify (* 1 1) into 1 9.916 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 9.917 * [backup-simplify]: Simplify (* 1 5/32) into 5/32 9.917 * [backup-simplify]: Simplify (+ 5/32 0) into 5/32 9.917 * [backup-simplify]: Simplify 5/32 into 5/32 9.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 5/32)) into 0 9.919 * [backup-simplify]: Simplify (+ 0 0) into 0 9.919 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 5/32))) into 0 9.923 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.923 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.923 * [backup-simplify]: Simplify -3/16 into -3/16 9.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 5/32)))) into 0 9.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)))) into 0 9.928 * [backup-simplify]: Simplify (+ 0 0) into 0 9.928 * [backup-simplify]: Simplify (+ 0 0) into 0 9.928 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 5/32))))) into 0 9.932 * [backup-simplify]: Simplify (* 1 1/4) into 1/4 9.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.934 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.934 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.934 * [backup-simplify]: Simplify 1/4 into 1/4 9.935 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (/ 1 (- x))) 2)) (+ (* -3/16 (pow (/ 1 (/ 1 (- x))) 4)) (* 5/32 (pow (/ 1 (/ 1 (- x))) 6)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 9.935 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3) 9.935 * [backup-simplify]: Simplify (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))) into (fma (pow x 2) 1/4 (* -3/16 (pow x 4))) 9.935 * [approximate]: Taking taylor expansion of (fma (pow x 2) 1/4 (* -3/16 (pow x 4))) in (x) around 0 9.935 * [taylor]: Taking taylor expansion of (fma (pow x 2) 1/4 (* -3/16 (pow x 4))) in x 9.935 * [taylor]: Rewrote expression to (+ (* (pow x 2) 1/4) (* -3/16 (pow x 4))) 9.935 * [taylor]: Taking taylor expansion of (* (pow x 2) 1/4) in x 9.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.935 * [taylor]: Taking taylor expansion of x in x 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [taylor]: Taking taylor expansion of 1/4 in x 9.935 * [backup-simplify]: Simplify 1/4 into 1/4 9.935 * [taylor]: Taking taylor expansion of (* -3/16 (pow x 4)) in x 9.935 * [taylor]: Taking taylor expansion of -3/16 in x 9.935 * [backup-simplify]: Simplify -3/16 into -3/16 9.935 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.935 * [taylor]: Taking taylor expansion of x in x 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [taylor]: Taking taylor expansion of (fma (pow x 2) 1/4 (* -3/16 (pow x 4))) in x 9.935 * [taylor]: Rewrote expression to (+ (* (pow x 2) 1/4) (* -3/16 (pow x 4))) 9.935 * [taylor]: Taking taylor expansion of (* (pow x 2) 1/4) in x 9.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.935 * [taylor]: Taking taylor expansion of x in x 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [taylor]: Taking taylor expansion of 1/4 in x 9.935 * [backup-simplify]: Simplify 1/4 into 1/4 9.935 * [taylor]: Taking taylor expansion of (* -3/16 (pow x 4)) in x 9.935 * [taylor]: Taking taylor expansion of -3/16 in x 9.935 * [backup-simplify]: Simplify -3/16 into -3/16 9.935 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.935 * [taylor]: Taking taylor expansion of x in x 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.936 * [backup-simplify]: Simplify (* 1 1) into 1 9.936 * [backup-simplify]: Simplify (* 1 1/4) into 1/4 9.936 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.937 * [backup-simplify]: Simplify 1/4 into 1/4 9.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/4)) into 0 9.938 * [backup-simplify]: Simplify (+ 0 0) into 0 9.938 * [backup-simplify]: Simplify 0 into 0 9.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/4))) into 0 9.941 * [backup-simplify]: Simplify (* 1 1) into 1 9.941 * [backup-simplify]: Simplify (* 1 1) into 1 9.941 * [backup-simplify]: Simplify (* -3/16 1) into -3/16 9.942 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.942 * [backup-simplify]: Simplify -3/16 into -3/16 9.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) into 0 9.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.947 * [backup-simplify]: Simplify (+ (* -3/16 0) (* 0 1)) into 0 9.947 * [backup-simplify]: Simplify (+ 0 0) into 0 9.947 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4))))) into 0 9.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.953 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (* 0 1))) into 0 9.953 * [backup-simplify]: Simplify (+ 0 0) into 0 9.953 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))))) into 0 9.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.959 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.960 * [backup-simplify]: Simplify (+ 0 0) into 0 9.960 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4))))))) into 0 9.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.975 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.976 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [backup-simplify]: Simplify 0 into 0 9.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))))))) into 0 9.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.983 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.983 * [backup-simplify]: Simplify (+ 0 0) into 0 9.983 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4))))))))) into 0 9.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.988 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.988 * [backup-simplify]: Simplify (+ 0 0) into 0 9.988 * [backup-simplify]: Simplify 0 into 0 9.988 * [backup-simplify]: Simplify (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2))) into (- (* 1/4 (pow x 2)) (* 3/16 (pow x 4))) 9.989 * [backup-simplify]: Simplify (fma (* (/ 1 x) (/ 1 x)) 1/4 (* -3/16 (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))))) into (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) 9.989 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in (x) around 0 9.989 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in x 9.989 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) 1/4) (/ -3/16 (pow x 4))) 9.989 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) 1/4) in x 9.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.989 * [taylor]: Taking taylor expansion of x in x 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 1 into 1 9.989 * [backup-simplify]: Simplify (* 1 1) into 1 9.989 * [backup-simplify]: Simplify (/ 1 1) into 1 9.989 * [taylor]: Taking taylor expansion of 1/4 in x 9.989 * [backup-simplify]: Simplify 1/4 into 1/4 9.989 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 9.989 * [taylor]: Taking taylor expansion of -3/16 in x 9.989 * [backup-simplify]: Simplify -3/16 into -3/16 9.989 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.990 * [taylor]: Taking taylor expansion of x in x 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify 1 into 1 9.990 * [backup-simplify]: Simplify (* 1 1) into 1 9.990 * [backup-simplify]: Simplify (* 1 1) into 1 9.990 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 9.990 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in x 9.990 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) 1/4) (/ -3/16 (pow x 4))) 9.990 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) 1/4) in x 9.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.990 * [taylor]: Taking taylor expansion of x in x 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify 1 into 1 9.991 * [backup-simplify]: Simplify (* 1 1) into 1 9.991 * [backup-simplify]: Simplify (/ 1 1) into 1 9.991 * [taylor]: Taking taylor expansion of 1/4 in x 9.991 * [backup-simplify]: Simplify 1/4 into 1/4 9.991 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 9.991 * [taylor]: Taking taylor expansion of -3/16 in x 9.991 * [backup-simplify]: Simplify -3/16 into -3/16 9.991 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.991 * [taylor]: Taking taylor expansion of x in x 9.991 * [backup-simplify]: Simplify 0 into 0 9.991 * [backup-simplify]: Simplify 1 into 1 9.991 * [backup-simplify]: Simplify (* 1 1) into 1 9.992 * [backup-simplify]: Simplify (* 1 1) into 1 9.992 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 9.992 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 9.992 * [backup-simplify]: Simplify -3/16 into -3/16 9.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)))) into 0 9.994 * [backup-simplify]: Simplify (+ 0 0) into 0 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify (* 1 1/4) into 1/4 9.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.996 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.996 * [backup-simplify]: Simplify 1/4 into 1/4 9.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/4)) into 0 9.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ 0 0) into 0 9.999 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/4))) into 0 10.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.003 * [backup-simplify]: Simplify (+ 0 0) into 0 10.003 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) into 0 10.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.008 * [backup-simplify]: Simplify (+ 0 0) into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4))))) into 0 10.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify (+ 0 0) into 0 10.016 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))))) into 0 10.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 10.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 10.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.024 * [backup-simplify]: Simplify (+ 0 0) into 0 10.024 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4))))))) into 0 10.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 10.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 10.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.030 * [backup-simplify]: Simplify (+ 0 0) into 0 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (/ 1 x)) 2)) (* -3/16 (pow (/ 1 (/ 1 x)) 4))) into (- (* 1/4 (pow x 2)) (* 3/16 (pow x 4))) 10.030 * [backup-simplify]: Simplify (fma (* (/ 1 (- x)) (/ 1 (- x))) 1/4 (* -3/16 (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) 10.030 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in (x) around 0 10.030 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in x 10.030 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) 1/4) (/ -3/16 (pow x 4))) 10.031 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) 1/4) in x 10.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.031 * [taylor]: Taking taylor expansion of x in x 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (* 1 1) into 1 10.031 * [backup-simplify]: Simplify (/ 1 1) into 1 10.031 * [taylor]: Taking taylor expansion of 1/4 in x 10.031 * [backup-simplify]: Simplify 1/4 into 1/4 10.031 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 10.031 * [taylor]: Taking taylor expansion of -3/16 in x 10.031 * [backup-simplify]: Simplify -3/16 into -3/16 10.031 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.031 * [taylor]: Taking taylor expansion of x in x 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (* 1 1) into 1 10.032 * [backup-simplify]: Simplify (* 1 1) into 1 10.032 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 10.032 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 2)) 1/4 (/ -3/16 (pow x 4))) in x 10.032 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 2)) 1/4) (/ -3/16 (pow x 4))) 10.032 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) 1/4) in x 10.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 10.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 10.032 * [taylor]: Taking taylor expansion of x in x 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 1 into 1 10.032 * [backup-simplify]: Simplify (* 1 1) into 1 10.033 * [backup-simplify]: Simplify (/ 1 1) into 1 10.033 * [taylor]: Taking taylor expansion of 1/4 in x 10.033 * [backup-simplify]: Simplify 1/4 into 1/4 10.033 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 10.033 * [taylor]: Taking taylor expansion of -3/16 in x 10.033 * [backup-simplify]: Simplify -3/16 into -3/16 10.033 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.033 * [taylor]: Taking taylor expansion of x in x 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 1 into 1 10.033 * [backup-simplify]: Simplify (* 1 1) into 1 10.033 * [backup-simplify]: Simplify (* 1 1) into 1 10.034 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 10.034 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 10.034 * [backup-simplify]: Simplify -3/16 into -3/16 10.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)))) into 0 10.036 * [backup-simplify]: Simplify (+ 0 0) into 0 10.036 * [backup-simplify]: Simplify 0 into 0 10.036 * [backup-simplify]: Simplify (* 1 1/4) into 1/4 10.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 10.038 * [backup-simplify]: Simplify 1/4 into 1/4 10.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/4)) into 0 10.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.041 * [backup-simplify]: Simplify (+ 0 0) into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/4))) into 0 10.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.045 * [backup-simplify]: Simplify (+ 0 0) into 0 10.045 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) into 0 10.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.050 * [backup-simplify]: Simplify (+ 0 0) into 0 10.050 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4))))) into 0 10.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.057 * [backup-simplify]: Simplify (+ 0 0) into 0 10.057 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))))) into 0 10.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 10.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 10.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.067 * [backup-simplify]: Simplify (+ 0 0) into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4))))))) into 0 10.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 10.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 10.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.078 * [backup-simplify]: Simplify (+ 0 0) into 0 10.078 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (/ 1 (- x))) 2)) (* -3/16 (pow (/ 1 (/ 1 (- x))) 4))) into (- (* 1/4 (pow x 2)) (* 3/16 (pow x 4))) 10.079 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 10.079 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 x)))) into (/ 1/2 (hypot 1 x)) 10.079 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 10.079 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 10.079 * [taylor]: Taking taylor expansion of 1/2 in x 10.079 * [backup-simplify]: Simplify 1/2 into 1/2 10.079 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.079 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.079 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.079 * [taylor]: Taking taylor expansion of 1 in x 10.079 * [backup-simplify]: Simplify 1 into 1 10.079 * [taylor]: Taking taylor expansion of 1 in x 10.079 * [backup-simplify]: Simplify 1 into 1 10.079 * [taylor]: Taking taylor expansion of (* x x) in x 10.079 * [taylor]: Taking taylor expansion of x in x 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 1 into 1 10.079 * [taylor]: Taking taylor expansion of x in x 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify 1 into 1 10.080 * [backup-simplify]: Simplify (* 1 1) into 1 10.080 * [backup-simplify]: Simplify (* 0 0) into 0 10.081 * [backup-simplify]: Simplify (+ 1 0) into 1 10.081 * [backup-simplify]: Simplify (sqrt 1) into 1 10.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.082 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.089 * [backup-simplify]: Simplify (+ 0 0) into 0 10.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.091 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 10.091 * [taylor]: Taking taylor expansion of 1/2 in x 10.091 * [backup-simplify]: Simplify 1/2 into 1/2 10.091 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.091 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.091 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.091 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.091 * [taylor]: Taking taylor expansion of 1 in x 10.091 * [backup-simplify]: Simplify 1 into 1 10.091 * [taylor]: Taking taylor expansion of 1 in x 10.091 * [backup-simplify]: Simplify 1 into 1 10.091 * [taylor]: Taking taylor expansion of (* x x) in x 10.091 * [taylor]: Taking taylor expansion of x in x 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify 1 into 1 10.091 * [taylor]: Taking taylor expansion of x in x 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify 1 into 1 10.092 * [backup-simplify]: Simplify (* 1 1) into 1 10.092 * [backup-simplify]: Simplify (* 0 0) into 0 10.092 * [backup-simplify]: Simplify (+ 1 0) into 1 10.093 * [backup-simplify]: Simplify (sqrt 1) into 1 10.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.094 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.095 * [backup-simplify]: Simplify 1/2 into 1/2 10.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.096 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.098 * [backup-simplify]: Simplify (+ 0 1) into 1 10.099 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 10.100 * [backup-simplify]: Simplify -1/4 into -1/4 10.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.102 * [backup-simplify]: Simplify (+ 0 0) into 0 10.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 10.110 * [backup-simplify]: Simplify 0 into 0 10.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.113 * [backup-simplify]: Simplify (+ 0 0) into 0 10.114 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 10.116 * [backup-simplify]: Simplify 3/16 into 3/16 10.117 * [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))) 10.117 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 (/ 1 x))))) into (/ 1/2 (hypot 1 (/ 1 x))) 10.117 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 10.117 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 10.117 * [taylor]: Taking taylor expansion of 1/2 in x 10.117 * [backup-simplify]: Simplify 1/2 into 1/2 10.117 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.117 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.117 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.117 * [taylor]: Taking taylor expansion of 1 in x 10.117 * [backup-simplify]: Simplify 1 into 1 10.117 * [taylor]: Taking taylor expansion of 1 in x 10.117 * [backup-simplify]: Simplify 1 into 1 10.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.117 * [taylor]: Taking taylor expansion of x in x 10.117 * [backup-simplify]: Simplify 0 into 0 10.117 * [backup-simplify]: Simplify 1 into 1 10.118 * [backup-simplify]: Simplify (/ 1 1) into 1 10.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.118 * [taylor]: Taking taylor expansion of x in x 10.118 * [backup-simplify]: Simplify 0 into 0 10.118 * [backup-simplify]: Simplify 1 into 1 10.118 * [backup-simplify]: Simplify (/ 1 1) into 1 10.119 * [backup-simplify]: Simplify (* 1 1) into 1 10.119 * [backup-simplify]: Simplify (+ 0 1) into 1 10.120 * [backup-simplify]: Simplify (sqrt 1) into 1 10.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.122 * [backup-simplify]: Simplify (+ 0 0) into 0 10.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.123 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 10.124 * [taylor]: Taking taylor expansion of 1/2 in x 10.124 * [backup-simplify]: Simplify 1/2 into 1/2 10.124 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.124 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.124 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.124 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.124 * [taylor]: Taking taylor expansion of 1 in x 10.124 * [backup-simplify]: Simplify 1 into 1 10.124 * [taylor]: Taking taylor expansion of 1 in x 10.124 * [backup-simplify]: Simplify 1 into 1 10.124 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.124 * [taylor]: Taking taylor expansion of x in x 10.124 * [backup-simplify]: Simplify 0 into 0 10.124 * [backup-simplify]: Simplify 1 into 1 10.124 * [backup-simplify]: Simplify (/ 1 1) into 1 10.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.124 * [taylor]: Taking taylor expansion of x in x 10.124 * [backup-simplify]: Simplify 0 into 0 10.125 * [backup-simplify]: Simplify 1 into 1 10.125 * [backup-simplify]: Simplify (/ 1 1) into 1 10.125 * [backup-simplify]: Simplify (* 1 1) into 1 10.126 * [backup-simplify]: Simplify (+ 0 1) into 1 10.126 * [backup-simplify]: Simplify (sqrt 1) into 1 10.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.129 * [backup-simplify]: Simplify (+ 0 0) into 0 10.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.131 * [backup-simplify]: Simplify 1/2 into 1/2 10.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.131 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify (* 1 1) into 1 10.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.135 * [backup-simplify]: Simplify (+ 1 0) into 1 10.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 10.138 * [backup-simplify]: Simplify -1/4 into -1/4 10.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.142 * [backup-simplify]: Simplify (+ 0 0) into 0 10.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 10.145 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.150 * [backup-simplify]: Simplify (+ 0 0) into 0 10.151 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 10.153 * [backup-simplify]: Simplify 3/16 into 3/16 10.154 * [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)))) 10.154 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (/ 1/2 (hypot 1 (/ -1 x))) 10.154 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 10.154 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 10.154 * [taylor]: Taking taylor expansion of 1/2 in x 10.154 * [backup-simplify]: Simplify 1/2 into 1/2 10.154 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.154 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.154 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.154 * [taylor]: Taking taylor expansion of 1 in x 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [taylor]: Taking taylor expansion of 1 in x 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.154 * [taylor]: Taking taylor expansion of -1 in x 10.154 * [backup-simplify]: Simplify -1 into -1 10.154 * [taylor]: Taking taylor expansion of x in x 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.155 * [backup-simplify]: Simplify (/ -1 1) into -1 10.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.155 * [taylor]: Taking taylor expansion of -1 in x 10.155 * [backup-simplify]: Simplify -1 into -1 10.155 * [taylor]: Taking taylor expansion of x in x 10.155 * [backup-simplify]: Simplify 0 into 0 10.155 * [backup-simplify]: Simplify 1 into 1 10.155 * [backup-simplify]: Simplify (/ -1 1) into -1 10.156 * [backup-simplify]: Simplify (* -1 -1) into 1 10.156 * [backup-simplify]: Simplify (+ 0 1) into 1 10.157 * [backup-simplify]: Simplify (sqrt 1) into 1 10.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.159 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.160 * [backup-simplify]: Simplify (+ 0 0) into 0 10.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.161 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.161 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 10.161 * [taylor]: Taking taylor expansion of 1/2 in x 10.161 * [backup-simplify]: Simplify 1/2 into 1/2 10.161 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.161 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.161 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.161 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.161 * [taylor]: Taking taylor expansion of 1 in x 10.161 * [backup-simplify]: Simplify 1 into 1 10.161 * [taylor]: Taking taylor expansion of 1 in x 10.161 * [backup-simplify]: Simplify 1 into 1 10.161 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.161 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.161 * [taylor]: Taking taylor expansion of -1 in x 10.161 * [backup-simplify]: Simplify -1 into -1 10.161 * [taylor]: Taking taylor expansion of x in x 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify 1 into 1 10.162 * [backup-simplify]: Simplify (/ -1 1) into -1 10.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.162 * [taylor]: Taking taylor expansion of -1 in x 10.162 * [backup-simplify]: Simplify -1 into -1 10.162 * [taylor]: Taking taylor expansion of x in x 10.162 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify 1 into 1 10.163 * [backup-simplify]: Simplify (/ -1 1) into -1 10.163 * [backup-simplify]: Simplify (* -1 -1) into 1 10.163 * [backup-simplify]: Simplify (+ 0 1) into 1 10.164 * [backup-simplify]: Simplify (sqrt 1) into 1 10.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.166 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.167 * [backup-simplify]: Simplify (+ 0 0) into 0 10.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.168 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.168 * [backup-simplify]: Simplify 1/2 into 1/2 10.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.169 * [backup-simplify]: Simplify 0 into 0 10.170 * [backup-simplify]: Simplify (* 1 1) into 1 10.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.173 * [backup-simplify]: Simplify (+ 1 0) into 1 10.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 10.176 * [backup-simplify]: Simplify -1/4 into -1/4 10.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.180 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.180 * [backup-simplify]: Simplify (+ 0 0) into 0 10.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 10.183 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 10.188 * [backup-simplify]: Simplify (+ 0 0) into 0 10.190 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 10.192 * [backup-simplify]: Simplify 3/16 into 3/16 10.192 * [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)))) 10.192 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 3 3) 10.192 * [backup-simplify]: Simplify (* -3/16 (* (* x x) (* x x))) into (* -3/16 (pow x 4)) 10.192 * [approximate]: Taking taylor expansion of (* -3/16 (pow x 4)) in (x) around 0 10.192 * [taylor]: Taking taylor expansion of (* -3/16 (pow x 4)) in x 10.193 * [taylor]: Taking taylor expansion of -3/16 in x 10.193 * [backup-simplify]: Simplify -3/16 into -3/16 10.193 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.193 * [taylor]: Taking taylor expansion of x in x 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 1 into 1 10.193 * [taylor]: Taking taylor expansion of (* -3/16 (pow x 4)) in x 10.193 * [taylor]: Taking taylor expansion of -3/16 in x 10.193 * [backup-simplify]: Simplify -3/16 into -3/16 10.193 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.193 * [taylor]: Taking taylor expansion of x in x 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 1 into 1 10.193 * [backup-simplify]: Simplify (* 1 1) into 1 10.194 * [backup-simplify]: Simplify (* 1 1) into 1 10.194 * [backup-simplify]: Simplify (* -3/16 1) into -3/16 10.194 * [backup-simplify]: Simplify -3/16 into -3/16 10.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.196 * [backup-simplify]: Simplify (+ (* -3/16 0) (* 0 1)) into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.199 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (* 0 1))) into 0 10.200 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.203 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.203 * [backup-simplify]: Simplify 0 into 0 10.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.207 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.207 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.212 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.213 * [backup-simplify]: Simplify 0 into 0 10.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.218 * [backup-simplify]: Simplify (+ (* -3/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.218 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify (* -3/16 (pow x 4)) into (* -3/16 (pow x 4)) 10.219 * [backup-simplify]: Simplify (* -3/16 (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x)))) into (/ -3/16 (pow x 4)) 10.219 * [approximate]: Taking taylor expansion of (/ -3/16 (pow x 4)) in (x) around 0 10.219 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 10.219 * [taylor]: Taking taylor expansion of -3/16 in x 10.219 * [backup-simplify]: Simplify -3/16 into -3/16 10.219 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.219 * [taylor]: Taking taylor expansion of x in x 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify 1 into 1 10.219 * [backup-simplify]: Simplify (* 1 1) into 1 10.220 * [backup-simplify]: Simplify (* 1 1) into 1 10.220 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 10.220 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 10.220 * [taylor]: Taking taylor expansion of -3/16 in x 10.220 * [backup-simplify]: Simplify -3/16 into -3/16 10.220 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.220 * [taylor]: Taking taylor expansion of x in x 10.220 * [backup-simplify]: Simplify 0 into 0 10.220 * [backup-simplify]: Simplify 1 into 1 10.221 * [backup-simplify]: Simplify (* 1 1) into 1 10.221 * [backup-simplify]: Simplify (* 1 1) into 1 10.222 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 10.222 * [backup-simplify]: Simplify -3/16 into -3/16 10.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)))) into 0 10.224 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.227 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.231 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.235 * [backup-simplify]: Simplify 0 into 0 10.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.239 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.252 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify (* -3/16 (pow (/ 1 (/ 1 x)) 4)) into (* -3/16 (pow x 4)) 10.252 * [backup-simplify]: Simplify (* -3/16 (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ -3/16 (pow x 4)) 10.253 * [approximate]: Taking taylor expansion of (/ -3/16 (pow x 4)) in (x) around 0 10.253 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 10.253 * [taylor]: Taking taylor expansion of -3/16 in x 10.253 * [backup-simplify]: Simplify -3/16 into -3/16 10.253 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.253 * [taylor]: Taking taylor expansion of x in x 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 1 into 1 10.253 * [backup-simplify]: Simplify (* 1 1) into 1 10.254 * [backup-simplify]: Simplify (* 1 1) into 1 10.254 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 10.254 * [taylor]: Taking taylor expansion of (/ -3/16 (pow x 4)) in x 10.254 * [taylor]: Taking taylor expansion of -3/16 in x 10.254 * [backup-simplify]: Simplify -3/16 into -3/16 10.254 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.254 * [taylor]: Taking taylor expansion of x in x 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 1 into 1 10.255 * [backup-simplify]: Simplify (* 1 1) into 1 10.255 * [backup-simplify]: Simplify (* 1 1) into 1 10.256 * [backup-simplify]: Simplify (/ -3/16 1) into -3/16 10.256 * [backup-simplify]: Simplify -3/16 into -3/16 10.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)))) into 0 10.259 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.262 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.266 * [backup-simplify]: Simplify 0 into 0 10.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.274 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify (* -3/16 (pow (/ 1 (/ 1 (- x))) 4)) into (* -3/16 (pow x 4)) 10.280 * * * [progress]: simplifying candidates 10.280 * * * * [progress]: [ 1 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 2 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 3 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 4 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 5 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 6 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 7 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 8 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 9 / 93 ] simplifiying candidate # 10.280 * * * * [progress]: [ 10 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 11 / 93 ] simplifiying candidate #real (real->posit16 (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))))) (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 x)))) 1/2)))))> 10.281 * * * * [progress]: [ 12 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 13 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 14 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 15 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 16 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 17 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 18 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 19 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 20 / 93 ] simplifiying candidate # 10.281 * * * * [progress]: [ 21 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 22 / 93 ] simplifiying candidate #real (real->posit16 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))))) (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 x)))) 1/2)))))> 10.282 * * * * [progress]: [ 23 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 24 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 25 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 26 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 27 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 28 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 29 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 30 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 31 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 32 / 93 ] simplifiying candidate # 10.282 * * * * [progress]: [ 33 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 34 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 35 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 36 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 37 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 38 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 39 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 40 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 41 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 42 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 43 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 44 / 93 ] simplifiying candidate # 10.283 * * * * [progress]: [ 45 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 46 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 47 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 48 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 49 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 50 / 93 ] simplifiying candidate #real (real->posit16 (log (exp (/ 1/2 (hypot 1 x)))))) 1/2)))))> 10.284 * * * * [progress]: [ 51 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 52 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 53 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 54 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 55 / 93 ] simplifiying candidate # 10.284 * * * * [progress]: [ 56 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 57 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 58 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 59 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 60 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 61 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 62 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 63 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 64 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 65 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 66 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 67 / 93 ] simplifiying candidate # 10.285 * * * * [progress]: [ 68 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 69 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 70 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 71 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 72 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 73 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 74 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 75 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 76 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 77 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 78 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 79 / 93 ] simplifiying candidate # 10.286 * * * * [progress]: [ 80 / 93 ] simplifiying candidate #real (real->posit16 (* -3/16 (* (* x x) (* x x))))))) (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 x)))) 1/2)))))> 10.287 * * * * [progress]: [ 81 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 82 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 83 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 84 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 85 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 86 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 87 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 88 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 89 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 90 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 91 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 92 / 93 ] simplifiying candidate # 10.287 * * * * [progress]: [ 93 / 93 ] simplifiying candidate # 10.289 * [simplify]: Simplifying: (expm1 (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (log1p (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (* (* (* (* x x) (* x x)) (* x x)) 5/32) (log (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (exp (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (* (cbrt (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (cbrt (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))))) (cbrt (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (* (* (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (sqrt (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (sqrt (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (real->posit16 (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (expm1 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (log1p (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (* (* x x) 1/4) (log (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (exp (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (* (cbrt (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (cbrt (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))))) (cbrt (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (* (* (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x)))) (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (sqrt (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (sqrt (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (real->posit16 (fma (* x x) 1/4 (* -3/16 (* (* x x) (* x x))))) (expm1 (log (exp (/ 1/2 (hypot 1 x))))) (log1p (log (exp (/ 1/2 (hypot 1 x))))) (log (* (cbrt (exp (/ 1/2 (hypot 1 x)))) (cbrt (exp (/ 1/2 (hypot 1 x)))))) (log (cbrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log 1) (log (exp (/ 1/2 (hypot 1 x)))) (log (exp (/ 1/2 (hypot 1 x)))) (log (exp (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (log (exp (sqrt (/ 1/2 (hypot 1 x))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (log (exp (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (log (exp (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (log (exp (/ (sqrt 1/2) 1))) (log (exp (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (log (exp (/ 1 (sqrt (hypot 1 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1/2)) (log (log (exp (/ 1/2 (hypot 1 x))))) (exp (log (exp (/ 1/2 (hypot 1 x))))) (* (cbrt (log (exp (/ 1/2 (hypot 1 x))))) (cbrt (log (exp (/ 1/2 (hypot 1 x)))))) (cbrt (log (exp (/ 1/2 (hypot 1 x))))) (* (* (log (exp (/ 1/2 (hypot 1 x)))) (log (exp (/ 1/2 (hypot 1 x))))) (log (exp (/ 1/2 (hypot 1 x))))) (sqrt (log (exp (/ 1/2 (hypot 1 x))))) (sqrt (log (exp (/ 1/2 (hypot 1 x))))) (real->posit16 (log (exp (/ 1/2 (hypot 1 x))))) (expm1 (* -3/16 (* (* x x) (* x x)))) (log1p (* -3/16 (* (* x x) (* x x)))) (* -3/16 (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x))) (+ (log -3/16) (+ (+ (log x) (log x)) (+ (log x) (log x)))) (+ (log -3/16) (+ (+ (log x) (log x)) (log (* x x)))) (+ (log -3/16) (+ (log (* x x)) (+ (log x) (log x)))) (+ (log -3/16) (+ (log (* x x)) (log (* x x)))) (+ (log -3/16) (log (* (* x x) (* x x)))) (log (* -3/16 (* (* x x) (* x x)))) (exp (* -3/16 (* (* x x) (* x x)))) (* (* (* -3/16 -3/16) -3/16) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))) (* (* (* -3/16 -3/16) -3/16) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))) (* (* (* -3/16 -3/16) -3/16) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x)))) (* (* (* -3/16 -3/16) -3/16) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))) (* (* (* -3/16 -3/16) -3/16) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x)))) (* (cbrt (* -3/16 (* (* x x) (* x x)))) (cbrt (* -3/16 (* (* x x) (* x x))))) (cbrt (* -3/16 (* (* x x) (* x x)))) (* (* (* -3/16 (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x)))) (* -3/16 (* (* x x) (* x x)))) (sqrt (* -3/16 (* (* x x) (* x x)))) (sqrt (* -3/16 (* (* x x) (* x x)))) (* (sqrt -3/16) (* x x)) (* (sqrt -3/16) (* x x)) (* -3/16 (* x x)) (* (cbrt -3/16) (* (* x x) (* x x))) (* (sqrt -3/16) (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x))) (real->posit16 (* -3/16 (* (* x x) (* x x)))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (* 1/4 (pow x 2)) (* 3/16 (pow x 4))) (- (* 1/4 (pow x 2)) (* 3/16 (pow x 4))) (- (* 1/4 (pow x 2)) (* 3/16 (pow x 4))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (* -3/16 (pow x 4)) (* -3/16 (pow x 4)) (* -3/16 (pow x 4)) 10.292 * * [simplify]: iteration 1: (173 enodes) 10.361 * * [simplify]: iteration 2: (630 enodes) 10.595 * * [simplify]: iteration 3: (1210 enodes) 11.259 * * [simplify]: Extracting #0: cost 63 inf + 0 11.260 * * [simplify]: Extracting #1: cost 376 inf + 3 11.263 * * [simplify]: Extracting #2: cost 829 inf + 2436 11.290 * * [simplify]: Extracting #3: cost 444 inf + 85517 11.348 * * [simplify]: Extracting #4: cost 59 inf + 190207 11.412 * * [simplify]: Extracting #5: cost 7 inf + 204475 11.491 * * [simplify]: Extracting #6: cost 1 inf + 206047 11.548 * * [simplify]: Extracting #7: cost 0 inf + 206405 11.636 * [simplify]: Simplified to: (expm1 (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (log1p (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (* 5/32 (* (* x (* x x)) (* x (* x x)))) (log (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (exp (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (* (cbrt (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (cbrt (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x)))))))) (cbrt (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (* (* (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x)))))) (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (sqrt (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (sqrt (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (real->posit16 (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x))))))) (expm1 (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (log1p (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (* (* x x) 1/4) (log (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (exp (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (* (cbrt (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (cbrt (* (* x x) (+ (* -3/16 (* x x)) 1/4)))) (cbrt (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (* (* (* (* x x) (+ (* -3/16 (* x x)) 1/4)) (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (sqrt (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (sqrt (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (real->posit16 (* (* x x) (+ (* -3/16 (* x x)) 1/4))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (* (cbrt (exp (/ 1/2 (hypot 1 x)))) (cbrt (exp (/ 1/2 (hypot 1 x)))))) (log (cbrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) 0 (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) 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(* 5/32 (* (* x x) (* x x)))))) (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x)))))) (fma (* (* x x) (* x x)) -3/16 (* (* x x) (+ 1/4 (* 5/32 (* (* x x) (* x x)))))) (* (* x x) (+ (* -3/16 (* x x)) 1/4)) (* (* x x) (+ (* -3/16 (* x x)) 1/4)) (* (* x x) (+ (* -3/16 (* x x)) 1/4)) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1/2)) (+ (/ 1/2 x) (+ (/ -1/4 (* x (* x x))) (/ 3/16 (* (* x x) (* x (* x x)))))) (+ (/ -1/2 x) (+ (/ -3/16 (* (* x x) (* x (* x x)))) (/ (/ 1/4 x) (* x x)))) (* -3/16 (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x))) 11.655 * * * [progress]: adding candidates to table 13.039 * [progress]: [Phase 3 of 3] Extracting. 13.039 * * [regime]: Finding splitpoints for: (# #) 13.040 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 13.040 * * * * [regimes]: Trying to branch on x from (# #) 13.071 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 13.123 * * * [regime]: Found split indices: #