0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.108 * * * [progress]: [2/2] Setting up program. 0.114 * [progress]: [Phase 2 of 3] Improving. 0.114 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.114 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.114 * * [simplify]: iteration 1: (9 enodes) 0.121 * * [simplify]: iteration 2: (39 enodes) 0.133 * * [simplify]: iteration 3: (51 enodes) 0.143 * * [simplify]: iteration 4: (53 enodes) 0.149 * * [simplify]: Extracting #0: cost 1 inf + 0 0.149 * * [simplify]: Extracting #1: cost 5 inf + 0 0.149 * * [simplify]: Extracting #2: cost 7 inf + 1 0.149 * * [simplify]: Extracting #3: cost 12 inf + 1 0.149 * * [simplify]: Extracting #4: cost 15 inf + 2 0.149 * * [simplify]: Extracting #5: cost 17 inf + 2 0.149 * * [simplify]: Extracting #6: cost 15 inf + 60 0.150 * * [simplify]: Extracting #7: cost 6 inf + 1143 0.150 * * [simplify]: Extracting #8: cost 0 inf + 2360 0.150 * * [simplify]: Extracting #9: cost 0 inf + 2285 0.151 * [simplify]: Simplified to: (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.157 * * [progress]: iteration 1 / 4 0.157 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.191 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.263 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.279 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.283 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.293 * * * [progress]: generating series expansions 0.293 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.294 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.294 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.294 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.294 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.294 * [taylor]: Taking taylor expansion of 1/2 in x 0.294 * [backup-simplify]: Simplify 1/2 into 1/2 0.294 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.294 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.294 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.294 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (* x x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (* 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (sqrt 1) into 1 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of 1/2 in x 0.297 * [backup-simplify]: Simplify 1/2 into 1/2 0.298 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.298 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.298 * [backup-simplify]: Simplify (sqrt 1) into 1 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.300 * [taylor]: Taking taylor expansion of 1 in x 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of 1/2 in x 0.300 * [backup-simplify]: Simplify 1/2 into 1/2 0.300 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.300 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.300 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.300 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.300 * [taylor]: Taking taylor expansion of 1 in x 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of 1 in x 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of (* x x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (* 0 0) into 0 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1/2 in x 0.303 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.304 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.308 * [backup-simplify]: Simplify (- 1) into -1 0.308 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.311 * [backup-simplify]: Simplify (+ 0 1) into 1 0.312 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.318 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.319 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.320 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.320 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.321 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.321 * [backup-simplify]: Simplify 1/8 into 1/8 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.339 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.339 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.341 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.341 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.341 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.341 * [backup-simplify]: Simplify -11/128 into -11/128 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.361 * [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 0.364 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.364 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.366 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.367 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.367 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.367 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.368 * [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))) 0.368 * [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))) 0.368 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.368 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.368 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.368 * [taylor]: Taking taylor expansion of 1/2 in x 0.368 * [backup-simplify]: Simplify 1/2 into 1/2 0.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.368 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of 1 in x 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ 0 1) into 1 0.371 * [backup-simplify]: Simplify (sqrt 1) into 1 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 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 0.374 * [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 0.375 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.375 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.376 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.376 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.378 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.378 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.378 * [taylor]: Taking taylor expansion of 1 in x 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.378 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.378 * [taylor]: Taking taylor expansion of 1/2 in x 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.378 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.378 * [taylor]: Taking taylor expansion of 1 in x 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [taylor]: Taking taylor expansion of 1 in x 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (+ 0 1) into 1 0.381 * [backup-simplify]: Simplify (sqrt 1) into 1 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of 1/2 in x 0.384 * [backup-simplify]: Simplify 1/2 into 1/2 0.385 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.385 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.386 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.386 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.388 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.389 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.390 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.391 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.393 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.396 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.399 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.409 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.412 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.413 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.417 * [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))) 0.417 * [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))) 0.417 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.417 * [taylor]: Taking taylor expansion of 1 in x 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.417 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.417 * [taylor]: Taking taylor expansion of 1/2 in x 0.417 * [backup-simplify]: Simplify 1/2 into 1/2 0.417 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.417 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.417 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.417 * [taylor]: Taking taylor expansion of 1 in x 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of 1 in x 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.417 * [taylor]: Taking taylor expansion of -1 in x 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ -1 1) into -1 0.418 * [taylor]: Taking taylor expansion of (/ -1 x) 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 x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ -1 1) into -1 0.418 * [backup-simplify]: Simplify (* -1 -1) into 1 0.418 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (sqrt 1) into 1 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [taylor]: Taking taylor expansion of 1/2 in x 0.421 * [backup-simplify]: Simplify 1/2 into 1/2 0.422 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.422 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.422 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.422 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.423 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.423 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.423 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (hypot 1 (/ -1 x))) in x 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 -1 in x 0.424 * [backup-simplify]: Simplify -1 into -1 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 0.424 * [backup-simplify]: Simplify (/ -1 1) into -1 0.424 * [taylor]: Taking taylor expansion of (/ -1 x) 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 x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ -1 1) into -1 0.425 * [backup-simplify]: Simplify (* -1 -1) into 1 0.425 * [backup-simplify]: Simplify (+ 0 1) into 1 0.425 * [backup-simplify]: Simplify (sqrt 1) into 1 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of 1/2 in x 0.428 * [backup-simplify]: Simplify 1/2 into 1/2 0.428 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.428 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.429 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.429 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.430 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.430 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.431 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.432 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.433 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.435 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.437 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.444 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.447 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.448 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.452 * [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)) 0.452 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.452 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.452 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.452 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.452 * [taylor]: Taking taylor expansion of 1/2 in x 0.452 * [backup-simplify]: Simplify 1/2 into 1/2 0.452 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.452 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.452 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.452 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of (* x x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (* 0 0) into 0 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.453 * [backup-simplify]: Simplify (sqrt 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [taylor]: Taking taylor expansion of 1/2 in x 0.455 * [backup-simplify]: Simplify 1/2 into 1/2 0.455 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.456 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.456 * [backup-simplify]: Simplify (sqrt 1) into 1 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.458 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.458 * [taylor]: Taking taylor expansion of 1/2 in x 0.458 * [backup-simplify]: Simplify 1/2 into 1/2 0.458 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.458 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.458 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.458 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.458 * [taylor]: Taking taylor expansion of 1 in x 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of 1 in x 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of (* x x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (* 0 0) into 0 0.459 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [backup-simplify]: Simplify (sqrt 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of 1/2 in x 0.461 * [backup-simplify]: Simplify 1/2 into 1/2 0.461 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.461 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.462 * [backup-simplify]: Simplify (sqrt 1) into 1 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.466 * [backup-simplify]: Simplify (+ 0 1) into 1 0.467 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.470 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.470 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.472 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.472 * [backup-simplify]: Simplify -1/8 into -1/8 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.489 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.489 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.491 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.491 * [backup-simplify]: Simplify 11/128 into 11/128 0.491 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 0.491 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.491 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.491 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.491 * [taylor]: Taking taylor expansion of 1/2 in x 0.491 * [backup-simplify]: Simplify 1/2 into 1/2 0.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.492 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.492 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.492 * [taylor]: Taking taylor expansion of 1 in x 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of 1 in x 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (+ 0 1) into 1 0.494 * [backup-simplify]: Simplify (sqrt 1) into 1 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [taylor]: Taking taylor expansion of 1/2 in x 0.498 * [backup-simplify]: Simplify 1/2 into 1/2 0.499 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.499 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.499 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.500 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.501 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.501 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.502 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of 1/2 in x 0.502 * [backup-simplify]: Simplify 1/2 into 1/2 0.502 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.502 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.502 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.502 * [taylor]: Taking taylor expansion of 1 in x 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of 1 in x 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (+ 0 1) into 1 0.504 * [backup-simplify]: Simplify (sqrt 1) into 1 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of 1/2 in x 0.508 * [backup-simplify]: Simplify 1/2 into 1/2 0.508 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.509 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.509 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.510 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.511 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.512 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.513 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.522 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.525 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 0.525 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.525 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.526 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.526 * [taylor]: Taking taylor expansion of 1/2 in x 0.526 * [backup-simplify]: Simplify 1/2 into 1/2 0.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.526 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.526 * [taylor]: Taking taylor expansion of 1 in x 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of 1 in x 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [backup-simplify]: Simplify -1 into -1 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ -1 1) into -1 0.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ -1 1) into -1 0.528 * [backup-simplify]: Simplify (* -1 -1) into 1 0.528 * [backup-simplify]: Simplify (+ 0 1) into 1 0.528 * [backup-simplify]: Simplify (sqrt 1) into 1 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [taylor]: Taking taylor expansion of 1/2 in x 0.532 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.533 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.534 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.534 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.536 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.536 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.536 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.536 * [taylor]: Taking taylor expansion of 1/2 in x 0.536 * [backup-simplify]: Simplify 1/2 into 1/2 0.536 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.536 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.536 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.536 * [taylor]: Taking taylor expansion of 1 in x 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of 1 in x 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.536 * [taylor]: Taking taylor expansion of -1 in x 0.536 * [backup-simplify]: Simplify -1 into -1 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ -1 1) into -1 0.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.537 * [taylor]: Taking taylor expansion of -1 in x 0.537 * [backup-simplify]: Simplify -1 into -1 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ -1 1) into -1 0.538 * [backup-simplify]: Simplify (* -1 -1) into 1 0.538 * [backup-simplify]: Simplify (+ 0 1) into 1 0.539 * [backup-simplify]: Simplify (sqrt 1) into 1 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of 1/2 in x 0.543 * [backup-simplify]: Simplify 1/2 into 1/2 0.544 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.544 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.544 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.545 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.547 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.547 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.548 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.558 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.561 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.561 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.561 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.561 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.561 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of 1/2 in x 0.561 * [backup-simplify]: Simplify 1/2 into 1/2 0.561 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.561 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.561 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.562 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.562 * [taylor]: Taking taylor expansion of 1 in x 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of 1 in x 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of (* x x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (* 0 0) into 0 0.563 * [backup-simplify]: Simplify (+ 1 0) into 1 0.563 * [backup-simplify]: Simplify (sqrt 1) into 1 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.565 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.567 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of 1/2 in x 0.567 * [backup-simplify]: Simplify 1/2 into 1/2 0.567 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.567 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.567 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.567 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.567 * [taylor]: Taking taylor expansion of 1 in x 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [taylor]: Taking taylor expansion of 1 in x 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [taylor]: Taking taylor expansion of (* x x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (* 0 0) into 0 0.568 * [backup-simplify]: Simplify (+ 1 0) into 1 0.571 * [backup-simplify]: Simplify (sqrt 1) into 1 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.574 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.574 * [backup-simplify]: Simplify 1/2 into 1/2 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.577 * [backup-simplify]: Simplify (+ 0 1) into 1 0.578 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.580 * [backup-simplify]: Simplify -1/4 into -1/4 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.591 * [backup-simplify]: Simplify 3/16 into 3/16 0.591 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 0.592 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.592 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.592 * [taylor]: Taking taylor expansion of 1/2 in x 0.592 * [backup-simplify]: Simplify 1/2 into 1/2 0.592 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.592 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.592 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.592 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.592 * [taylor]: Taking taylor expansion of 1 in x 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of 1 in x 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (+ 0 1) into 1 0.593 * [backup-simplify]: Simplify (sqrt 1) into 1 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.596 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.596 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of 1/2 in x 0.596 * [backup-simplify]: Simplify 1/2 into 1/2 0.596 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.596 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.596 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.596 * [taylor]: Taking taylor expansion of 1 in x 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [taylor]: Taking taylor expansion of 1 in x 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (/ 1 1) into 1 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [backup-simplify]: Simplify (* 1 1) into 1 0.597 * [backup-simplify]: Simplify (+ 0 1) into 1 0.597 * [backup-simplify]: Simplify (sqrt 1) into 1 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.600 * [backup-simplify]: Simplify 1/2 into 1/2 0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (* 1 1) into 1 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (+ 1 0) into 1 0.604 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.604 * [backup-simplify]: Simplify -1/4 into -1/4 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.614 * [backup-simplify]: Simplify 3/16 into 3/16 0.614 * [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)))) 0.614 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.614 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.614 * [taylor]: Taking taylor expansion of 1/2 in x 0.614 * [backup-simplify]: Simplify 1/2 into 1/2 0.614 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.614 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.614 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.614 * [taylor]: Taking taylor expansion of 1 in x 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of 1 in x 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.614 * [taylor]: Taking taylor expansion of -1 in x 0.614 * [backup-simplify]: Simplify -1 into -1 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (/ -1 1) into -1 0.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.615 * [taylor]: Taking taylor expansion of -1 in x 0.615 * [backup-simplify]: Simplify -1 into -1 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (/ -1 1) into -1 0.615 * [backup-simplify]: Simplify (* -1 -1) into 1 0.615 * [backup-simplify]: Simplify (+ 0 1) into 1 0.616 * [backup-simplify]: Simplify (sqrt 1) into 1 0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.618 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1/2 in x 0.618 * [backup-simplify]: Simplify 1/2 into 1/2 0.618 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.618 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.618 * [taylor]: Taking taylor expansion of 1 in x 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of 1 in x 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.618 * [taylor]: Taking taylor expansion of -1 in x 0.618 * [backup-simplify]: Simplify -1 into -1 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (/ -1 1) into -1 0.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.619 * [taylor]: Taking taylor expansion of -1 in x 0.619 * [backup-simplify]: Simplify -1 into -1 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (/ -1 1) into -1 0.619 * [backup-simplify]: Simplify (* -1 -1) into 1 0.620 * [backup-simplify]: Simplify (+ 0 1) into 1 0.620 * [backup-simplify]: Simplify (sqrt 1) into 1 0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.623 * [backup-simplify]: Simplify 1/2 into 1/2 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.628 * [backup-simplify]: Simplify (+ 1 0) into 1 0.629 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.630 * [backup-simplify]: Simplify -1/4 into -1/4 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.643 * [backup-simplify]: Simplify 3/16 into 3/16 0.643 * [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)))) 0.643 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.643 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.643 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.643 * [taylor]: Taking taylor expansion of 1/2 in x 0.643 * [backup-simplify]: Simplify 1/2 into 1/2 0.643 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.643 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.643 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.643 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.643 * [taylor]: Taking taylor expansion of 1 in x 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [taylor]: Taking taylor expansion of 1 in x 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [taylor]: Taking taylor expansion of (* x x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (* 1 1) into 1 0.644 * [backup-simplify]: Simplify (* 0 0) into 0 0.644 * [backup-simplify]: Simplify (+ 1 0) into 1 0.644 * [backup-simplify]: Simplify (sqrt 1) into 1 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.645 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.645 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [taylor]: Taking taylor expansion of 1/2 in x 0.646 * [backup-simplify]: Simplify 1/2 into 1/2 0.646 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.646 * [taylor]: Taking taylor expansion of 1/2 in x 0.646 * [backup-simplify]: Simplify 1/2 into 1/2 0.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.647 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.647 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.647 * [taylor]: Taking taylor expansion of 1 in x 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of 1 in x 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of (* x x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (* 0 0) into 0 0.648 * [backup-simplify]: Simplify (+ 1 0) into 1 0.648 * [backup-simplify]: Simplify (sqrt 1) into 1 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.650 * [taylor]: Taking taylor expansion of 1/2 in x 0.650 * [backup-simplify]: Simplify 1/2 into 1/2 0.650 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.650 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.650 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.653 * [backup-simplify]: Simplify (+ 0 1) into 1 0.653 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.655 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.655 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.655 * [backup-simplify]: Simplify -1/4 into -1/4 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.664 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.664 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.664 * [backup-simplify]: Simplify 3/16 into 3/16 0.664 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1)) into (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) 0.665 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.665 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.665 * [taylor]: Taking taylor expansion of 1/2 in x 0.665 * [backup-simplify]: Simplify 1/2 into 1/2 0.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.665 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.665 * [taylor]: Taking taylor expansion of 1 in x 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of 1 in x 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (+ 0 1) into 1 0.666 * [backup-simplify]: Simplify (sqrt 1) into 1 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.670 * [backup-simplify]: Simplify (/ 1 1) into 1 0.670 * [taylor]: Taking taylor expansion of 1/2 in x 0.670 * [backup-simplify]: Simplify 1/2 into 1/2 0.670 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.670 * [taylor]: Taking taylor expansion of 1/2 in x 0.670 * [backup-simplify]: Simplify 1/2 into 1/2 0.670 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.670 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.670 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (/ 1 1) into 1 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.672 * [backup-simplify]: Simplify (+ 0 1) into 1 0.673 * [backup-simplify]: Simplify (sqrt 1) into 1 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.677 * [backup-simplify]: Simplify (/ 1 1) into 1 0.677 * [taylor]: Taking taylor expansion of 1/2 in x 0.677 * [backup-simplify]: Simplify 1/2 into 1/2 0.677 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.677 * [backup-simplify]: Simplify 1/2 into 1/2 0.678 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.678 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.678 * [backup-simplify]: Simplify 1/2 into 1/2 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.687 * [backup-simplify]: Simplify (+ 1 0) into 1 0.688 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.691 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.691 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.691 * [backup-simplify]: Simplify -1/4 into -1/4 0.692 * [backup-simplify]: Simplify (+ (* -1/4 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 0.692 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.692 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.692 * [taylor]: Taking taylor expansion of 1/2 in x 0.692 * [backup-simplify]: Simplify 1/2 into 1/2 0.692 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.692 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.692 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.692 * [taylor]: Taking taylor expansion of 1 in x 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of 1 in x 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.692 * [taylor]: Taking taylor expansion of -1 in x 0.692 * [backup-simplify]: Simplify -1 into -1 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ -1 1) into -1 0.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.693 * [taylor]: Taking taylor expansion of -1 in x 0.693 * [backup-simplify]: Simplify -1 into -1 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ -1 1) into -1 0.694 * [backup-simplify]: Simplify (* -1 -1) into 1 0.695 * [backup-simplify]: Simplify (+ 0 1) into 1 0.695 * [backup-simplify]: Simplify (sqrt 1) into 1 0.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.700 * [backup-simplify]: Simplify (/ 1 1) into 1 0.700 * [taylor]: Taking taylor expansion of 1/2 in x 0.700 * [backup-simplify]: Simplify 1/2 into 1/2 0.700 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.700 * [taylor]: Taking taylor expansion of 1/2 in x 0.700 * [backup-simplify]: Simplify 1/2 into 1/2 0.700 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.700 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.701 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.701 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.701 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.701 * [taylor]: Taking taylor expansion of 1 in x 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [taylor]: Taking taylor expansion of 1 in x 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.701 * [taylor]: Taking taylor expansion of -1 in x 0.701 * [backup-simplify]: Simplify -1 into -1 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ -1 1) into -1 0.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.701 * [taylor]: Taking taylor expansion of -1 in x 0.701 * [backup-simplify]: Simplify -1 into -1 0.701 * [taylor]: Taking taylor expansion of x in x 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (/ -1 1) into -1 0.702 * [backup-simplify]: Simplify (* -1 -1) into 1 0.703 * [backup-simplify]: Simplify (+ 0 1) into 1 0.703 * [backup-simplify]: Simplify (sqrt 1) into 1 0.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [taylor]: Taking taylor expansion of 1/2 in x 0.707 * [backup-simplify]: Simplify 1/2 into 1/2 0.708 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.708 * [backup-simplify]: Simplify 1/2 into 1/2 0.709 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.709 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.709 * [backup-simplify]: Simplify 1/2 into 1/2 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (* 1 1) into 1 0.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.715 * [backup-simplify]: Simplify (+ 1 0) into 1 0.716 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.719 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.719 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.719 * [backup-simplify]: Simplify -1/4 into -1/4 0.720 * [backup-simplify]: Simplify (+ (* -1/4 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 0.720 * * * [progress]: simplifying candidates 0.720 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 0.720 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 0.720 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 0.720 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 0.720 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 0.720 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 0.720 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 0.720 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 16 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 0.721 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 0.722 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 42 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 46 / 137 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.723 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 0.723 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 0.724 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 67 / 137 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.725 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 76 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 0.725 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 0.726 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 97 / 137 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 0.727 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 103 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 105 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 0.727 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 124 / 137 ] simplifiying candidate #real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.728 * * * * [progress]: [ 125 / 137 ] simplifiying candidate # 0.728 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 0.729 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 0.732 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 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(cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (log1p (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)) (log (+ (/ 1/2 (hypot 1 x)) 1/2)) (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2))) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2)) (- (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2) (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) (- (+ (* 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) (* 1/4 (pow x 2))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 0.737 * * [simplify]: iteration 1: (213 enodes) 0.858 * * [simplify]: iteration 2: (855 enodes) 1.096 * * [simplify]: iteration 3: (1685 enodes) 1.726 * * [simplify]: Extracting #0: cost 105 inf + 0 1.736 * * [simplify]: Extracting #1: cost 516 inf + 2 1.745 * * [simplify]: Extracting #2: cost 867 inf + 9118 1.774 * * [simplify]: Extracting #3: cost 580 inf + 70558 1.829 * * [simplify]: Extracting #4: cost 239 inf + 165958 1.888 * * [simplify]: Extracting #5: cost 17 inf + 243047 1.961 * * [simplify]: Extracting #6: cost 0 inf + 249553 2.031 * [simplify]: Simplified to: (- (* (* (cbrt 1) (cbrt 1)) (cbrt 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))))) (- (* (* (cbrt 1) (cbrt 1)) (cbrt 1)) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (* (cbrt 1) (cbrt 1)) (cbrt 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))))) (- (* (* (cbrt 1) (cbrt 1)) (cbrt 1)) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (- (sqrt 1)) (sqrt 1))) (- (* (* (cbrt 1) (cbrt 1)) (cbrt 1)) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (- (sqrt 1)) (sqrt 1))) (- (* (* (cbrt 1) (cbrt 1)) (cbrt 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))))) (- (* (* (cbrt 1) (cbrt 1)) (cbrt 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))))) (- 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))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (- (sqrt 1)) (sqrt 1))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (- (sqrt 1)) (sqrt 1))) (- 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))))) (- 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))))) (- 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))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (- (sqrt 1)) (sqrt 1))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (- (sqrt 1)) (sqrt 1))) (- 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))))) (- 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))))) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (- 1 1/2) (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1)) (- (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1)) (- (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (fma (* 1/2 1/2) 1/2 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))))) (sqrt (fma (- 1/2 (/ 1/2 (hypot 1 x))) 1/2 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (* (- (/ 1/2 (hypot 1 x)) 1/2) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (/ 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 (+ 1/2 (/ 1/2 (hypot 1 x)))) (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (fma (* 1/2 1/2) 1/2 (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (fma (- 1/2 (/ 1/2 (hypot 1 x))) 1/2 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (- (/ 1/2 (hypot 1 x)) 1/2) (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (/ 1/2 (hypot 1 x)) 1/2) (+ 1/2 (/ 1/2 (hypot 1 x))) (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4))) (+ (/ (/ 1/32 (* (* x x) 1/2)) (sqrt 1/2)) (- (- 1 (sqrt 1/2)) (/ (/ 1/4 x) (sqrt 1/2)))) (+ (+ 1 (/ (/ 1/4 x) (sqrt 1/2))) (- (/ (/ 1/32 (* (* x x) 1/2)) (sqrt 1/2)) (sqrt 1/2))) (fma 11/128 (pow x 4) (- 1 (* (* x x) 1/8))) (- (+ (/ (/ 1/4 x) (sqrt 1/2)) (sqrt 1/2)) (/ (/ 1/32 (* (* x x) 1/2)) (sqrt 1/2))) (- (sqrt 1/2) (+ (/ (/ 1/32 (* (* x x) 1/2)) (sqrt 1/2)) (/ (/ 1/4 x) (sqrt 1/2)))) (- (fma 3/16 (pow x 4) 1/2) (* 1/4 (* x x))) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ (/ 1/4 x) (* x x)))) (- (/ (/ 1/4 x) (* x x)) (+ (/ 3/16 (pow x 5)) (/ 1/2 x))) (fma (pow x 4) 3/16 (- 1 (* 1/4 (* x x)))) (+ (- 1/2 (/ (/ 1/4 x) (* x x))) (/ 1/2 x)) (+ (/ (/ 1/4 x) (* x x)) (- 1/2 (/ 1/2 x))) 2.047 * * * [progress]: adding candidates to table 3.445 * * [progress]: iteration 2 / 4 3.445 * * * [progress]: picking best candidate 3.451 * * * * [pick]: Picked # 3.451 * * * [progress]: localizing error 3.482 * * * [progress]: generating rewritten candidates 3.482 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.517 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.536 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 3.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.734 * * * [progress]: generating series expansions 3.734 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.735 * [backup-simplify]: Simplify (- (- 1 1/2) (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 3.735 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 3.735 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.735 * [taylor]: Taking taylor expansion of 1/2 in x 3.735 * [backup-simplify]: Simplify 1/2 into 1/2 3.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.735 * [taylor]: Taking taylor expansion of 1/2 in x 3.735 * [backup-simplify]: Simplify 1/2 into 1/2 3.735 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.735 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.735 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.735 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.735 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.735 * [taylor]: Taking taylor expansion of 1 in x 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of 1 in x 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of (* x x) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of x in x 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (* 1 1) into 1 3.736 * [backup-simplify]: Simplify (* 0 0) into 0 3.736 * [backup-simplify]: Simplify (+ 1 0) into 1 3.737 * [backup-simplify]: Simplify (sqrt 1) into 1 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.737 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.738 * [taylor]: Taking taylor expansion of 1/2 in x 3.738 * [backup-simplify]: Simplify 1/2 into 1/2 3.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.738 * [taylor]: Taking taylor expansion of 1/2 in x 3.738 * [backup-simplify]: Simplify 1/2 into 1/2 3.738 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.738 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.738 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.738 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.738 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.738 * [taylor]: Taking taylor expansion of 1 in x 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of 1 in x 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of (* x x) in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (* 1 1) into 1 3.739 * [backup-simplify]: Simplify (* 0 0) into 0 3.739 * [backup-simplify]: Simplify (+ 1 0) into 1 3.740 * [backup-simplify]: Simplify (sqrt 1) into 1 3.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.741 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.741 * [backup-simplify]: Simplify (+ 0 0) into 0 3.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.742 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.742 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.742 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.746 * [backup-simplify]: Simplify (- 0) into 0 3.746 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.748 * [backup-simplify]: Simplify (+ 0 1) into 1 3.748 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.750 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.750 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.750 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.750 * [backup-simplify]: Simplify 1/4 into 1/4 3.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.752 * [backup-simplify]: Simplify (+ 0 0) into 0 3.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.755 * [backup-simplify]: Simplify (- 0) into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.755 * [backup-simplify]: Simplify 0 into 0 3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.757 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.759 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.760 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.760 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.760 * [backup-simplify]: Simplify -3/16 into -3/16 3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.766 * [backup-simplify]: Simplify (- 0) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.768 * [backup-simplify]: Simplify (+ 0 0) into 0 3.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 3.772 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.773 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.773 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.773 * [backup-simplify]: Simplify 5/32 into 5/32 3.773 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 3.774 * [backup-simplify]: Simplify (- (- 1 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 3.774 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.774 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.774 * [backup-simplify]: Simplify 1/2 into 1/2 3.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.774 * [backup-simplify]: Simplify 1/2 into 1/2 3.774 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.774 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.774 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.774 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.774 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.774 * [taylor]: Taking taylor expansion of 1 in x 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [taylor]: Taking taylor expansion of 1 in x 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.774 * [taylor]: Taking taylor expansion of x in x 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.774 * [taylor]: Taking taylor expansion of x in x 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (/ 1 1) into 1 3.775 * [backup-simplify]: Simplify (* 1 1) into 1 3.775 * [backup-simplify]: Simplify (+ 0 1) into 1 3.775 * [backup-simplify]: Simplify (sqrt 1) into 1 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.777 * [backup-simplify]: Simplify (+ 0 0) into 0 3.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.778 * [taylor]: Taking taylor expansion of 1/2 in x 3.778 * [backup-simplify]: Simplify 1/2 into 1/2 3.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.778 * [taylor]: Taking taylor expansion of 1/2 in x 3.778 * [backup-simplify]: Simplify 1/2 into 1/2 3.778 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.778 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.778 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.778 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.778 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.778 * [taylor]: Taking taylor expansion of 1 in x 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [taylor]: Taking taylor expansion of 1 in x 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.778 * [taylor]: Taking taylor expansion of x in x 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.778 * [taylor]: Taking taylor expansion of x in x 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (/ 1 1) into 1 3.779 * [backup-simplify]: Simplify (* 1 1) into 1 3.779 * [backup-simplify]: Simplify (+ 0 1) into 1 3.779 * [backup-simplify]: Simplify (sqrt 1) into 1 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.781 * [backup-simplify]: Simplify (+ 0 0) into 0 3.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.782 * [backup-simplify]: Simplify 1/2 into 1/2 3.782 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.783 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.783 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.783 * [backup-simplify]: Simplify -1/2 into -1/2 3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (- 0) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (* 1 1) into 1 3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.790 * [backup-simplify]: Simplify (+ 1 0) into 1 3.791 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.793 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.793 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.794 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.794 * [backup-simplify]: Simplify 1/4 into 1/4 3.794 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 3.795 * [backup-simplify]: Simplify (- (- 1 1/2) (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 3.795 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 3.795 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.795 * [taylor]: Taking taylor expansion of 1/2 in x 3.795 * [backup-simplify]: Simplify 1/2 into 1/2 3.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.795 * [taylor]: Taking taylor expansion of 1/2 in x 3.795 * [backup-simplify]: Simplify 1/2 into 1/2 3.795 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.795 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.795 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.795 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.795 * [taylor]: Taking taylor expansion of 1 in x 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [taylor]: Taking taylor expansion of 1 in x 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.795 * [taylor]: Taking taylor expansion of -1 in x 3.795 * [backup-simplify]: Simplify -1 into -1 3.795 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ -1 1) into -1 3.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.796 * [taylor]: Taking taylor expansion of -1 in x 3.796 * [backup-simplify]: Simplify -1 into -1 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.797 * [backup-simplify]: Simplify (/ -1 1) into -1 3.797 * [backup-simplify]: Simplify (* -1 -1) into 1 3.797 * [backup-simplify]: Simplify (+ 0 1) into 1 3.798 * [backup-simplify]: Simplify (sqrt 1) into 1 3.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.801 * [backup-simplify]: Simplify (+ 0 0) into 0 3.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.802 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.802 * [taylor]: Taking taylor expansion of 1/2 in x 3.802 * [backup-simplify]: Simplify 1/2 into 1/2 3.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.802 * [taylor]: Taking taylor expansion of 1/2 in x 3.802 * [backup-simplify]: Simplify 1/2 into 1/2 3.802 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.802 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.802 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.802 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.802 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.802 * [taylor]: Taking taylor expansion of 1 in x 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [taylor]: Taking taylor expansion of 1 in x 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.803 * [taylor]: Taking taylor expansion of -1 in x 3.803 * [backup-simplify]: Simplify -1 into -1 3.803 * [taylor]: Taking taylor expansion of x in x 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (/ -1 1) into -1 3.803 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.803 * [taylor]: Taking taylor expansion of -1 in x 3.803 * [backup-simplify]: Simplify -1 into -1 3.803 * [taylor]: Taking taylor expansion of x in x 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.804 * [backup-simplify]: Simplify (/ -1 1) into -1 3.804 * [backup-simplify]: Simplify (* -1 -1) into 1 3.805 * [backup-simplify]: Simplify (+ 0 1) into 1 3.805 * [backup-simplify]: Simplify (sqrt 1) into 1 3.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.808 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.809 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.810 * [backup-simplify]: Simplify 1/2 into 1/2 3.810 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.811 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.811 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.811 * [backup-simplify]: Simplify -1/2 into -1/2 3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.813 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify (+ 0 0) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (* 1 1) into 1 3.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.818 * [backup-simplify]: Simplify (+ 1 0) into 1 3.819 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.821 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.822 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.822 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.822 * [backup-simplify]: Simplify 1/4 into 1/4 3.822 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 3.822 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.823 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 3.823 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 3.823 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.823 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.823 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.823 * [taylor]: Taking taylor expansion of 1/2 in x 3.823 * [backup-simplify]: Simplify 1/2 into 1/2 3.823 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.823 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.823 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.823 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.823 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.823 * [taylor]: Taking taylor expansion of 1 in x 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [taylor]: Taking taylor expansion of 1 in x 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [taylor]: Taking taylor expansion of (* x x) in x 3.823 * [taylor]: Taking taylor expansion of x in x 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [taylor]: Taking taylor expansion of x in x 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.824 * [backup-simplify]: Simplify (* 1 1) into 1 3.824 * [backup-simplify]: Simplify (* 0 0) into 0 3.825 * [backup-simplify]: Simplify (+ 1 0) into 1 3.825 * [backup-simplify]: Simplify (sqrt 1) into 1 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.826 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.827 * [backup-simplify]: Simplify (+ 0 0) into 0 3.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.828 * [backup-simplify]: Simplify (/ 1 1) into 1 3.828 * [taylor]: Taking taylor expansion of 1/2 in x 3.828 * [backup-simplify]: Simplify 1/2 into 1/2 3.828 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.829 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.829 * [backup-simplify]: Simplify (sqrt 1) into 1 3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.832 * [taylor]: Taking taylor expansion of 1 in x 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.832 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.832 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.832 * [taylor]: Taking taylor expansion of 1/2 in x 3.832 * [backup-simplify]: Simplify 1/2 into 1/2 3.832 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.832 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.832 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.832 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.832 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.833 * [taylor]: Taking taylor expansion of 1 in x 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [taylor]: Taking taylor expansion of 1 in x 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [taylor]: Taking taylor expansion of (* x x) in x 3.833 * [taylor]: Taking taylor expansion of x in x 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [taylor]: Taking taylor expansion of x in x 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (* 1 1) into 1 3.834 * [backup-simplify]: Simplify (* 0 0) into 0 3.834 * [backup-simplify]: Simplify (+ 1 0) into 1 3.834 * [backup-simplify]: Simplify (sqrt 1) into 1 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.838 * [backup-simplify]: Simplify (/ 1 1) into 1 3.838 * [taylor]: Taking taylor expansion of 1/2 in x 3.838 * [backup-simplify]: Simplify 1/2 into 1/2 3.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.838 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.839 * [backup-simplify]: Simplify (sqrt 1) into 1 3.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.841 * [backup-simplify]: Simplify (+ 0 0) into 0 3.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.842 * [taylor]: Taking taylor expansion of 1 in x 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (+ 1 1) into 2 3.842 * [backup-simplify]: Simplify 2 into 2 3.843 * [backup-simplify]: Simplify (+ 0 0) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.845 * [backup-simplify]: Simplify (+ 0 1) into 1 3.846 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.848 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.849 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.850 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.851 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.851 * [backup-simplify]: Simplify -1/8 into -1/8 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (+ 0 0) into 0 3.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.861 * [backup-simplify]: Simplify (+ 0 0) into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.864 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.868 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.868 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.870 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.871 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 3.871 * [backup-simplify]: Simplify 11/128 into 11/128 3.871 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 3.871 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 3.871 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 3.871 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.871 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.871 * [taylor]: Taking taylor expansion of 1/2 in x 3.871 * [backup-simplify]: Simplify 1/2 into 1/2 3.871 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.871 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.871 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.872 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.872 * [taylor]: Taking taylor expansion of 1 in x 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [taylor]: Taking taylor expansion of 1 in x 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.872 * [taylor]: Taking taylor expansion of x in x 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.872 * [taylor]: Taking taylor expansion of x in x 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.873 * [backup-simplify]: Simplify (* 1 1) into 1 3.873 * [backup-simplify]: Simplify (+ 0 1) into 1 3.873 * [backup-simplify]: Simplify (sqrt 1) into 1 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.876 * [taylor]: Taking taylor expansion of 1/2 in x 3.876 * [backup-simplify]: Simplify 1/2 into 1/2 3.876 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.876 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.876 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.877 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.878 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.878 * [taylor]: Taking taylor expansion of 1 in x 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.878 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.878 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.878 * [taylor]: Taking taylor expansion of 1/2 in x 3.878 * [backup-simplify]: Simplify 1/2 into 1/2 3.878 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.878 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.878 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.878 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.878 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.878 * [taylor]: Taking taylor expansion of 1 in x 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of 1 in x 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.878 * [taylor]: Taking taylor expansion of x in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.878 * [taylor]: Taking taylor expansion of x in x 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (/ 1 1) into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (+ 0 1) into 1 3.879 * [backup-simplify]: Simplify (sqrt 1) into 1 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.882 * [backup-simplify]: Simplify (/ 1 1) into 1 3.882 * [taylor]: Taking taylor expansion of 1/2 in x 3.882 * [backup-simplify]: Simplify 1/2 into 1/2 3.882 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.882 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.883 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.883 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.884 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.884 * [taylor]: Taking taylor expansion of 1 in x 3.884 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.885 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.886 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.887 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.894 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.896 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.900 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 3.900 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 3.900 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 3.900 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.900 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.900 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.900 * [taylor]: Taking taylor expansion of 1/2 in x 3.900 * [backup-simplify]: Simplify 1/2 into 1/2 3.900 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.900 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.900 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.900 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.900 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.900 * [taylor]: Taking taylor expansion of 1 in x 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [taylor]: Taking taylor expansion of 1 in x 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.900 * [taylor]: Taking taylor expansion of -1 in x 3.900 * [backup-simplify]: Simplify -1 into -1 3.900 * [taylor]: Taking taylor expansion of x in x 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (/ -1 1) into -1 3.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.900 * [taylor]: Taking taylor expansion of -1 in x 3.900 * [backup-simplify]: Simplify -1 into -1 3.900 * [taylor]: Taking taylor expansion of x in x 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (/ -1 1) into -1 3.901 * [backup-simplify]: Simplify (* -1 -1) into 1 3.901 * [backup-simplify]: Simplify (+ 0 1) into 1 3.902 * [backup-simplify]: Simplify (sqrt 1) into 1 3.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.904 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [taylor]: Taking taylor expansion of 1/2 in x 3.904 * [backup-simplify]: Simplify 1/2 into 1/2 3.904 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.905 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.905 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.905 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.906 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.906 * [taylor]: Taking taylor expansion of 1 in x 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.906 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.906 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.907 * [taylor]: Taking taylor expansion of 1/2 in x 3.907 * [backup-simplify]: Simplify 1/2 into 1/2 3.907 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.907 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.907 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.907 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.907 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.907 * [taylor]: Taking taylor expansion of 1 in x 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [taylor]: Taking taylor expansion of 1 in x 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.907 * [taylor]: Taking taylor expansion of -1 in x 3.907 * [backup-simplify]: Simplify -1 into -1 3.907 * [taylor]: Taking taylor expansion of x in x 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (/ -1 1) into -1 3.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.907 * [taylor]: Taking taylor expansion of -1 in x 3.907 * [backup-simplify]: Simplify -1 into -1 3.907 * [taylor]: Taking taylor expansion of x in x 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (/ -1 1) into -1 3.908 * [backup-simplify]: Simplify (* -1 -1) into 1 3.908 * [backup-simplify]: Simplify (+ 0 1) into 1 3.908 * [backup-simplify]: Simplify (sqrt 1) into 1 3.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.910 * [backup-simplify]: Simplify (+ 0 0) into 0 3.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.911 * [backup-simplify]: Simplify (/ 1 1) into 1 3.911 * [taylor]: Taking taylor expansion of 1/2 in x 3.911 * [backup-simplify]: Simplify 1/2 into 1/2 3.911 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.911 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.912 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.912 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.913 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.913 * [taylor]: Taking taylor expansion of 1 in x 3.913 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.914 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.915 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.916 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.917 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.922 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.924 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.928 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 3.928 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 3.928 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 3.928 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 3.928 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.928 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.928 * [taylor]: Taking taylor expansion of 1/2 in x 3.928 * [backup-simplify]: Simplify 1/2 into 1/2 3.928 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.928 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.928 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.928 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.928 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.928 * [taylor]: Taking taylor expansion of 1 in x 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [taylor]: Taking taylor expansion of 1 in x 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [taylor]: Taking taylor expansion of (* x x) in x 3.928 * [taylor]: Taking taylor expansion of x in x 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [taylor]: Taking taylor expansion of x in x 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.929 * [backup-simplify]: Simplify (* 0 0) into 0 3.929 * [backup-simplify]: Simplify (+ 1 0) into 1 3.929 * [backup-simplify]: Simplify (sqrt 1) into 1 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.930 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.930 * [backup-simplify]: Simplify (+ 0 0) into 0 3.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.931 * [backup-simplify]: Simplify (/ 1 1) into 1 3.931 * [taylor]: Taking taylor expansion of 1/2 in x 3.931 * [backup-simplify]: Simplify 1/2 into 1/2 3.932 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.932 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.932 * [backup-simplify]: Simplify (sqrt 1) into 1 3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.933 * [backup-simplify]: Simplify (+ 0 0) into 0 3.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.934 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.934 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.934 * [taylor]: Taking taylor expansion of 1/2 in x 3.934 * [backup-simplify]: Simplify 1/2 into 1/2 3.934 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.934 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.934 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.934 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.934 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.934 * [taylor]: Taking taylor expansion of 1 in x 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [taylor]: Taking taylor expansion of 1 in x 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [taylor]: Taking taylor expansion of (* x x) in x 3.934 * [taylor]: Taking taylor expansion of x in x 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [taylor]: Taking taylor expansion of x in x 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (* 1 1) into 1 3.935 * [backup-simplify]: Simplify (* 0 0) into 0 3.935 * [backup-simplify]: Simplify (+ 1 0) into 1 3.935 * [backup-simplify]: Simplify (sqrt 1) into 1 3.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.936 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.936 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.937 * [backup-simplify]: Simplify (/ 1 1) into 1 3.937 * [taylor]: Taking taylor expansion of 1/2 in x 3.937 * [backup-simplify]: Simplify 1/2 into 1/2 3.937 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.938 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.938 * [backup-simplify]: Simplify (sqrt 1) into 1 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.939 * [backup-simplify]: Simplify (+ 0 0) into 0 3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.943 * [backup-simplify]: Simplify (+ 0 1) into 1 3.944 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.946 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.946 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.948 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.948 * [backup-simplify]: Simplify -1/8 into -1/8 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.950 * [backup-simplify]: Simplify (+ 0 0) into 0 3.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.960 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.965 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.965 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.967 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.967 * [backup-simplify]: Simplify 11/128 into 11/128 3.967 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 3.967 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 3.967 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 3.967 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.967 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.967 * [taylor]: Taking taylor expansion of 1/2 in x 3.967 * [backup-simplify]: Simplify 1/2 into 1/2 3.967 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.967 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.967 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.967 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.967 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.967 * [taylor]: Taking taylor expansion of 1 in x 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [taylor]: Taking taylor expansion of 1 in x 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.967 * [taylor]: Taking taylor expansion of x in x 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.968 * [taylor]: Taking taylor expansion of x in x 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.968 * [backup-simplify]: Simplify (* 1 1) into 1 3.969 * [backup-simplify]: Simplify (+ 0 1) into 1 3.969 * [backup-simplify]: Simplify (sqrt 1) into 1 3.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.973 * [taylor]: Taking taylor expansion of 1/2 in x 3.973 * [backup-simplify]: Simplify 1/2 into 1/2 3.973 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.973 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.974 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.974 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.975 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.975 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.975 * [taylor]: Taking taylor expansion of 1/2 in x 3.975 * [backup-simplify]: Simplify 1/2 into 1/2 3.975 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.975 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.975 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.975 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.975 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.975 * [taylor]: Taking taylor expansion of 1 in x 3.975 * [backup-simplify]: Simplify 1 into 1 3.975 * [taylor]: Taking taylor expansion of 1 in x 3.975 * [backup-simplify]: Simplify 1 into 1 3.975 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.975 * [taylor]: Taking taylor expansion of x in x 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.975 * [taylor]: Taking taylor expansion of x in x 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [backup-simplify]: Simplify (* 1 1) into 1 3.976 * [backup-simplify]: Simplify (+ 0 1) into 1 3.977 * [backup-simplify]: Simplify (sqrt 1) into 1 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.978 * [backup-simplify]: Simplify (+ 0 0) into 0 3.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of 1/2 in x 3.979 * [backup-simplify]: Simplify 1/2 into 1/2 3.979 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.979 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.980 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.981 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.981 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.982 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.984 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.991 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.993 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 3.993 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3.993 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 3.993 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.993 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.993 * [taylor]: Taking taylor expansion of 1/2 in x 3.993 * [backup-simplify]: Simplify 1/2 into 1/2 3.993 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.993 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.993 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.993 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.993 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.993 * [taylor]: Taking taylor expansion of 1 in x 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [taylor]: Taking taylor expansion of 1 in x 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.993 * [taylor]: Taking taylor expansion of -1 in x 3.993 * [backup-simplify]: Simplify -1 into -1 3.993 * [taylor]: Taking taylor expansion of x in x 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (/ -1 1) into -1 3.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.994 * [taylor]: Taking taylor expansion of -1 in x 3.994 * [backup-simplify]: Simplify -1 into -1 3.994 * [taylor]: Taking taylor expansion of x in x 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (/ -1 1) into -1 3.994 * [backup-simplify]: Simplify (* -1 -1) into 1 3.995 * [backup-simplify]: Simplify (+ 0 1) into 1 3.995 * [backup-simplify]: Simplify (sqrt 1) into 1 3.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.997 * [backup-simplify]: Simplify (+ 0 0) into 0 3.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [taylor]: Taking taylor expansion of 1/2 in x 3.997 * [backup-simplify]: Simplify 1/2 into 1/2 3.998 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.998 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.998 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.999 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.000 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.000 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.000 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.000 * [taylor]: Taking taylor expansion of 1/2 in x 4.000 * [backup-simplify]: Simplify 1/2 into 1/2 4.000 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.000 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.000 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.000 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.000 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.000 * [taylor]: Taking taylor expansion of 1 in x 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [taylor]: Taking taylor expansion of 1 in x 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.000 * [taylor]: Taking taylor expansion of -1 in x 4.000 * [backup-simplify]: Simplify -1 into -1 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (/ -1 1) into -1 4.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.000 * [taylor]: Taking taylor expansion of -1 in x 4.000 * [backup-simplify]: Simplify -1 into -1 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (/ -1 1) into -1 4.001 * [backup-simplify]: Simplify (* -1 -1) into 1 4.001 * [backup-simplify]: Simplify (+ 0 1) into 1 4.001 * [backup-simplify]: Simplify (sqrt 1) into 1 4.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.004 * [backup-simplify]: Simplify (/ 1 1) into 1 4.004 * [taylor]: Taking taylor expansion of 1/2 in x 4.004 * [backup-simplify]: Simplify 1/2 into 1/2 4.004 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.004 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.005 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.005 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.006 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.006 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.007 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.013 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.015 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 4.015 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.015 * [backup-simplify]: Simplify (/ (- (- 1 1/2) (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) 4.015 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in (x) around 0 4.015 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 4.015 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.015 * [taylor]: Taking taylor expansion of 1/2 in x 4.015 * [backup-simplify]: Simplify 1/2 into 1/2 4.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.015 * [taylor]: Taking taylor expansion of 1/2 in x 4.015 * [backup-simplify]: Simplify 1/2 into 1/2 4.015 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.015 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.015 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.015 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.015 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.015 * [taylor]: Taking taylor expansion of 1 in x 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of 1 in x 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of (* x x) in x 4.015 * [taylor]: Taking taylor expansion of x in x 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [taylor]: Taking taylor expansion of x in x 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (* 1 1) into 1 4.016 * [backup-simplify]: Simplify (* 0 0) into 0 4.016 * [backup-simplify]: Simplify (+ 1 0) into 1 4.017 * [backup-simplify]: Simplify (sqrt 1) into 1 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 4.018 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.018 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.018 * [taylor]: Taking taylor expansion of 1/2 in x 4.018 * [backup-simplify]: Simplify 1/2 into 1/2 4.018 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.018 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.019 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.019 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.019 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.019 * [taylor]: Taking taylor expansion of 1 in x 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [taylor]: Taking taylor expansion of 1 in x 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [taylor]: Taking taylor expansion of (* x x) in x 4.019 * [taylor]: Taking taylor expansion of x in x 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [taylor]: Taking taylor expansion of x in x 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (* 0 0) into 0 4.020 * [backup-simplify]: Simplify (+ 1 0) into 1 4.020 * [backup-simplify]: Simplify (sqrt 1) into 1 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.022 * [backup-simplify]: Simplify (/ 1 1) into 1 4.022 * [taylor]: Taking taylor expansion of 1/2 in x 4.022 * [backup-simplify]: Simplify 1/2 into 1/2 4.022 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.022 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.022 * [backup-simplify]: Simplify (sqrt 1) into 1 4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.024 * [taylor]: Taking taylor expansion of 1 in x 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.025 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.025 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.026 * [backup-simplify]: Simplify (- 0) into 0 4.026 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.028 * [backup-simplify]: Simplify (+ 0 1) into 1 4.028 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.029 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.030 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.030 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.030 * [backup-simplify]: Simplify (+ 1 1) into 2 4.031 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 4.031 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 4.031 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.031 * [taylor]: Taking taylor expansion of 1/2 in x 4.031 * [backup-simplify]: Simplify 1/2 into 1/2 4.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.031 * [taylor]: Taking taylor expansion of 1/2 in x 4.031 * [backup-simplify]: Simplify 1/2 into 1/2 4.031 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.031 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.031 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.031 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.031 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.031 * [taylor]: Taking taylor expansion of 1 in x 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [taylor]: Taking taylor expansion of 1 in x 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [taylor]: Taking taylor expansion of (* x x) in x 4.031 * [taylor]: Taking taylor expansion of x in x 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [taylor]: Taking taylor expansion of x in x 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (* 1 1) into 1 4.031 * [backup-simplify]: Simplify (* 0 0) into 0 4.032 * [backup-simplify]: Simplify (+ 1 0) into 1 4.032 * [backup-simplify]: Simplify (sqrt 1) into 1 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.033 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.034 * [backup-simplify]: Simplify (/ 1 1) into 1 4.034 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 4.034 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.034 * [taylor]: Taking taylor expansion of 1/2 in x 4.034 * [backup-simplify]: Simplify 1/2 into 1/2 4.034 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.034 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.034 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.034 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.034 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.034 * [taylor]: Taking taylor expansion of 1 in x 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [taylor]: Taking taylor expansion of 1 in x 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [taylor]: Taking taylor expansion of (* x x) in x 4.034 * [taylor]: Taking taylor expansion of x in x 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [taylor]: Taking taylor expansion of x in x 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.035 * [backup-simplify]: Simplify (* 0 0) into 0 4.035 * [backup-simplify]: Simplify (+ 1 0) into 1 4.035 * [backup-simplify]: Simplify (sqrt 1) into 1 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.036 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.036 * [backup-simplify]: Simplify (+ 0 0) into 0 4.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.037 * [backup-simplify]: Simplify (/ 1 1) into 1 4.037 * [taylor]: Taking taylor expansion of 1/2 in x 4.037 * [backup-simplify]: Simplify 1/2 into 1/2 4.037 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.038 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.038 * [backup-simplify]: Simplify (sqrt 1) into 1 4.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.039 * [taylor]: Taking taylor expansion of 1 in x 4.039 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.040 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.040 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.042 * [backup-simplify]: Simplify (- 0) into 0 4.042 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.043 * [backup-simplify]: Simplify (+ 0 1) into 1 4.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.045 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.045 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.046 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.046 * [backup-simplify]: Simplify (+ 1 1) into 2 4.046 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8 4.046 * [backup-simplify]: Simplify 1/8 into 1/8 4.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (- 0) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)))) into 0 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.056 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.057 * [backup-simplify]: Simplify (- 3/16) into -3/16 4.057 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.058 * [backup-simplify]: Simplify (+ 0 1) into 1 4.059 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.060 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.061 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 4.063 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 4.064 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.064 * [backup-simplify]: Simplify (- (/ -3/16 2) (+ (* 1/8 (/ -1/8 2)) (* 0 (/ 0 2)))) into -11/128 4.064 * [backup-simplify]: Simplify -11/128 into -11/128 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.066 * [backup-simplify]: Simplify (+ 0 0) into 0 4.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 4.070 * [backup-simplify]: Simplify (- 0) into 0 4.070 * [backup-simplify]: Simplify (+ 0 0) into 0 4.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.072 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)) (* 0 (/ -1/8 2)) (* -11/128 (/ 0 2)))) into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.079 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 4.083 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 4.083 * [backup-simplify]: Simplify (- -5/32) into 5/32 4.083 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 4.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.085 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.088 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.088 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 4.089 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 4.089 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 4.091 * [backup-simplify]: Simplify (- (/ 5/32 2) (+ (* 1/8 (/ 11/128 2)) (* 0 (/ 0 2)) (* -11/128 (/ -1/8 2)) (* 0 (/ 0 2)))) into 69/1024 4.091 * [backup-simplify]: Simplify 69/1024 into 69/1024 4.091 * [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))) 4.091 * [backup-simplify]: Simplify (/ (- (- 1 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) 4.091 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in (x) around 0 4.091 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 4.091 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.091 * [taylor]: Taking taylor expansion of 1/2 in x 4.092 * [backup-simplify]: Simplify 1/2 into 1/2 4.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.092 * [taylor]: Taking taylor expansion of 1/2 in x 4.092 * [backup-simplify]: Simplify 1/2 into 1/2 4.092 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.092 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.092 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.092 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.092 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.092 * [taylor]: Taking taylor expansion of 1 in x 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [taylor]: Taking taylor expansion of 1 in x 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.092 * [taylor]: Taking taylor expansion of x in x 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.092 * [taylor]: Taking taylor expansion of x in x 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.093 * [backup-simplify]: Simplify (* 1 1) into 1 4.093 * [backup-simplify]: Simplify (+ 0 1) into 1 4.093 * [backup-simplify]: Simplify (sqrt 1) into 1 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.095 * [backup-simplify]: Simplify (+ 0 0) into 0 4.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.096 * [backup-simplify]: Simplify (/ 1 1) into 1 4.096 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 4.096 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.096 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.096 * [taylor]: Taking taylor expansion of 1/2 in x 4.096 * [backup-simplify]: Simplify 1/2 into 1/2 4.096 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.096 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.096 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.096 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.096 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.096 * [taylor]: Taking taylor expansion of 1 in x 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [taylor]: Taking taylor expansion of 1 in x 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.096 * [taylor]: Taking taylor expansion of x in x 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (/ 1 1) into 1 4.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.096 * [taylor]: Taking taylor expansion of x in x 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.096 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (+ 0 1) into 1 4.097 * [backup-simplify]: Simplify (sqrt 1) into 1 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.099 * [backup-simplify]: Simplify (+ 0 0) into 0 4.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [taylor]: Taking taylor expansion of 1/2 in x 4.100 * [backup-simplify]: Simplify 1/2 into 1/2 4.100 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.100 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.100 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.101 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.102 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.102 * [taylor]: Taking taylor expansion of 1 in x 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.103 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.104 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 4.104 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 4.104 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.104 * [taylor]: Taking taylor expansion of 1/2 in x 4.104 * [backup-simplify]: Simplify 1/2 into 1/2 4.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.104 * [taylor]: Taking taylor expansion of 1/2 in x 4.104 * [backup-simplify]: Simplify 1/2 into 1/2 4.104 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.104 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.104 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.104 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.104 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.104 * [taylor]: Taking taylor expansion of 1 in x 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [taylor]: Taking taylor expansion of 1 in x 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.104 * [taylor]: Taking taylor expansion of x in x 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (/ 1 1) into 1 4.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.104 * [taylor]: Taking taylor expansion of x in x 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.105 * [backup-simplify]: Simplify (/ 1 1) into 1 4.105 * [backup-simplify]: Simplify (* 1 1) into 1 4.105 * [backup-simplify]: Simplify (+ 0 1) into 1 4.105 * [backup-simplify]: Simplify (sqrt 1) into 1 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.108 * [backup-simplify]: Simplify (/ 1 1) into 1 4.108 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 4.108 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 4.108 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.108 * [taylor]: Taking taylor expansion of 1/2 in x 4.108 * [backup-simplify]: Simplify 1/2 into 1/2 4.108 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.108 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.108 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.108 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.108 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.108 * [taylor]: Taking taylor expansion of 1 in x 4.108 * [backup-simplify]: Simplify 1 into 1 4.108 * [taylor]: Taking taylor expansion of 1 in x 4.108 * [backup-simplify]: Simplify 1 into 1 4.108 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.108 * [taylor]: Taking taylor expansion of x in x 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.109 * [taylor]: Taking taylor expansion of x in x 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.110 * [backup-simplify]: Simplify (+ 0 1) into 1 4.110 * [backup-simplify]: Simplify (sqrt 1) into 1 4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.112 * [backup-simplify]: Simplify (/ 1 1) into 1 4.112 * [taylor]: Taking taylor expansion of 1/2 in x 4.112 * [backup-simplify]: Simplify 1/2 into 1/2 4.112 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.113 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.113 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.113 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.114 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.114 * [taylor]: Taking taylor expansion of 1 in x 4.114 * [backup-simplify]: Simplify 1 into 1 4.115 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.116 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.117 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 4.119 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 4.120 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.120 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.120 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.122 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 4.134 * [backup-simplify]: Simplify (- (/ -1/2 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) 4.145 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) 4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.147 * [backup-simplify]: Simplify (- 0) into 0 4.148 * [backup-simplify]: Simplify (+ 0 0) into 0 4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.150 * [backup-simplify]: Simplify (+ 0 0) into 0 4.155 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.158 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.202 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) 4.220 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) 4.246 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ 1 x)) (/ 1/2 (+ (sqrt 1/2) 1)))) into (- (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* 1/8 (/ 1 (* x (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))))) 4.247 * [backup-simplify]: Simplify (/ (- (- 1 1/2) (/ 1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) 4.247 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in (x) around 0 4.247 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 4.247 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.247 * [taylor]: Taking taylor expansion of 1/2 in x 4.247 * [backup-simplify]: Simplify 1/2 into 1/2 4.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.247 * [taylor]: Taking taylor expansion of 1/2 in x 4.247 * [backup-simplify]: Simplify 1/2 into 1/2 4.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.247 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.247 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.247 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.247 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.247 * [taylor]: Taking taylor expansion of 1 in x 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [taylor]: Taking taylor expansion of 1 in x 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.247 * [taylor]: Taking taylor expansion of -1 in x 4.247 * [backup-simplify]: Simplify -1 into -1 4.247 * [taylor]: Taking taylor expansion of x in x 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ -1 1) into -1 4.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.248 * [taylor]: Taking taylor expansion of -1 in x 4.248 * [backup-simplify]: Simplify -1 into -1 4.248 * [taylor]: Taking taylor expansion of x in x 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ -1 1) into -1 4.248 * [backup-simplify]: Simplify (* -1 -1) into 1 4.249 * [backup-simplify]: Simplify (+ 0 1) into 1 4.249 * [backup-simplify]: Simplify (sqrt 1) into 1 4.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.251 * [backup-simplify]: Simplify (+ 0 0) into 0 4.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.251 * [backup-simplify]: Simplify (/ 1 1) into 1 4.251 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.251 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.251 * [taylor]: Taking taylor expansion of 1/2 in x 4.252 * [backup-simplify]: Simplify 1/2 into 1/2 4.252 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.252 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.252 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.252 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.252 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.252 * [taylor]: Taking taylor expansion of 1 in x 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [taylor]: Taking taylor expansion of 1 in x 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.252 * [taylor]: Taking taylor expansion of -1 in x 4.252 * [backup-simplify]: Simplify -1 into -1 4.252 * [taylor]: Taking taylor expansion of x in x 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (/ -1 1) into -1 4.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.252 * [taylor]: Taking taylor expansion of -1 in x 4.252 * [backup-simplify]: Simplify -1 into -1 4.252 * [taylor]: Taking taylor expansion of x in x 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (/ -1 1) into -1 4.253 * [backup-simplify]: Simplify (* -1 -1) into 1 4.253 * [backup-simplify]: Simplify (+ 0 1) into 1 4.253 * [backup-simplify]: Simplify (sqrt 1) into 1 4.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.256 * [backup-simplify]: Simplify (/ 1 1) into 1 4.256 * [taylor]: Taking taylor expansion of 1/2 in x 4.256 * [backup-simplify]: Simplify 1/2 into 1/2 4.256 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.256 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.257 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.257 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.258 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.258 * [taylor]: Taking taylor expansion of 1 in x 4.258 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.259 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.260 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 4.260 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 4.260 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.260 * [taylor]: Taking taylor expansion of 1/2 in x 4.260 * [backup-simplify]: Simplify 1/2 into 1/2 4.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.260 * [taylor]: Taking taylor expansion of 1/2 in x 4.260 * [backup-simplify]: Simplify 1/2 into 1/2 4.260 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.260 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.260 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.261 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.261 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.261 * [taylor]: Taking taylor expansion of 1 in x 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [taylor]: Taking taylor expansion of 1 in x 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.261 * [taylor]: Taking taylor expansion of -1 in x 4.261 * [backup-simplify]: Simplify -1 into -1 4.261 * [taylor]: Taking taylor expansion of x in x 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (/ -1 1) into -1 4.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.261 * [taylor]: Taking taylor expansion of -1 in x 4.261 * [backup-simplify]: Simplify -1 into -1 4.261 * [taylor]: Taking taylor expansion of x in x 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (/ -1 1) into -1 4.262 * [backup-simplify]: Simplify (* -1 -1) into 1 4.262 * [backup-simplify]: Simplify (+ 0 1) into 1 4.262 * [backup-simplify]: Simplify (sqrt 1) into 1 4.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.265 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.266 * [backup-simplify]: Simplify (/ 1 1) into 1 4.266 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.266 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.266 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.266 * [taylor]: Taking taylor expansion of 1/2 in x 4.266 * [backup-simplify]: Simplify 1/2 into 1/2 4.266 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.266 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.266 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.266 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.266 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.266 * [taylor]: Taking taylor expansion of 1 in x 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [taylor]: Taking taylor expansion of 1 in x 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.266 * [taylor]: Taking taylor expansion of -1 in x 4.266 * [backup-simplify]: Simplify -1 into -1 4.266 * [taylor]: Taking taylor expansion of x in x 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (/ -1 1) into -1 4.267 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.267 * [taylor]: Taking taylor expansion of -1 in x 4.267 * [backup-simplify]: Simplify -1 into -1 4.267 * [taylor]: Taking taylor expansion of x in x 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (/ -1 1) into -1 4.268 * [backup-simplify]: Simplify (* -1 -1) into 1 4.268 * [backup-simplify]: Simplify (+ 0 1) into 1 4.269 * [backup-simplify]: Simplify (sqrt 1) into 1 4.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.272 * [backup-simplify]: Simplify (+ 0 0) into 0 4.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.273 * [backup-simplify]: Simplify (/ 1 1) into 1 4.273 * [taylor]: Taking taylor expansion of 1/2 in x 4.273 * [backup-simplify]: Simplify 1/2 into 1/2 4.273 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.274 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.274 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.275 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.276 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 4.276 * [taylor]: Taking taylor expansion of 1 in x 4.276 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.278 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 4.279 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 4.281 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1)) 4.281 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.282 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.282 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.283 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 4.293 * [backup-simplify]: Simplify (- (/ -1/2 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) 4.300 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) 4.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.301 * [backup-simplify]: Simplify (- 0) into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.302 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 4.307 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 4.336 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) 4.351 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) 4.390 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ 1 (- x))) (/ 1/2 (+ (sqrt 1/2) 1)))) into (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/8 (/ 1 (* x (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))))))) 4.390 * * * [progress]: simplifying candidates 4.390 * * * * [progress]: [ 1 / 248 ] simplifiying candidate # 4.390 * * * * [progress]: [ 2 / 248 ] simplifiying candidate # 4.390 * * * * [progress]: [ 3 / 248 ] simplifiying candidate # 4.390 * * * * [progress]: [ 4 / 248 ] simplifiying candidate # 4.390 * * * * [progress]: [ 5 / 248 ] simplifiying candidate # 4.390 * * * * [progress]: [ 6 / 248 ] simplifiying candidate # 4.390 * * * * [progress]: [ 7 / 248 ] simplifiying candidate # 4.390 * * * * [progress]: [ 8 / 248 ] simplifiying candidate # 4.391 * * * * [progress]: [ 9 / 248 ] simplifiying candidate # 4.391 * * * * [progress]: [ 10 / 248 ] simplifiying candidate # 4.391 * * * * [progress]: [ 11 / 248 ] simplifiying candidate # 4.391 * * * * [progress]: [ 12 / 248 ] simplifiying candidate # 4.391 * * * * [progress]: [ 13 / 248 ] simplifiying candidate # 4.391 * * * * [progress]: [ 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4.396 * * * * [progress]: [ 137 / 248 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 4.396 * * * * [progress]: [ 138 / 248 ] simplifiying candidate # 4.396 * * * * [progress]: [ 139 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 140 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 141 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 142 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 143 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 144 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 145 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 146 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 147 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 148 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 149 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: [ 150 / 248 ] simplifiying candidate # 4.397 * * * * [progress]: 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4.402 * * * * [progress]: [ 212 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 213 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 214 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 215 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 216 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 217 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 218 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 219 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 220 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 221 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 222 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 223 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 224 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 225 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: [ 226 / 248 ] simplifiying candidate # 4.402 * * * * [progress]: 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[progress]: [ 241 / 248 ] simplifiying candidate # 4.403 * * * * [progress]: [ 242 / 248 ] simplifiying candidate # 4.403 * * * * [progress]: [ 243 / 248 ] simplifiying candidate # 4.403 * * * * [progress]: [ 244 / 248 ] simplifiying candidate # 4.403 * * * * [progress]: [ 245 / 248 ] simplifiying candidate # 4.403 * * * * [progress]: [ 246 / 248 ] simplifiying candidate # 4.403 * * * * [progress]: [ 247 / 248 ] simplifiying candidate # 4.403 * * * * [progress]: [ 248 / 248 ] simplifiying candidate # 4.407 * [simplify]: Simplifying: (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 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 (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 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 (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma (* (cbrt (- 1 1/2)) 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[simplify]: Extracting #5: cost 307 inf + 333303 5.630 * * [simplify]: Extracting #6: cost 31 inf + 441666 5.752 * * [simplify]: Extracting #7: cost 0 inf + 453133 5.862 * [simplify]: Simplified to: (- (* (cbrt (- 1 1/2)) (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2)))) (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) (- 1) (/ 1/2 (hypot 1 x))) (- (* (cbrt (- 1 1/2)) (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2)))) (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) (- 1) (/ 1/2 (hypot 1 x))) (- (* (cbrt (- 1 1/2)) (* (cbrt (- 1 1/2)) (cbrt (- 1 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 1/2)) (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2)))) (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (* (/ (cbrt 1/2) 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(/ 1/2 (hypot 1 x)))) 1))) (/ 1 (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) 1 (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1 (sqrt 1)) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (/ 1 (sqrt 1)) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) 1 (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ 1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (sqrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- (sqrt (- 1 1/2)) (sqrt (/ 1/2 (hypot 1 x))))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- (sqrt (- 1 1/2)) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (hypot 1 x) (+ (fma 1/2 1/2 1/2) 1)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (+ 1/2 1) (* (hypot 1 x) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (fma (/ 1/2 (hypot 1 x)) (+ (- 1 1/2) (/ 1/2 (hypot 1 x))) (* (- 1 1/2) (- 1 1/2)))) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (- 1 1/2) (/ 1/2 (hypot 1 x)))) (real->posit16 (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (- (fma (pow x 6) 5/32 (* x (* x 1/4))) (* 3/16 (pow x 4))) (+ (/ 1/4 (* x (* x x))) (- 1/2 (/ 1/2 x))) (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x)))) (- (fma 11/128 (pow x 4) 2) (* (* 1/8 x) x)) (+ (+ (sqrt 1/2) (- 1 (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))))) (/ 1/4 (* (sqrt 1/2) x))) (+ (- (- 1 (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (/ 1/4 (* (sqrt 1/2) x))) (sqrt 1/2)) (- (fma 11/128 (pow x 4) 1) (* (* 1/8 x) x)) (+ (- (sqrt 1/2) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (/ 1/4 (* (sqrt 1/2) x))) (- (- (sqrt 1/2) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (/ 1/4 (* (sqrt 1/2) x))) (fma (* x x) 1/8 (- (* (pow x 6) 69/1024) (* 11/128 (pow x 4)))) (- (+ (+ (/ 1/32 (* 1/2 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (+ 1 (sqrt 1/2))))) (+ (/ 1/2 (+ 1 (sqrt 1/2))) (/ 1/64 (* (* 1/2 (sqrt 1/2)) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))))) (- (/ 1/8 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (sqrt 1/2))) (/ 1/8 (* (* (sqrt 1/2) x) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))))) (/ 1/2 (fma (sqrt 1/2) x x))) (+ (+ (/ 1/64 (* (* 1/2 (sqrt 1/2)) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (+ (+ (/ 1/2 (+ 1 (sqrt 1/2))) (/ 1/2 (fma (sqrt 1/2) x x))) (/ 1/8 (* (* (sqrt 1/2) x) (* (+ 1 (sqrt 1/2)) (+ 1 (sqrt 1/2))))))) (+ (/ 1/32 (* 1/2 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (+ 1 (sqrt 1/2))))) (/ 1/8 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (sqrt 1/2))))) 5.905 * * * [progress]: adding candidates to table 8.450 * * [progress]: iteration 3 / 4 8.450 * * * [progress]: picking best candidate 8.472 * * * * [pick]: Picked # 8.472 * * * [progress]: localizing error 8.536 * * * [progress]: generating rewritten candidates 8.536 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.583 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 8.668 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 8.692 * * * [progress]: generating series expansions 8.692 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.694 * [backup-simplify]: Simplify (- (- 1 1/2) (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 8.694 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 8.694 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.694 * [taylor]: Taking taylor expansion of 1/2 in x 8.694 * [backup-simplify]: Simplify 1/2 into 1/2 8.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.694 * [taylor]: Taking taylor expansion of 1/2 in x 8.694 * [backup-simplify]: Simplify 1/2 into 1/2 8.694 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.694 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.694 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.694 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.694 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.694 * [taylor]: Taking taylor expansion of 1 in x 8.694 * [backup-simplify]: Simplify 1 into 1 8.694 * [taylor]: Taking taylor expansion of 1 in x 8.694 * [backup-simplify]: Simplify 1 into 1 8.694 * [taylor]: Taking taylor expansion of (* x x) in x 8.694 * [taylor]: Taking taylor expansion of x in x 8.694 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify 1 into 1 8.694 * [taylor]: Taking taylor expansion of x in x 8.694 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify 1 into 1 8.695 * [backup-simplify]: Simplify (* 1 1) into 1 8.695 * [backup-simplify]: Simplify (* 0 0) into 0 8.696 * [backup-simplify]: Simplify (+ 1 0) into 1 8.696 * [backup-simplify]: Simplify (sqrt 1) into 1 8.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.697 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.698 * [backup-simplify]: Simplify (+ 0 0) into 0 8.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.699 * [backup-simplify]: Simplify (/ 1 1) into 1 8.699 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.699 * [taylor]: Taking taylor expansion of 1/2 in x 8.699 * [backup-simplify]: Simplify 1/2 into 1/2 8.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.699 * [taylor]: Taking taylor expansion of 1/2 in x 8.699 * [backup-simplify]: Simplify 1/2 into 1/2 8.699 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.699 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.699 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.699 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.699 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.699 * [taylor]: Taking taylor expansion of 1 in x 8.699 * [backup-simplify]: Simplify 1 into 1 8.699 * [taylor]: Taking taylor expansion of 1 in x 8.699 * [backup-simplify]: Simplify 1 into 1 8.699 * [taylor]: Taking taylor expansion of (* x x) in x 8.699 * [taylor]: Taking taylor expansion of x in x 8.699 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify 1 into 1 8.699 * [taylor]: Taking taylor expansion of x in x 8.699 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 1 into 1 8.700 * [backup-simplify]: Simplify (* 1 1) into 1 8.700 * [backup-simplify]: Simplify (* 0 0) into 0 8.701 * [backup-simplify]: Simplify (+ 1 0) into 1 8.701 * [backup-simplify]: Simplify (sqrt 1) into 1 8.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.702 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.703 * [backup-simplify]: Simplify (+ 0 0) into 0 8.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.704 * [backup-simplify]: Simplify (/ 1 1) into 1 8.704 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.705 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.705 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 8.705 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.707 * [backup-simplify]: Simplify (- 0) into 0 8.707 * [backup-simplify]: Simplify (+ 0 0) into 0 8.707 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.709 * [backup-simplify]: Simplify (+ 0 1) into 1 8.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.713 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.713 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.713 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.713 * [backup-simplify]: Simplify 1/4 into 1/4 8.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.718 * [backup-simplify]: Simplify (+ 0 0) into 0 8.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (- 0) into 0 8.721 * [backup-simplify]: Simplify (+ 0 0) into 0 8.721 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.726 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.726 * [backup-simplify]: Simplify (- 3/16) into -3/16 8.727 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 8.727 * [backup-simplify]: Simplify -3/16 into -3/16 8.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 8.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 8.733 * [backup-simplify]: Simplify (- 0) into 0 8.733 * [backup-simplify]: Simplify (+ 0 0) into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 8.740 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 8.740 * [backup-simplify]: Simplify (- -5/32) into 5/32 8.741 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 8.741 * [backup-simplify]: Simplify 5/32 into 5/32 8.742 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 8.742 * [backup-simplify]: Simplify (- (- 1 1/2) (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 8.742 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 8.742 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.742 * [taylor]: Taking taylor expansion of 1/2 in x 8.742 * [backup-simplify]: Simplify 1/2 into 1/2 8.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.742 * [taylor]: Taking taylor expansion of 1/2 in x 8.742 * [backup-simplify]: Simplify 1/2 into 1/2 8.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.742 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.742 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.742 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.742 * [taylor]: Taking taylor expansion of 1 in x 8.742 * [backup-simplify]: Simplify 1 into 1 8.742 * [taylor]: Taking taylor expansion of 1 in x 8.742 * [backup-simplify]: Simplify 1 into 1 8.742 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.742 * [taylor]: Taking taylor expansion of x in x 8.742 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify 1 into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.743 * [taylor]: Taking taylor expansion of x in x 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 1 into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.743 * [backup-simplify]: Simplify (* 1 1) into 1 8.743 * [backup-simplify]: Simplify (+ 0 1) into 1 8.744 * [backup-simplify]: Simplify (sqrt 1) into 1 8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.745 * [backup-simplify]: Simplify (+ 0 0) into 0 8.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.746 * [backup-simplify]: Simplify (/ 1 1) into 1 8.746 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.746 * [taylor]: Taking taylor expansion of 1/2 in x 8.746 * [backup-simplify]: Simplify 1/2 into 1/2 8.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.746 * [taylor]: Taking taylor expansion of 1/2 in x 8.746 * [backup-simplify]: Simplify 1/2 into 1/2 8.746 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.746 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.746 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.746 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.746 * [taylor]: Taking taylor expansion of 1 in x 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [taylor]: Taking taylor expansion of 1 in x 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.746 * [taylor]: Taking taylor expansion of x in x 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.747 * [backup-simplify]: Simplify (/ 1 1) into 1 8.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.747 * [taylor]: Taking taylor expansion of x in x 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 1 into 1 8.747 * [backup-simplify]: Simplify (/ 1 1) into 1 8.748 * [backup-simplify]: Simplify (* 1 1) into 1 8.748 * [backup-simplify]: Simplify (+ 0 1) into 1 8.748 * [backup-simplify]: Simplify (sqrt 1) into 1 8.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.751 * [backup-simplify]: Simplify (+ 0 0) into 0 8.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.752 * [backup-simplify]: Simplify (/ 1 1) into 1 8.753 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.753 * [backup-simplify]: Simplify 1/2 into 1/2 8.753 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.754 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.754 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.754 * [backup-simplify]: Simplify -1/2 into -1/2 8.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.756 * [backup-simplify]: Simplify (- 0) into 0 8.756 * [backup-simplify]: Simplify (+ 0 0) into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify (* 1 1) into 1 8.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.760 * [backup-simplify]: Simplify (+ 1 0) into 1 8.761 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.764 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.764 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.764 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.764 * [backup-simplify]: Simplify 1/4 into 1/4 8.765 * [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))) 8.765 * [backup-simplify]: Simplify (- (- 1 1/2) (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 8.765 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 8.765 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.765 * [taylor]: Taking taylor expansion of 1/2 in x 8.765 * [backup-simplify]: Simplify 1/2 into 1/2 8.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.765 * [taylor]: Taking taylor expansion of 1/2 in x 8.765 * [backup-simplify]: Simplify 1/2 into 1/2 8.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.766 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.766 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.766 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.766 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.766 * [taylor]: Taking taylor expansion of 1 in x 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [taylor]: Taking taylor expansion of 1 in x 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.766 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.766 * [taylor]: Taking taylor expansion of -1 in x 8.766 * [backup-simplify]: Simplify -1 into -1 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (/ -1 1) into -1 8.766 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.766 * [taylor]: Taking taylor expansion of -1 in x 8.766 * [backup-simplify]: Simplify -1 into -1 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.767 * [backup-simplify]: Simplify (/ -1 1) into -1 8.767 * [backup-simplify]: Simplify (* -1 -1) into 1 8.768 * [backup-simplify]: Simplify (+ 0 1) into 1 8.768 * [backup-simplify]: Simplify (sqrt 1) into 1 8.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.771 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.771 * [backup-simplify]: Simplify (+ 0 0) into 0 8.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.772 * [backup-simplify]: Simplify (/ 1 1) into 1 8.772 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.772 * [taylor]: Taking taylor expansion of 1/2 in x 8.772 * [backup-simplify]: Simplify 1/2 into 1/2 8.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.772 * [taylor]: Taking taylor expansion of 1/2 in x 8.772 * [backup-simplify]: Simplify 1/2 into 1/2 8.772 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.772 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.772 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.772 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.772 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.773 * [taylor]: Taking taylor expansion of 1 in x 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [taylor]: Taking taylor expansion of 1 in x 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.773 * [taylor]: Taking taylor expansion of -1 in x 8.773 * [backup-simplify]: Simplify -1 into -1 8.773 * [taylor]: Taking taylor expansion of x in x 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [backup-simplify]: Simplify (/ -1 1) into -1 8.773 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.773 * [taylor]: Taking taylor expansion of -1 in x 8.773 * [backup-simplify]: Simplify -1 into -1 8.773 * [taylor]: Taking taylor expansion of x in x 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.774 * [backup-simplify]: Simplify (/ -1 1) into -1 8.774 * [backup-simplify]: Simplify (* -1 -1) into 1 8.775 * [backup-simplify]: Simplify (+ 0 1) into 1 8.775 * [backup-simplify]: Simplify (sqrt 1) into 1 8.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.777 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.778 * [backup-simplify]: Simplify (+ 0 0) into 0 8.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.779 * [backup-simplify]: Simplify (/ 1 1) into 1 8.779 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.780 * [backup-simplify]: Simplify 1/2 into 1/2 8.780 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.780 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.781 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.781 * [backup-simplify]: Simplify -1/2 into -1/2 8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.783 * [backup-simplify]: Simplify (- 0) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.783 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify (* 1 1) into 1 8.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.787 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.787 * [backup-simplify]: Simplify (+ 1 0) into 1 8.788 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.790 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.791 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.791 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.791 * [backup-simplify]: Simplify 1/4 into 1/4 8.791 * [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)))) 8.792 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.792 * [backup-simplify]: Simplify (+ 1 (log (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 8.792 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 8.792 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 8.792 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 8.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 8.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.792 * [taylor]: Taking taylor expansion of 1/2 in x 8.792 * [backup-simplify]: Simplify 1/2 into 1/2 8.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.792 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.792 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.792 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.792 * [taylor]: Taking taylor expansion of 1 in x 8.792 * [backup-simplify]: Simplify 1 into 1 8.792 * [taylor]: Taking taylor expansion of 1 in x 8.792 * [backup-simplify]: Simplify 1 into 1 8.792 * [taylor]: Taking taylor expansion of (* x x) in x 8.792 * [taylor]: Taking taylor expansion of x in x 8.792 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify 1 into 1 8.792 * [taylor]: Taking taylor expansion of x in x 8.792 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify 1 into 1 8.793 * [backup-simplify]: Simplify (* 1 1) into 1 8.793 * [backup-simplify]: Simplify (* 0 0) into 0 8.794 * [backup-simplify]: Simplify (+ 1 0) into 1 8.794 * [backup-simplify]: Simplify (sqrt 1) into 1 8.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.796 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.796 * [backup-simplify]: Simplify (+ 0 0) into 0 8.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.797 * [backup-simplify]: Simplify (/ 1 1) into 1 8.797 * [taylor]: Taking taylor expansion of 1/2 in x 8.797 * [backup-simplify]: Simplify 1/2 into 1/2 8.798 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.798 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.799 * [backup-simplify]: Simplify (sqrt 1) into 1 8.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.800 * [backup-simplify]: Simplify (+ 0 0) into 0 8.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.801 * [taylor]: Taking taylor expansion of 1 in x 8.801 * [backup-simplify]: Simplify 1 into 1 8.801 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 8.801 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 8.801 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 8.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.801 * [taylor]: Taking taylor expansion of 1/2 in x 8.801 * [backup-simplify]: Simplify 1/2 into 1/2 8.801 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.801 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.802 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.802 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.802 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.802 * [taylor]: Taking taylor expansion of 1 in x 8.802 * [backup-simplify]: Simplify 1 into 1 8.802 * [taylor]: Taking taylor expansion of 1 in x 8.802 * [backup-simplify]: Simplify 1 into 1 8.802 * [taylor]: Taking taylor expansion of (* x x) in x 8.802 * [taylor]: Taking taylor expansion of x in x 8.802 * [backup-simplify]: Simplify 0 into 0 8.802 * [backup-simplify]: Simplify 1 into 1 8.802 * [taylor]: Taking taylor expansion of x in x 8.802 * [backup-simplify]: Simplify 0 into 0 8.802 * [backup-simplify]: Simplify 1 into 1 8.802 * [backup-simplify]: Simplify (* 1 1) into 1 8.803 * [backup-simplify]: Simplify (* 0 0) into 0 8.803 * [backup-simplify]: Simplify (+ 1 0) into 1 8.804 * [backup-simplify]: Simplify (sqrt 1) into 1 8.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.805 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.805 * [backup-simplify]: Simplify (+ 0 0) into 0 8.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.806 * [backup-simplify]: Simplify (/ 1 1) into 1 8.806 * [taylor]: Taking taylor expansion of 1/2 in x 8.806 * [backup-simplify]: Simplify 1/2 into 1/2 8.807 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.807 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.808 * [backup-simplify]: Simplify (sqrt 1) into 1 8.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.810 * [taylor]: Taking taylor expansion of 1 in x 8.810 * [backup-simplify]: Simplify 1 into 1 8.811 * [backup-simplify]: Simplify (+ 1 1) into 2 8.811 * [backup-simplify]: Simplify 2 into 2 8.811 * [backup-simplify]: Simplify (+ 0 0) into 0 8.811 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.814 * [backup-simplify]: Simplify (+ 0 1) into 1 8.815 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.817 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.818 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 8.819 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 8.819 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 8.819 * [backup-simplify]: Simplify -1/8 into -1/8 8.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.821 * [backup-simplify]: Simplify (+ 0 0) into 0 8.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.823 * [backup-simplify]: Simplify (+ 0 0) into 0 8.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 8.824 * [backup-simplify]: Simplify (+ 0 0) into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.826 * [backup-simplify]: Simplify (+ 0 0) into 0 8.827 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.829 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.829 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 8.830 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 8.830 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 8.831 * [backup-simplify]: Simplify 11/128 into 11/128 8.831 * [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))) 8.831 * [backup-simplify]: Simplify (+ 1 (log (exp (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 8.831 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 8.831 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 8.831 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 8.831 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 8.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.831 * [taylor]: Taking taylor expansion of 1/2 in x 8.831 * [backup-simplify]: Simplify 1/2 into 1/2 8.831 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.831 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.831 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.831 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.831 * [taylor]: Taking taylor expansion of 1 in x 8.831 * [backup-simplify]: Simplify 1 into 1 8.831 * [taylor]: Taking taylor expansion of 1 in x 8.831 * [backup-simplify]: Simplify 1 into 1 8.831 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.831 * [taylor]: Taking taylor expansion of x in x 8.831 * [backup-simplify]: Simplify 0 into 0 8.831 * [backup-simplify]: Simplify 1 into 1 8.831 * [backup-simplify]: Simplify (/ 1 1) into 1 8.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.832 * [taylor]: Taking taylor expansion of x in x 8.832 * [backup-simplify]: Simplify 0 into 0 8.832 * [backup-simplify]: Simplify 1 into 1 8.832 * [backup-simplify]: Simplify (/ 1 1) into 1 8.832 * [backup-simplify]: Simplify (* 1 1) into 1 8.832 * [backup-simplify]: Simplify (+ 0 1) into 1 8.833 * [backup-simplify]: Simplify (sqrt 1) into 1 8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.834 * [backup-simplify]: Simplify (+ 0 0) into 0 8.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.839 * [backup-simplify]: Simplify (/ 1 1) into 1 8.839 * [taylor]: Taking taylor expansion of 1/2 in x 8.839 * [backup-simplify]: Simplify 1/2 into 1/2 8.840 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.840 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.840 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.841 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.842 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.842 * [taylor]: Taking taylor expansion of 1 in x 8.842 * [backup-simplify]: Simplify 1 into 1 8.842 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 8.842 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 8.842 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 8.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.842 * [taylor]: Taking taylor expansion of 1/2 in x 8.842 * [backup-simplify]: Simplify 1/2 into 1/2 8.842 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.842 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.842 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.842 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.842 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.842 * [taylor]: Taking taylor expansion of 1 in x 8.842 * [backup-simplify]: Simplify 1 into 1 8.842 * [taylor]: Taking taylor expansion of 1 in x 8.842 * [backup-simplify]: Simplify 1 into 1 8.842 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.842 * [taylor]: Taking taylor expansion of x in x 8.842 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify 1 into 1 8.842 * [backup-simplify]: Simplify (/ 1 1) into 1 8.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.842 * [taylor]: Taking taylor expansion of x in x 8.842 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify 1 into 1 8.843 * [backup-simplify]: Simplify (/ 1 1) into 1 8.843 * [backup-simplify]: Simplify (* 1 1) into 1 8.843 * [backup-simplify]: Simplify (+ 0 1) into 1 8.843 * [backup-simplify]: Simplify (sqrt 1) into 1 8.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.845 * [backup-simplify]: Simplify (+ 0 0) into 0 8.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.846 * [backup-simplify]: Simplify (/ 1 1) into 1 8.846 * [taylor]: Taking taylor expansion of 1/2 in x 8.846 * [backup-simplify]: Simplify 1/2 into 1/2 8.846 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.847 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.847 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.847 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.848 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.848 * [taylor]: Taking taylor expansion of 1 in x 8.848 * [backup-simplify]: Simplify 1 into 1 8.849 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 8.850 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 8.851 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 8.852 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.853 * [backup-simplify]: Simplify (+ 0 0) into 0 8.857 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 8.860 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 8.864 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 8.870 * [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))))) 8.870 * [backup-simplify]: Simplify (+ 1 (log (exp (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 8.870 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 8.871 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 8.871 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 8.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 8.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.871 * [taylor]: Taking taylor expansion of 1/2 in x 8.871 * [backup-simplify]: Simplify 1/2 into 1/2 8.871 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.871 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.871 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.871 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.871 * [taylor]: Taking taylor expansion of 1 in x 8.871 * [backup-simplify]: Simplify 1 into 1 8.871 * [taylor]: Taking taylor expansion of 1 in x 8.871 * [backup-simplify]: Simplify 1 into 1 8.871 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.871 * [taylor]: Taking taylor expansion of -1 in x 8.871 * [backup-simplify]: Simplify -1 into -1 8.871 * [taylor]: Taking taylor expansion of x in x 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (/ -1 1) into -1 8.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.872 * [taylor]: Taking taylor expansion of -1 in x 8.872 * [backup-simplify]: Simplify -1 into -1 8.872 * [taylor]: Taking taylor expansion of x in x 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (/ -1 1) into -1 8.873 * [backup-simplify]: Simplify (* -1 -1) into 1 8.873 * [backup-simplify]: Simplify (+ 0 1) into 1 8.874 * [backup-simplify]: Simplify (sqrt 1) into 1 8.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.876 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.876 * [backup-simplify]: Simplify (+ 0 0) into 0 8.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.877 * [backup-simplify]: Simplify (/ 1 1) into 1 8.878 * [taylor]: Taking taylor expansion of 1/2 in x 8.878 * [backup-simplify]: Simplify 1/2 into 1/2 8.878 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.878 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.879 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.879 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.881 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.881 * [taylor]: Taking taylor expansion of 1 in x 8.881 * [backup-simplify]: Simplify 1 into 1 8.881 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 8.881 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 8.881 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 8.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.881 * [taylor]: Taking taylor expansion of 1/2 in x 8.881 * [backup-simplify]: Simplify 1/2 into 1/2 8.881 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.881 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.881 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.881 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.881 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.881 * [taylor]: Taking taylor expansion of 1 in x 8.881 * [backup-simplify]: Simplify 1 into 1 8.881 * [taylor]: Taking taylor expansion of 1 in x 8.881 * [backup-simplify]: Simplify 1 into 1 8.881 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.882 * [taylor]: Taking taylor expansion of -1 in x 8.882 * [backup-simplify]: Simplify -1 into -1 8.882 * [taylor]: Taking taylor expansion of x in x 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify 1 into 1 8.882 * [backup-simplify]: Simplify (/ -1 1) into -1 8.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.882 * [taylor]: Taking taylor expansion of -1 in x 8.882 * [backup-simplify]: Simplify -1 into -1 8.882 * [taylor]: Taking taylor expansion of x in x 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify 1 into 1 8.883 * [backup-simplify]: Simplify (/ -1 1) into -1 8.883 * [backup-simplify]: Simplify (* -1 -1) into 1 8.884 * [backup-simplify]: Simplify (+ 0 1) into 1 8.884 * [backup-simplify]: Simplify (sqrt 1) into 1 8.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.887 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.887 * [backup-simplify]: Simplify (+ 0 0) into 0 8.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.888 * [backup-simplify]: Simplify (/ 1 1) into 1 8.888 * [taylor]: Taking taylor expansion of 1/2 in x 8.888 * [backup-simplify]: Simplify 1/2 into 1/2 8.889 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.889 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.889 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.890 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.891 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.891 * [taylor]: Taking taylor expansion of 1 in x 8.892 * [backup-simplify]: Simplify 1 into 1 8.892 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 8.893 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 8.895 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 8.897 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.899 * [backup-simplify]: Simplify (+ 0 0) into 0 8.905 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 8.908 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 8.911 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 8.916 * [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)))))) 8.916 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 8.917 * [backup-simplify]: Simplify (log (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 8.917 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 8.917 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 8.917 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 8.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.917 * [taylor]: Taking taylor expansion of 1/2 in x 8.917 * [backup-simplify]: Simplify 1/2 into 1/2 8.917 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.917 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.917 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.917 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.917 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.917 * [taylor]: Taking taylor expansion of 1 in x 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [taylor]: Taking taylor expansion of 1 in x 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [taylor]: Taking taylor expansion of (* x x) in x 8.917 * [taylor]: Taking taylor expansion of x in x 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [taylor]: Taking taylor expansion of x in x 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [backup-simplify]: Simplify (* 1 1) into 1 8.917 * [backup-simplify]: Simplify (* 0 0) into 0 8.918 * [backup-simplify]: Simplify (+ 1 0) into 1 8.918 * [backup-simplify]: Simplify (sqrt 1) into 1 8.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.919 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.919 * [backup-simplify]: Simplify (+ 0 0) into 0 8.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.920 * [backup-simplify]: Simplify (/ 1 1) into 1 8.920 * [taylor]: Taking taylor expansion of 1/2 in x 8.920 * [backup-simplify]: Simplify 1/2 into 1/2 8.920 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.920 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.921 * [backup-simplify]: Simplify (sqrt 1) into 1 8.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.922 * [backup-simplify]: Simplify (+ 0 0) into 0 8.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.922 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 8.922 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 8.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.922 * [taylor]: Taking taylor expansion of 1/2 in x 8.922 * [backup-simplify]: Simplify 1/2 into 1/2 8.922 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.922 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.922 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.922 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.923 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.923 * [taylor]: Taking taylor expansion of 1 in x 8.923 * [backup-simplify]: Simplify 1 into 1 8.923 * [taylor]: Taking taylor expansion of 1 in x 8.923 * [backup-simplify]: Simplify 1 into 1 8.923 * [taylor]: Taking taylor expansion of (* x x) in x 8.923 * [taylor]: Taking taylor expansion of x in x 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 1 into 1 8.923 * [taylor]: Taking taylor expansion of x in x 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 1 into 1 8.923 * [backup-simplify]: Simplify (* 1 1) into 1 8.923 * [backup-simplify]: Simplify (* 0 0) into 0 8.924 * [backup-simplify]: Simplify (+ 1 0) into 1 8.924 * [backup-simplify]: Simplify (sqrt 1) into 1 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.925 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.925 * [backup-simplify]: Simplify (+ 0 0) into 0 8.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.926 * [backup-simplify]: Simplify (/ 1 1) into 1 8.926 * [taylor]: Taking taylor expansion of 1/2 in x 8.926 * [backup-simplify]: Simplify 1/2 into 1/2 8.926 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.926 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 8.926 * [backup-simplify]: Simplify (sqrt 1) into 1 8.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.928 * [backup-simplify]: Simplify (+ 0 0) into 0 8.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.928 * [backup-simplify]: Simplify 1 into 1 8.928 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.930 * [backup-simplify]: Simplify (+ 0 1) into 1 8.930 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.932 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.932 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 8.933 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 8.933 * [backup-simplify]: Simplify -1/8 into -1/8 8.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.935 * [backup-simplify]: Simplify (+ 0 0) into 0 8.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (+ 0 0) into 0 8.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 8.938 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.940 * [backup-simplify]: Simplify (+ 0 0) into 0 8.941 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.944 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.944 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 8.945 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 8.945 * [backup-simplify]: Simplify 11/128 into 11/128 8.945 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 8.945 * [backup-simplify]: Simplify (log (exp (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 8.945 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 8.945 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 8.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 8.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.945 * [taylor]: Taking taylor expansion of 1/2 in x 8.945 * [backup-simplify]: Simplify 1/2 into 1/2 8.945 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.945 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.945 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.945 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.945 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.945 * [taylor]: Taking taylor expansion of 1 in x 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [taylor]: Taking taylor expansion of 1 in x 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.945 * [taylor]: Taking taylor expansion of x in x 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (/ 1 1) into 1 8.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.946 * [taylor]: Taking taylor expansion of x in x 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (/ 1 1) into 1 8.947 * [backup-simplify]: Simplify (* 1 1) into 1 8.947 * [backup-simplify]: Simplify (+ 0 1) into 1 8.947 * [backup-simplify]: Simplify (sqrt 1) into 1 8.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.950 * [backup-simplify]: Simplify (+ 0 0) into 0 8.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.951 * [backup-simplify]: Simplify (/ 1 1) into 1 8.951 * [taylor]: Taking taylor expansion of 1/2 in x 8.951 * [backup-simplify]: Simplify 1/2 into 1/2 8.952 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.952 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.953 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.953 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.955 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.955 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 8.955 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 8.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.955 * [taylor]: Taking taylor expansion of 1/2 in x 8.955 * [backup-simplify]: Simplify 1/2 into 1/2 8.955 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.955 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.955 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.955 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.955 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.955 * [taylor]: Taking taylor expansion of 1 in x 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [taylor]: Taking taylor expansion of 1 in x 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.955 * [taylor]: Taking taylor expansion of x in x 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify (/ 1 1) into 1 8.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.959 * [taylor]: Taking taylor expansion of x in x 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (/ 1 1) into 1 8.960 * [backup-simplify]: Simplify (* 1 1) into 1 8.960 * [backup-simplify]: Simplify (+ 0 1) into 1 8.960 * [backup-simplify]: Simplify (sqrt 1) into 1 8.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.962 * [backup-simplify]: Simplify (+ 0 0) into 0 8.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.963 * [backup-simplify]: Simplify (/ 1 1) into 1 8.963 * [taylor]: Taking taylor expansion of 1/2 in x 8.963 * [backup-simplify]: Simplify 1/2 into 1/2 8.963 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.963 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.964 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.964 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.965 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.965 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.966 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 8.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.967 * [backup-simplify]: Simplify (+ 0 0) into 0 8.970 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 8.972 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 8.973 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 8.974 * [backup-simplify]: Simplify (log (exp (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 8.974 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 8.974 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 8.974 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 8.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.974 * [taylor]: Taking taylor expansion of 1/2 in x 8.974 * [backup-simplify]: Simplify 1/2 into 1/2 8.974 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.974 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.974 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.974 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.974 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.974 * [taylor]: Taking taylor expansion of 1 in x 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [taylor]: Taking taylor expansion of 1 in x 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.974 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.974 * [taylor]: Taking taylor expansion of -1 in x 8.974 * [backup-simplify]: Simplify -1 into -1 8.974 * [taylor]: Taking taylor expansion of x in x 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [backup-simplify]: Simplify (/ -1 1) into -1 8.974 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.974 * [taylor]: Taking taylor expansion of -1 in x 8.974 * [backup-simplify]: Simplify -1 into -1 8.974 * [taylor]: Taking taylor expansion of x in x 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.975 * [backup-simplify]: Simplify (/ -1 1) into -1 8.975 * [backup-simplify]: Simplify (* -1 -1) into 1 8.975 * [backup-simplify]: Simplify (+ 0 1) into 1 8.975 * [backup-simplify]: Simplify (sqrt 1) into 1 8.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.977 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.977 * [backup-simplify]: Simplify (+ 0 0) into 0 8.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.978 * [backup-simplify]: Simplify (/ 1 1) into 1 8.978 * [taylor]: Taking taylor expansion of 1/2 in x 8.978 * [backup-simplify]: Simplify 1/2 into 1/2 8.978 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.979 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.979 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.979 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.980 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.980 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 8.980 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 8.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.980 * [taylor]: Taking taylor expansion of 1/2 in x 8.980 * [backup-simplify]: Simplify 1/2 into 1/2 8.980 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.980 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.980 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.980 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.980 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.980 * [taylor]: Taking taylor expansion of 1 in x 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [taylor]: Taking taylor expansion of 1 in x 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.981 * [taylor]: Taking taylor expansion of -1 in x 8.981 * [backup-simplify]: Simplify -1 into -1 8.981 * [taylor]: Taking taylor expansion of x in x 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (/ -1 1) into -1 8.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.981 * [taylor]: Taking taylor expansion of -1 in x 8.981 * [backup-simplify]: Simplify -1 into -1 8.981 * [taylor]: Taking taylor expansion of x in x 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (/ -1 1) into -1 8.982 * [backup-simplify]: Simplify (* -1 -1) into 1 8.982 * [backup-simplify]: Simplify (+ 0 1) into 1 8.982 * [backup-simplify]: Simplify (sqrt 1) into 1 8.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.984 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.984 * [backup-simplify]: Simplify (+ 0 0) into 0 8.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.985 * [backup-simplify]: Simplify (/ 1 1) into 1 8.985 * [taylor]: Taking taylor expansion of 1/2 in x 8.985 * [backup-simplify]: Simplify 1/2 into 1/2 8.985 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.985 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.986 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.986 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.987 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 8.988 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.988 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 8.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.990 * [backup-simplify]: Simplify (+ 0 0) into 0 8.996 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 8.998 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 9.001 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 9.001 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 9.001 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 9.001 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 9.002 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 9.002 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.002 * [taylor]: Taking taylor expansion of 1/2 in x 9.002 * [backup-simplify]: Simplify 1/2 into 1/2 9.002 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.002 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.002 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.002 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.002 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.002 * [taylor]: Taking taylor expansion of 1 in x 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [taylor]: Taking taylor expansion of 1 in x 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [taylor]: Taking taylor expansion of (* x x) in x 9.002 * [taylor]: Taking taylor expansion of x in x 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [taylor]: Taking taylor expansion of x in x 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [backup-simplify]: Simplify (* 1 1) into 1 9.003 * [backup-simplify]: Simplify (* 0 0) into 0 9.003 * [backup-simplify]: Simplify (+ 1 0) into 1 9.004 * [backup-simplify]: Simplify (sqrt 1) into 1 9.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.005 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.005 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.007 * [backup-simplify]: Simplify (/ 1 1) into 1 9.007 * [taylor]: Taking taylor expansion of 1/2 in x 9.007 * [backup-simplify]: Simplify 1/2 into 1/2 9.007 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.007 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.008 * [backup-simplify]: Simplify (sqrt 1) into 1 9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.010 * [backup-simplify]: Simplify (+ 0 0) into 0 9.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.011 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 9.011 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.011 * [taylor]: Taking taylor expansion of 1/2 in x 9.011 * [backup-simplify]: Simplify 1/2 into 1/2 9.011 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.011 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.011 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.011 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.011 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.011 * [taylor]: Taking taylor expansion of 1 in x 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [taylor]: Taking taylor expansion of 1 in x 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [taylor]: Taking taylor expansion of (* x x) in x 9.011 * [taylor]: Taking taylor expansion of x in x 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [taylor]: Taking taylor expansion of x in x 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.012 * [backup-simplify]: Simplify (* 1 1) into 1 9.012 * [backup-simplify]: Simplify (* 0 0) into 0 9.013 * [backup-simplify]: Simplify (+ 1 0) into 1 9.013 * [backup-simplify]: Simplify (sqrt 1) into 1 9.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.014 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.015 * [backup-simplify]: Simplify (+ 0 0) into 0 9.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.016 * [backup-simplify]: Simplify (/ 1 1) into 1 9.016 * [taylor]: Taking taylor expansion of 1/2 in x 9.016 * [backup-simplify]: Simplify 1/2 into 1/2 9.017 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.017 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.017 * [backup-simplify]: Simplify (sqrt 1) into 1 9.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.019 * [backup-simplify]: Simplify (+ 0 0) into 0 9.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.023 * [backup-simplify]: Simplify (+ 0 1) into 1 9.024 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.025 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.026 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.026 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 9.026 * [backup-simplify]: Simplify -1/8 into -1/8 9.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.028 * [backup-simplify]: Simplify (+ 0 0) into 0 9.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.031 * [backup-simplify]: Simplify (+ 0 0) into 0 9.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.036 * [backup-simplify]: Simplify (+ 0 0) into 0 9.037 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.040 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.041 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 9.042 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 9.042 * [backup-simplify]: Simplify 11/128 into 11/128 9.043 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 9.043 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 9.043 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 9.043 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 9.043 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.043 * [taylor]: Taking taylor expansion of 1/2 in x 9.043 * [backup-simplify]: Simplify 1/2 into 1/2 9.043 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.043 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.043 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.043 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.043 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.043 * [taylor]: Taking taylor expansion of 1 in x 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [taylor]: Taking taylor expansion of 1 in x 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.043 * [taylor]: Taking taylor expansion of x in x 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.044 * [backup-simplify]: Simplify (/ 1 1) into 1 9.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.044 * [taylor]: Taking taylor expansion of x in x 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 1 into 1 9.044 * [backup-simplify]: Simplify (/ 1 1) into 1 9.045 * [backup-simplify]: Simplify (* 1 1) into 1 9.045 * [backup-simplify]: Simplify (+ 0 1) into 1 9.045 * [backup-simplify]: Simplify (sqrt 1) into 1 9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.049 * [backup-simplify]: Simplify (/ 1 1) into 1 9.049 * [taylor]: Taking taylor expansion of 1/2 in x 9.049 * [backup-simplify]: Simplify 1/2 into 1/2 9.050 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.050 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.051 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.051 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.053 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 9.053 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 9.053 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.053 * [taylor]: Taking taylor expansion of 1/2 in x 9.053 * [backup-simplify]: Simplify 1/2 into 1/2 9.053 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.053 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.053 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.053 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.053 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.053 * [taylor]: Taking taylor expansion of 1 in x 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [taylor]: Taking taylor expansion of 1 in x 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.053 * [taylor]: Taking taylor expansion of x in x 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.054 * [taylor]: Taking taylor expansion of x in x 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.055 * [backup-simplify]: Simplify (* 1 1) into 1 9.055 * [backup-simplify]: Simplify (+ 0 1) into 1 9.055 * [backup-simplify]: Simplify (sqrt 1) into 1 9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.058 * [backup-simplify]: Simplify (+ 0 0) into 0 9.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.060 * [backup-simplify]: Simplify (/ 1 1) into 1 9.060 * [taylor]: Taking taylor expansion of 1/2 in x 9.060 * [backup-simplify]: Simplify 1/2 into 1/2 9.060 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.060 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.061 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.061 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.063 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 9.063 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.064 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 9.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.065 * [backup-simplify]: Simplify (+ 0 0) into 0 9.068 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 9.069 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 9.071 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 9.071 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 9.071 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 9.071 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 9.072 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.072 * [taylor]: Taking taylor expansion of 1/2 in x 9.072 * [backup-simplify]: Simplify 1/2 into 1/2 9.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.072 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.072 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.072 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.072 * [taylor]: Taking taylor expansion of 1 in x 9.072 * [backup-simplify]: Simplify 1 into 1 9.072 * [taylor]: Taking taylor expansion of 1 in x 9.072 * [backup-simplify]: Simplify 1 into 1 9.072 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.072 * [taylor]: Taking taylor expansion of -1 in x 9.072 * [backup-simplify]: Simplify -1 into -1 9.072 * [taylor]: Taking taylor expansion of x in x 9.072 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify 1 into 1 9.072 * [backup-simplify]: Simplify (/ -1 1) into -1 9.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.072 * [taylor]: Taking taylor expansion of -1 in x 9.072 * [backup-simplify]: Simplify -1 into -1 9.072 * [taylor]: Taking taylor expansion of x in x 9.072 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify 1 into 1 9.073 * [backup-simplify]: Simplify (/ -1 1) into -1 9.073 * [backup-simplify]: Simplify (* -1 -1) into 1 9.073 * [backup-simplify]: Simplify (+ 0 1) into 1 9.073 * [backup-simplify]: Simplify (sqrt 1) into 1 9.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.080 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.080 * [backup-simplify]: Simplify (+ 0 0) into 0 9.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.081 * [backup-simplify]: Simplify (/ 1 1) into 1 9.081 * [taylor]: Taking taylor expansion of 1/2 in x 9.081 * [backup-simplify]: Simplify 1/2 into 1/2 9.081 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.082 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.082 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.082 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.083 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 9.083 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 9.083 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.083 * [taylor]: Taking taylor expansion of 1/2 in x 9.083 * [backup-simplify]: Simplify 1/2 into 1/2 9.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.084 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.084 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.084 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.084 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.084 * [taylor]: Taking taylor expansion of 1 in x 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [taylor]: Taking taylor expansion of 1 in x 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.084 * [taylor]: Taking taylor expansion of -1 in x 9.084 * [backup-simplify]: Simplify -1 into -1 9.084 * [taylor]: Taking taylor expansion of x in x 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [backup-simplify]: Simplify (/ -1 1) into -1 9.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.084 * [taylor]: Taking taylor expansion of -1 in x 9.084 * [backup-simplify]: Simplify -1 into -1 9.084 * [taylor]: Taking taylor expansion of x in x 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (/ -1 1) into -1 9.085 * [backup-simplify]: Simplify (* -1 -1) into 1 9.085 * [backup-simplify]: Simplify (+ 0 1) into 1 9.085 * [backup-simplify]: Simplify (sqrt 1) into 1 9.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.087 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.087 * [backup-simplify]: Simplify (+ 0 0) into 0 9.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.088 * [backup-simplify]: Simplify (/ 1 1) into 1 9.088 * [taylor]: Taking taylor expansion of 1/2 in x 9.088 * [backup-simplify]: Simplify 1/2 into 1/2 9.089 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.089 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.089 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.090 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.091 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 9.091 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.092 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 9.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.094 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 9.100 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 9.102 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 9.102 * * * [progress]: simplifying candidates 9.102 * * * * [progress]: [ 1 / 195 ] simplifiying candidate # 9.102 * * * * [progress]: [ 2 / 195 ] simplifiying candidate # 9.102 * * * * [progress]: [ 3 / 195 ] simplifiying candidate # 9.103 * * * * [progress]: [ 4 / 195 ] simplifiying candidate # 9.103 * * * * [progress]: [ 5 / 195 ] simplifiying candidate # 9.103 * * * * [progress]: [ 6 / 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* [progress]: [ 22 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 23 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 24 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 25 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 26 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 27 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 28 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 29 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 30 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 31 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 32 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 33 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 34 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 35 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 36 / 195 ] simplifiying candidate # 9.104 * * * * [progress]: [ 37 / 195 ] simplifiying 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195 ] simplifiying candidate # 9.115 * * * * [progress]: [ 188 / 195 ] simplifiying candidate # 9.116 * * * * [progress]: [ 189 / 195 ] simplifiying candidate # 9.116 * * * * [progress]: [ 190 / 195 ] simplifiying candidate # 9.116 * * * * [progress]: [ 191 / 195 ] simplifiying candidate # 9.116 * * * * [progress]: [ 192 / 195 ] simplifiying candidate # 9.116 * * * * [progress]: [ 193 / 195 ] simplifiying candidate # 9.116 * * * * [progress]: [ 194 / 195 ] simplifiying candidate # 9.116 * * * * [progress]: [ 195 / 195 ] simplifiying candidate # 9.119 * [simplify]: Simplifying: (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 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 (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 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 (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (fma (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2))) (cbrt (- 1 1/2)) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* 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iteration 2: (1374 enodes) 9.704 * * [simplify]: Extracting #0: cost 109 inf + 0 9.705 * * [simplify]: Extracting #1: cost 469 inf + 72 9.708 * * [simplify]: Extracting #2: cost 875 inf + 2103 9.714 * * [simplify]: Extracting #3: cost 885 inf + 11364 9.738 * * [simplify]: Extracting #4: cost 572 inf + 70438 9.777 * * [simplify]: Extracting #5: cost 174 inf + 172465 9.817 * * [simplify]: Extracting #6: cost 45 inf + 210188 9.869 * * [simplify]: Extracting #7: cost 9 inf + 221958 9.910 * * [simplify]: Extracting #8: cost 0 inf + 225079 9.982 * [simplify]: Simplified to: (- (* (cbrt (- 1 1/2)) (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2)))) (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) (- 1) (/ 1/2 (hypot 1 x))) (- (* (cbrt (- 1 1/2)) (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2)))) (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) (- 1) (/ 1/2 (hypot 1 x))) (- (* (cbrt (- 1 1/2)) (* (cbrt (- 1 1/2)) (cbrt (- 1 1/2)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt 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(hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (- (+ (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (- 1 1/2) (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1 (log (cbrt (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (log (cbrt (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (log (sqrt (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ (log 1) 1) (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (log (cbrt (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log (cbrt (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (log (cbrt (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log (sqrt (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log (sqrt (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (fma (* 1/2 1/2) 1/2 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (fma 1/2 (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma 1/4 (* x x) (- (* 5/32 (pow x 6)) (* 3/16 (pow x 4)))) (- (+ (/ 1/4 (* (* x x) x)) 1/2) (/ 1/2 x)) (+ 1/2 (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (- (fma 11/128 (pow x 4) 2) (* x (* x 1/8))) (- (+ (/ 1/4 (* (sqrt 1/2) x)) (+ 1 (sqrt 1/2))) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (- (+ 1 (sqrt 1/2)) (+ (/ 1/4 (* (sqrt 1/2) x)) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))))) (fma 11/128 (pow x 4) (- 1 (* x (* x 1/8)))) (+ (/ 1/4 (* (sqrt 1/2) x)) (- (sqrt 1/2) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))))) (- (- (sqrt 1/2) (/ 1/4 (* (sqrt 1/2) x))) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (fma 11/128 (pow x 4) (- 1 (* x (* x 1/8)))) (+ (/ 1/4 (* (sqrt 1/2) x)) (- (sqrt 1/2) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))))) (- (- (sqrt 1/2) (/ 1/4 (* (sqrt 1/2) x))) (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) 10.025 * * * [progress]: adding candidates to table 12.529 * * [progress]: iteration 4 / 4 12.530 * * * [progress]: picking best candidate 12.549 * * * * [pick]: Picked # 12.549 * * * [progress]: localizing error 12.584 * * * [progress]: generating rewritten candidates 12.584 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 12.589 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 3) 12.599 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 12.611 * * * [progress]: generating series expansions 12.611 * * * * [progress]: [ 1 / 3 ] generating series at (2) 12.612 * [backup-simplify]: Simplify (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4))) into (- (fma 1/8 (pow x 2) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 12.612 * [approximate]: Taking taylor expansion of (- (fma 1/8 (pow x 2) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) in (x) around 0 12.612 * [taylor]: Taking taylor expansion of (- (fma 1/8 (pow x 2) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) in x 12.612 * [taylor]: Taking taylor expansion of (fma 1/8 (pow x 2) (* 69/1024 (pow x 6))) in x 12.612 * [taylor]: Rewrote expression to (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) 12.612 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 2)) in x 12.612 * [taylor]: Taking taylor expansion of 1/8 in x 12.612 * [backup-simplify]: Simplify 1/8 into 1/8 12.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.612 * [taylor]: Taking taylor expansion of x in x 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.612 * [taylor]: Taking taylor expansion of (* 69/1024 (pow x 6)) in x 12.612 * [taylor]: Taking taylor expansion of 69/1024 in x 12.612 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.612 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.612 * [taylor]: Taking taylor expansion of x in x 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.612 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 4)) in x 12.612 * [taylor]: Taking taylor expansion of 11/128 in x 12.612 * [backup-simplify]: Simplify 11/128 into 11/128 12.612 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.612 * [taylor]: Taking taylor expansion of x in x 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.612 * [taylor]: Taking taylor expansion of (- (fma 1/8 (pow x 2) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) in x 12.612 * [taylor]: Taking taylor expansion of (fma 1/8 (pow x 2) (* 69/1024 (pow x 6))) in x 12.613 * [taylor]: Rewrote expression to (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) 12.613 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 2)) in x 12.613 * [taylor]: Taking taylor expansion of 1/8 in x 12.613 * [backup-simplify]: Simplify 1/8 into 1/8 12.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.613 * [taylor]: Taking taylor expansion of x in x 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.613 * [taylor]: Taking taylor expansion of (* 69/1024 (pow x 6)) in x 12.613 * [taylor]: Taking taylor expansion of 69/1024 in x 12.613 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.613 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.613 * [taylor]: Taking taylor expansion of x in x 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.613 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 4)) in x 12.613 * [taylor]: Taking taylor expansion of 11/128 in x 12.613 * [backup-simplify]: Simplify 11/128 into 11/128 12.613 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.613 * [taylor]: Taking taylor expansion of x in x 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.614 * [backup-simplify]: Simplify (* 1 1) into 1 12.614 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 12.615 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.615 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.615 * [backup-simplify]: Simplify 1/8 into 1/8 12.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.617 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 12.617 * [backup-simplify]: Simplify (+ 0 0) into 0 12.618 * [backup-simplify]: Simplify (+ 0 0) into 0 12.618 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.620 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 12.620 * [backup-simplify]: Simplify (+ 0 0) into 0 12.620 * [backup-simplify]: Simplify (* 1 1) into 1 12.621 * [backup-simplify]: Simplify (* 1 1) into 1 12.621 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.622 * [backup-simplify]: Simplify (- 11/128) into -11/128 12.622 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.622 * [backup-simplify]: Simplify -11/128 into -11/128 12.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.624 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.625 * [backup-simplify]: Simplify (+ 0 0) into 0 12.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.627 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 12.627 * [backup-simplify]: Simplify (- 0) into 0 12.627 * [backup-simplify]: Simplify (+ 0 0) into 0 12.627 * [backup-simplify]: Simplify 0 into 0 12.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.634 * [backup-simplify]: Simplify (* 1 1) into 1 12.634 * [backup-simplify]: Simplify (* 1 1) into 1 12.634 * [backup-simplify]: Simplify (* 1 1) into 1 12.635 * [backup-simplify]: Simplify (* 69/1024 1) into 69/1024 12.635 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.637 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 12.637 * [backup-simplify]: Simplify (- 0) into 0 12.637 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 12.638 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.638 * [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))) 12.638 * [backup-simplify]: Simplify (- (fma 1/8 (* (/ 1 x) (/ 1 x)) (* (pow (/ 1 x) 6) 69/1024)) (* 11/128 (pow (/ 1 x) 4))) into (- (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) (* 11/128 (/ 1 (pow x 4)))) 12.638 * [approximate]: Taking taylor expansion of (- (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) (* 11/128 (/ 1 (pow x 4)))) in (x) around 0 12.638 * [taylor]: Taking taylor expansion of (- (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) (* 11/128 (/ 1 (pow x 4)))) in x 12.638 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) in x 12.638 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ 69/1024 (pow x 6))) 12.638 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 12.638 * [taylor]: Taking taylor expansion of 1/8 in x 12.638 * [backup-simplify]: Simplify 1/8 into 1/8 12.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.638 * [taylor]: Taking taylor expansion of x in x 12.638 * [backup-simplify]: Simplify 0 into 0 12.638 * [backup-simplify]: Simplify 1 into 1 12.639 * [backup-simplify]: Simplify (* 1 1) into 1 12.639 * [backup-simplify]: Simplify (/ 1 1) into 1 12.639 * [taylor]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in x 12.639 * [taylor]: Taking taylor expansion of 69/1024 in x 12.639 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.639 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.639 * [taylor]: Taking taylor expansion of x in x 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify 1 into 1 12.639 * [backup-simplify]: Simplify (* 1 1) into 1 12.639 * [backup-simplify]: Simplify (* 1 1) into 1 12.640 * [backup-simplify]: Simplify (* 1 1) into 1 12.640 * [backup-simplify]: Simplify (/ 69/1024 1) into 69/1024 12.640 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 4))) in x 12.640 * [taylor]: Taking taylor expansion of 11/128 in x 12.640 * [backup-simplify]: Simplify 11/128 into 11/128 12.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.640 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.640 * [taylor]: Taking taylor expansion of x in x 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [backup-simplify]: Simplify (* 1 1) into 1 12.641 * [backup-simplify]: Simplify (* 1 1) into 1 12.641 * [backup-simplify]: Simplify (/ 1 1) into 1 12.641 * [taylor]: Taking taylor expansion of (- (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) (* 11/128 (/ 1 (pow x 4)))) in x 12.641 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) in x 12.641 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ 69/1024 (pow x 6))) 12.641 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 12.641 * [taylor]: Taking taylor expansion of 1/8 in x 12.641 * [backup-simplify]: Simplify 1/8 into 1/8 12.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.641 * [taylor]: Taking taylor expansion of x in x 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify 1 into 1 12.641 * [backup-simplify]: Simplify (* 1 1) into 1 12.642 * [backup-simplify]: Simplify (/ 1 1) into 1 12.642 * [taylor]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in x 12.642 * [taylor]: Taking taylor expansion of 69/1024 in x 12.642 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.642 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.642 * [taylor]: Taking taylor expansion of x in x 12.642 * [backup-simplify]: Simplify 0 into 0 12.642 * [backup-simplify]: Simplify 1 into 1 12.642 * [backup-simplify]: Simplify (* 1 1) into 1 12.642 * [backup-simplify]: Simplify (* 1 1) into 1 12.642 * [backup-simplify]: Simplify (* 1 1) into 1 12.643 * [backup-simplify]: Simplify (/ 69/1024 1) into 69/1024 12.643 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 4))) in x 12.643 * [taylor]: Taking taylor expansion of 11/128 in x 12.643 * [backup-simplify]: Simplify 11/128 into 11/128 12.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.643 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.643 * [taylor]: Taking taylor expansion of x in x 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 1 into 1 12.643 * [backup-simplify]: Simplify (* 1 1) into 1 12.643 * [backup-simplify]: Simplify (* 1 1) into 1 12.644 * [backup-simplify]: Simplify (/ 1 1) into 1 12.644 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 12.644 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 12.644 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)))) into 0 12.646 * [backup-simplify]: Simplify (+ 0 0) into 0 12.647 * [backup-simplify]: Simplify (+ 0 0) into 0 12.647 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.651 * [backup-simplify]: Simplify (+ 0 0) into 0 12.651 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.652 * [backup-simplify]: Simplify (- 11/128) into -11/128 12.652 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.652 * [backup-simplify]: Simplify -11/128 into -11/128 12.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.657 * [backup-simplify]: Simplify (+ 0 0) into 0 12.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.660 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 12.660 * [backup-simplify]: Simplify (- 0) into 0 12.661 * [backup-simplify]: Simplify (+ 0 0) into 0 12.661 * [backup-simplify]: Simplify 0 into 0 12.661 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 12.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.665 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.669 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 12.669 * [backup-simplify]: Simplify (- 0) into 0 12.669 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.669 * [backup-simplify]: Simplify 1/8 into 1/8 12.670 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 x)) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 x)) 4)) (* 69/1024 (pow (/ 1 (/ 1 x)) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 12.670 * [backup-simplify]: Simplify (- (fma 1/8 (* (/ 1 (- x)) (/ 1 (- x))) (* (pow (/ 1 (- x)) 6) 69/1024)) (* 11/128 (pow (/ 1 (- x)) 4))) into (- (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) (* 11/128 (/ 1 (pow x 4)))) 12.670 * [approximate]: Taking taylor expansion of (- (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) (* 11/128 (/ 1 (pow x 4)))) in (x) around 0 12.670 * [taylor]: Taking taylor expansion of (- (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) (* 11/128 (/ 1 (pow x 4)))) in x 12.670 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) in x 12.671 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ 69/1024 (pow x 6))) 12.671 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 12.671 * [taylor]: Taking taylor expansion of 1/8 in x 12.671 * [backup-simplify]: Simplify 1/8 into 1/8 12.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.671 * [taylor]: Taking taylor expansion of x in x 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify 1 into 1 12.671 * [backup-simplify]: Simplify (* 1 1) into 1 12.672 * [backup-simplify]: Simplify (/ 1 1) into 1 12.672 * [taylor]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in x 12.672 * [taylor]: Taking taylor expansion of 69/1024 in x 12.672 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.672 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.672 * [taylor]: Taking taylor expansion of x in x 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 1 into 1 12.672 * [backup-simplify]: Simplify (* 1 1) into 1 12.672 * [backup-simplify]: Simplify (* 1 1) into 1 12.673 * [backup-simplify]: Simplify (* 1 1) into 1 12.673 * [backup-simplify]: Simplify (/ 69/1024 1) into 69/1024 12.673 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 4))) in x 12.673 * [taylor]: Taking taylor expansion of 11/128 in x 12.673 * [backup-simplify]: Simplify 11/128 into 11/128 12.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.673 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.673 * [taylor]: Taking taylor expansion of x in x 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.674 * [backup-simplify]: Simplify (* 1 1) into 1 12.674 * [backup-simplify]: Simplify (* 1 1) into 1 12.675 * [backup-simplify]: Simplify (/ 1 1) into 1 12.675 * [taylor]: Taking taylor expansion of (- (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) (* 11/128 (/ 1 (pow x 4)))) in x 12.675 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ 69/1024 (pow x 6))) in x 12.675 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ 69/1024 (pow x 6))) 12.675 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 12.675 * [taylor]: Taking taylor expansion of 1/8 in x 12.675 * [backup-simplify]: Simplify 1/8 into 1/8 12.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.675 * [taylor]: Taking taylor expansion of x in x 12.675 * [backup-simplify]: Simplify 0 into 0 12.675 * [backup-simplify]: Simplify 1 into 1 12.675 * [backup-simplify]: Simplify (* 1 1) into 1 12.676 * [backup-simplify]: Simplify (/ 1 1) into 1 12.676 * [taylor]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in x 12.676 * [taylor]: Taking taylor expansion of 69/1024 in x 12.676 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.676 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.676 * [taylor]: Taking taylor expansion of x in x 12.676 * [backup-simplify]: Simplify 0 into 0 12.676 * [backup-simplify]: Simplify 1 into 1 12.676 * [backup-simplify]: Simplify (* 1 1) into 1 12.677 * [backup-simplify]: Simplify (* 1 1) into 1 12.677 * [backup-simplify]: Simplify (* 1 1) into 1 12.677 * [backup-simplify]: Simplify (/ 69/1024 1) into 69/1024 12.677 * [taylor]: Taking taylor expansion of (* 11/128 (/ 1 (pow x 4))) in x 12.677 * [taylor]: Taking taylor expansion of 11/128 in x 12.677 * [backup-simplify]: Simplify 11/128 into 11/128 12.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.677 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.677 * [taylor]: Taking taylor expansion of x in x 12.677 * [backup-simplify]: Simplify 0 into 0 12.677 * [backup-simplify]: Simplify 1 into 1 12.678 * [backup-simplify]: Simplify (* 1 1) into 1 12.678 * [backup-simplify]: Simplify (* 1 1) into 1 12.678 * [backup-simplify]: Simplify (/ 1 1) into 1 12.679 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 12.679 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 12.679 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)))) into 0 12.681 * [backup-simplify]: Simplify (+ 0 0) into 0 12.681 * [backup-simplify]: Simplify (+ 0 0) into 0 12.681 * [backup-simplify]: Simplify 0 into 0 12.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.684 * [backup-simplify]: Simplify (+ 0 0) into 0 12.684 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.684 * [backup-simplify]: Simplify (- 11/128) into -11/128 12.685 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 12.685 * [backup-simplify]: Simplify -11/128 into -11/128 12.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.687 * [backup-simplify]: Simplify (+ 0 0) into 0 12.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.689 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 12.690 * [backup-simplify]: Simplify (- 0) into 0 12.690 * [backup-simplify]: Simplify (+ 0 0) into 0 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 12.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.693 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.696 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 12.696 * [backup-simplify]: Simplify (- 0) into 0 12.696 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.696 * [backup-simplify]: Simplify 1/8 into 1/8 12.697 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 (- x))) 4)) (* 69/1024 (pow (/ 1 (/ 1 (- x))) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 12.697 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 3) 12.697 * [backup-simplify]: Simplify (* (pow x 6) 69/1024) into (* 69/1024 (pow x 6)) 12.697 * [approximate]: Taking taylor expansion of (* 69/1024 (pow x 6)) in (x) around 0 12.697 * [taylor]: Taking taylor expansion of (* 69/1024 (pow x 6)) in x 12.697 * [taylor]: Taking taylor expansion of 69/1024 in x 12.697 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.697 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.697 * [taylor]: Taking taylor expansion of x in x 12.697 * [backup-simplify]: Simplify 0 into 0 12.697 * [backup-simplify]: Simplify 1 into 1 12.697 * [taylor]: Taking taylor expansion of (* 69/1024 (pow x 6)) in x 12.697 * [taylor]: Taking taylor expansion of 69/1024 in x 12.697 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.697 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.697 * [taylor]: Taking taylor expansion of x in x 12.697 * [backup-simplify]: Simplify 0 into 0 12.697 * [backup-simplify]: Simplify 1 into 1 12.697 * [backup-simplify]: Simplify (* 1 1) into 1 12.697 * [backup-simplify]: Simplify (* 1 1) into 1 12.698 * [backup-simplify]: Simplify (* 1 1) into 1 12.698 * [backup-simplify]: Simplify (* 69/1024 1) into 69/1024 12.698 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.700 * [backup-simplify]: Simplify (+ (* 69/1024 0) (* 0 1)) into 0 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.702 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (* 0 1))) into 0 12.702 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.705 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.705 * [backup-simplify]: Simplify 0 into 0 12.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.708 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.708 * [backup-simplify]: Simplify 0 into 0 12.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.711 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.711 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.716 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.716 * [backup-simplify]: Simplify 0 into 0 12.716 * [backup-simplify]: Simplify (* 69/1024 (pow x 6)) into (* 69/1024 (pow x 6)) 12.717 * [backup-simplify]: Simplify (* (pow (/ 1 x) 6) 69/1024) into (/ 69/1024 (pow x 6)) 12.717 * [approximate]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in (x) around 0 12.717 * [taylor]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in x 12.717 * [taylor]: Taking taylor expansion of 69/1024 in x 12.717 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.717 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.717 * [taylor]: Taking taylor expansion of x in x 12.717 * [backup-simplify]: Simplify 0 into 0 12.717 * [backup-simplify]: Simplify 1 into 1 12.717 * [backup-simplify]: Simplify (* 1 1) into 1 12.718 * [backup-simplify]: Simplify (* 1 1) into 1 12.719 * [backup-simplify]: Simplify (* 1 1) into 1 12.719 * [backup-simplify]: Simplify (/ 69/1024 1) into 69/1024 12.719 * [taylor]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in x 12.719 * [taylor]: Taking taylor expansion of 69/1024 in x 12.719 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.719 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.719 * [taylor]: Taking taylor expansion of x in x 12.719 * [backup-simplify]: Simplify 0 into 0 12.719 * [backup-simplify]: Simplify 1 into 1 12.720 * [backup-simplify]: Simplify (* 1 1) into 1 12.720 * [backup-simplify]: Simplify (* 1 1) into 1 12.720 * [backup-simplify]: Simplify (* 1 1) into 1 12.721 * [backup-simplify]: Simplify (/ 69/1024 1) into 69/1024 12.721 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)))) into 0 12.724 * [backup-simplify]: Simplify 0 into 0 12.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.729 * [backup-simplify]: Simplify 0 into 0 12.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.733 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.738 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.744 * [backup-simplify]: Simplify 0 into 0 12.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.754 * [backup-simplify]: Simplify 0 into 0 12.754 * [backup-simplify]: Simplify (* 69/1024 (pow (/ 1 (/ 1 x)) 6)) into (* 69/1024 (pow x 6)) 12.754 * [backup-simplify]: Simplify (* (pow (/ 1 (- x)) 6) 69/1024) into (/ 69/1024 (pow x 6)) 12.754 * [approximate]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in (x) around 0 12.754 * [taylor]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in x 12.754 * [taylor]: Taking taylor expansion of 69/1024 in x 12.754 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.754 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.754 * [taylor]: Taking taylor expansion of x in x 12.754 * [backup-simplify]: Simplify 0 into 0 12.754 * [backup-simplify]: Simplify 1 into 1 12.755 * [backup-simplify]: Simplify (* 1 1) into 1 12.755 * [backup-simplify]: Simplify (* 1 1) into 1 12.755 * [backup-simplify]: Simplify (* 1 1) into 1 12.755 * [backup-simplify]: Simplify (/ 69/1024 1) into 69/1024 12.755 * [taylor]: Taking taylor expansion of (/ 69/1024 (pow x 6)) in x 12.755 * [taylor]: Taking taylor expansion of 69/1024 in x 12.755 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.756 * [taylor]: Taking taylor expansion of (pow x 6) in x 12.756 * [taylor]: Taking taylor expansion of x in x 12.756 * [backup-simplify]: Simplify 0 into 0 12.756 * [backup-simplify]: Simplify 1 into 1 12.756 * [backup-simplify]: Simplify (* 1 1) into 1 12.756 * [backup-simplify]: Simplify (* 1 1) into 1 12.756 * [backup-simplify]: Simplify (* 1 1) into 1 12.757 * [backup-simplify]: Simplify (/ 69/1024 1) into 69/1024 12.757 * [backup-simplify]: Simplify 69/1024 into 69/1024 12.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)))) into 0 12.759 * [backup-simplify]: Simplify 0 into 0 12.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.761 * [backup-simplify]: Simplify 0 into 0 12.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.764 * [backup-simplify]: Simplify 0 into 0 12.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.767 * [backup-simplify]: Simplify 0 into 0 12.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.770 * [backup-simplify]: Simplify 0 into 0 12.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 69/1024 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.773 * [backup-simplify]: Simplify 0 into 0 12.773 * [backup-simplify]: Simplify (* 69/1024 (pow (/ 1 (/ 1 (- x))) 6)) into (* 69/1024 (pow x 6)) 12.773 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 12.774 * [backup-simplify]: Simplify (* 11/128 (pow x 4)) into (* 11/128 (pow x 4)) 12.774 * [approximate]: Taking taylor expansion of (* 11/128 (pow x 4)) in (x) around 0 12.774 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 4)) in x 12.774 * [taylor]: Taking taylor expansion of 11/128 in x 12.774 * [backup-simplify]: Simplify 11/128 into 11/128 12.774 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.774 * [taylor]: Taking taylor expansion of x in x 12.774 * [backup-simplify]: Simplify 0 into 0 12.774 * [backup-simplify]: Simplify 1 into 1 12.774 * [taylor]: Taking taylor expansion of (* 11/128 (pow x 4)) in x 12.774 * [taylor]: Taking taylor expansion of 11/128 in x 12.774 * [backup-simplify]: Simplify 11/128 into 11/128 12.774 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.774 * [taylor]: Taking taylor expansion of x in x 12.774 * [backup-simplify]: Simplify 0 into 0 12.774 * [backup-simplify]: Simplify 1 into 1 12.774 * [backup-simplify]: Simplify (* 1 1) into 1 12.774 * [backup-simplify]: Simplify (* 1 1) into 1 12.775 * [backup-simplify]: Simplify (* 11/128 1) into 11/128 12.775 * [backup-simplify]: Simplify 11/128 into 11/128 12.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.777 * [backup-simplify]: Simplify (+ (* 11/128 0) (* 0 1)) into 0 12.777 * [backup-simplify]: Simplify 0 into 0 12.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.780 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (* 0 1))) into 0 12.780 * [backup-simplify]: Simplify 0 into 0 12.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.784 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.784 * [backup-simplify]: Simplify 0 into 0 12.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.788 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.788 * [backup-simplify]: Simplify 0 into 0 12.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.792 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.792 * [backup-simplify]: Simplify 0 into 0 12.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.794 * [backup-simplify]: Simplify (+ (* 11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.795 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify (* 11/128 (pow x 4)) into (* 11/128 (pow x 4)) 12.795 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 x) 4)) into (/ 11/128 (pow x 4)) 12.795 * [approximate]: Taking taylor expansion of (/ 11/128 (pow x 4)) in (x) around 0 12.795 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 4)) in x 12.795 * [taylor]: Taking taylor expansion of 11/128 in x 12.795 * [backup-simplify]: Simplify 11/128 into 11/128 12.795 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.795 * [taylor]: Taking taylor expansion of x in x 12.795 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify 1 into 1 12.795 * [backup-simplify]: Simplify (* 1 1) into 1 12.795 * [backup-simplify]: Simplify (* 1 1) into 1 12.796 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 12.796 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 4)) in x 12.796 * [taylor]: Taking taylor expansion of 11/128 in x 12.796 * [backup-simplify]: Simplify 11/128 into 11/128 12.796 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.796 * [taylor]: Taking taylor expansion of x in x 12.796 * [backup-simplify]: Simplify 0 into 0 12.796 * [backup-simplify]: Simplify 1 into 1 12.796 * [backup-simplify]: Simplify (* 1 1) into 1 12.797 * [backup-simplify]: Simplify (* 1 1) into 1 12.797 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 12.797 * [backup-simplify]: Simplify 11/128 into 11/128 12.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)))) into 0 12.798 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.800 * [backup-simplify]: Simplify 0 into 0 12.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.802 * [backup-simplify]: Simplify 0 into 0 12.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.805 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.807 * [backup-simplify]: Simplify 0 into 0 12.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.810 * [backup-simplify]: Simplify 0 into 0 12.810 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (/ 1 x)) 4)) into (* 11/128 (pow x 4)) 12.810 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (- x)) 4)) into (/ 11/128 (pow x 4)) 12.810 * [approximate]: Taking taylor expansion of (/ 11/128 (pow x 4)) in (x) around 0 12.810 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 4)) in x 12.810 * [taylor]: Taking taylor expansion of 11/128 in x 12.810 * [backup-simplify]: Simplify 11/128 into 11/128 12.810 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.810 * [taylor]: Taking taylor expansion of x in x 12.810 * [backup-simplify]: Simplify 0 into 0 12.810 * [backup-simplify]: Simplify 1 into 1 12.811 * [backup-simplify]: Simplify (* 1 1) into 1 12.811 * [backup-simplify]: Simplify (* 1 1) into 1 12.811 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 12.811 * [taylor]: Taking taylor expansion of (/ 11/128 (pow x 4)) in x 12.811 * [taylor]: Taking taylor expansion of 11/128 in x 12.811 * [backup-simplify]: Simplify 11/128 into 11/128 12.811 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.811 * [taylor]: Taking taylor expansion of x in x 12.811 * [backup-simplify]: Simplify 0 into 0 12.811 * [backup-simplify]: Simplify 1 into 1 12.812 * [backup-simplify]: Simplify (* 1 1) into 1 12.812 * [backup-simplify]: Simplify (* 1 1) into 1 12.812 * [backup-simplify]: Simplify (/ 11/128 1) into 11/128 12.812 * [backup-simplify]: Simplify 11/128 into 11/128 12.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)))) into 0 12.814 * [backup-simplify]: Simplify 0 into 0 12.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.815 * [backup-simplify]: Simplify 0 into 0 12.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.817 * [backup-simplify]: Simplify 0 into 0 12.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.820 * [backup-simplify]: Simplify 0 into 0 12.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.825 * [backup-simplify]: Simplify 0 into 0 12.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.829 * [backup-simplify]: Simplify 0 into 0 12.829 * [backup-simplify]: Simplify (* 11/128 (pow (/ 1 (/ 1 (- x))) 4)) into (* 11/128 (pow x 4)) 12.830 * * * [progress]: simplifying candidates 12.830 * * * * [progress]: [ 1 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 2 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 3 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 4 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 5 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 6 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 7 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 8 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 9 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 10 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 11 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 12 / 87 ] simplifiying candidate # 12.830 * * * * [progress]: [ 13 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 14 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 15 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 16 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 17 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 18 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 19 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 20 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 21 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #real (real->posit16 (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4))))))> 12.831 * * * * [progress]: [ 23 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 24 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 25 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 26 / 87 ] simplifiying candidate # 12.831 * * * * [progress]: [ 27 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 28 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 29 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 30 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 31 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 32 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 33 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 34 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 35 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 36 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 37 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 38 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 39 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 40 / 87 ] simplifiying candidate # 12.832 * * * * [progress]: [ 41 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 42 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 43 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 44 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 45 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 46 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 47 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 48 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #real (real->posit16 (* (pow x 6) 69/1024)))) (* 11/128 (pow x 4))))> 12.833 * * * * [progress]: [ 50 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 51 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 52 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 53 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 54 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 55 / 87 ] simplifiying candidate # 12.833 * * * * [progress]: [ 56 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 57 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 58 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 59 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 60 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 61 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 62 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 63 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 64 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 65 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 66 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 67 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 68 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 69 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 70 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 71 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 72 / 87 ] simplifiying candidate # 12.834 * * * * [progress]: [ 73 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 74 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 75 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 76 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #real (real->posit16 (* 11/128 (pow x 4))))))> 12.835 * * * * [progress]: [ 78 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 79 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 80 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 81 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 82 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 83 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 84 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 85 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 86 / 87 ] simplifiying candidate # 12.835 * * * * [progress]: [ 87 / 87 ] simplifiying candidate # 12.836 * [simplify]: Simplifying: (fma (* (cbrt (fma 1/8 (* x x) (* (pow x 6) 69/1024))) (cbrt (fma 1/8 (* x x) (* (pow x 6) 69/1024)))) (cbrt (fma 1/8 (* x x) (* (pow x 6) 69/1024))) (- (* (pow x 4) 11/128))) (fma (- (pow x 4)) 11/128 (* (pow x 4) 11/128)) (fma (sqrt (fma 1/8 (* x x) (* (pow x 6) 69/1024))) (sqrt (fma 1/8 (* x x) (* (pow x 6) 69/1024))) (- (* (pow x 4) 11/128))) (fma (- (pow x 4)) 11/128 (* (pow x 4) 11/128)) (fma 1 (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (- (* (pow x 4) 11/128))) (fma (- (pow x 4)) 11/128 (* (pow x 4) 11/128)) (expm1 (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (log1p (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (- (* 11/128 (pow x 4))) (- (* 11/128 (pow x 4))) (- (* 11/128 (pow x 4))) (/ (exp (fma 1/8 (* x x) (* (pow x 6) 69/1024))) (exp (* 11/128 (pow x 4)))) (log (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (exp (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (* (cbrt (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (cbrt (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4))))) (cbrt (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (* (* (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4))) (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (sqrt (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (sqrt (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (- (pow (fma 1/8 (* x x) (* (pow x 6) 69/1024)) 3) (pow (* 11/128 (pow x 4)) 3)) (+ (* (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (fma 1/8 (* x x) (* (pow x 6) 69/1024))) (+ (* (* 11/128 (pow x 4)) (* 11/128 (pow x 4))) (* (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4))))) (- (* 11/128 (pow x 4))) (- (* (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (fma 1/8 (* x x) (* (pow x 6) 69/1024))) (* (* 11/128 (pow x 4)) (* 11/128 (pow x 4)))) (+ (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4))) (- (* (pow x 6) 69/1024) (* 11/128 (pow x 4))) (- (* 11/128 (pow x 4))) (real->posit16 (- (fma 1/8 (* x x) (* (pow x 6) 69/1024)) (* 11/128 (pow x 4)))) (expm1 (* (pow x 6) 69/1024)) (log1p (* (pow x 6) 69/1024)) (+ (* (log x) 6) (log 69/1024)) (+ (* (log x) 6) (log 69/1024)) (+ (log (pow x 6)) (log 69/1024)) (log (* (pow x 6) 69/1024)) (exp (* (pow x 6) 69/1024)) (* (* (* (pow x 6) (pow x 6)) (pow x 6)) (* (* 69/1024 69/1024) 69/1024)) (* (cbrt (* (pow x 6) 69/1024)) (cbrt (* (pow x 6) 69/1024))) (cbrt (* (pow x 6) 69/1024)) (* (* (* (pow x 6) 69/1024) (* (pow x 6) 69/1024)) (* (pow x 6) 69/1024)) (sqrt (* (pow x 6) 69/1024)) (sqrt (* (pow x 6) 69/1024)) (* (pow (sqrt x) 6) (sqrt 69/1024)) (* (pow (sqrt x) 6) (sqrt 69/1024)) (* (sqrt (pow x 6)) (sqrt 69/1024)) (* (sqrt (pow x 6)) (sqrt 69/1024)) (* (pow x (/ 6 2)) (sqrt 69/1024)) (* (pow x (/ 6 2)) (sqrt 69/1024)) (* (pow x 6) (* (cbrt 69/1024) (cbrt 69/1024))) (* (pow x 6) (sqrt 69/1024)) (* (pow x 6) 1) (* (pow (cbrt x) 6) 69/1024) (* (pow (sqrt x) 6) 69/1024) (* (pow x 6) 69/1024) (* (cbrt (pow x 6)) 69/1024) (* (sqrt (pow x 6)) 69/1024) (* (pow x 6) 69/1024) (* (pow x (/ 6 2)) 69/1024) (real->posit16 (* (pow x 6) 69/1024)) (expm1 (* 11/128 (pow x 4))) (log1p (* 11/128 (pow x 4))) (+ (log 11/128) (* (log x) 4)) (+ (log 11/128) (* (log x) 4)) (+ (log 11/128) (log (pow x 4))) (log (* 11/128 (pow x 4))) (exp (* 11/128 (pow x 4))) (* (* (* 11/128 11/128) 11/128) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 11/128 (pow x 4))) (cbrt (* 11/128 (pow x 4)))) (cbrt (* 11/128 (pow x 4))) (* (* (* 11/128 (pow x 4)) (* 11/128 (pow x 4))) (* 11/128 (pow x 4))) (sqrt (* 11/128 (pow x 4))) (sqrt (* 11/128 (pow x 4))) (* (sqrt 11/128) (pow (sqrt x) 4)) (* (sqrt 11/128) (pow (sqrt x) 4)) (* (sqrt 11/128) (sqrt (pow x 4))) (* (sqrt 11/128) (sqrt (pow x 4))) (* (sqrt 11/128) (pow x (/ 4 2))) (* (sqrt 11/128) (pow x (/ 4 2))) (* 11/128 (pow (* (cbrt x) (cbrt x)) 4)) (* 11/128 (pow (sqrt x) 4)) (* 11/128 (pow 1 4)) (* 11/128 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 11/128 (sqrt (pow x 4))) (* 11/128 1) (* 11/128 (pow x (/ 4 2))) (* (cbrt 11/128) (pow x 4)) (* (sqrt 11/128) (pow x 4)) (* 11/128 (pow x 4)) (real->posit16 (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (* 69/1024 (pow x 6)) (* 69/1024 (pow x 6)) (* 69/1024 (pow x 6)) (* 11/128 (pow x 4)) (* 11/128 (pow x 4)) (* 11/128 (pow x 4)) 12.838 * * [simplify]: iteration 1: (140 enodes) 12.918 * * [simplify]: iteration 2: (542 enodes) 13.088 * * [simplify]: iteration 3: (1064 enodes) 13.608 * * [simplify]: Extracting #0: cost 60 inf + 0 13.610 * * [simplify]: Extracting #1: cost 409 inf + 1 13.617 * * [simplify]: Extracting #2: cost 811 inf + 16927 13.634 * * [simplify]: Extracting #3: cost 666 inf + 71142 13.660 * * [simplify]: Extracting #4: cost 407 inf + 186249 13.702 * * [simplify]: Extracting #5: cost 107 inf + 345682 13.751 * * [simplify]: Extracting #6: cost 0 inf + 408968 13.805 * [simplify]: Simplified to: (- (* (* (cbrt (fma x (* 1/8 x) (* (pow x 6) 69/1024))) (cbrt (fma x (* 1/8 x) (* (pow x 6) 69/1024)))) (cbrt (fma x (* 1/8 x) (* (pow x 6) 69/1024)))) (* (pow x 4) 11/128)) (+ (* (pow x 4) 11/128) (- (* (pow x 4) 11/128))) (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128))) (+ (* (pow x 4) 11/128) (- (* (pow x 4) 11/128))) (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128))) (+ (* (pow x 4) 11/128) (- (* (pow x 4) 11/128))) (expm1 (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (log1p (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (- (* (pow x 4) 11/128)) (- (* (pow x 4) 11/128)) (- (* (pow x 4) 11/128)) (exp (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (log (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (exp (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (* (cbrt (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (cbrt (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128))))) (cbrt (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (* (* (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128))) (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (sqrt (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (sqrt (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (- (* (* (fma x (* 1/8 x) (* (pow x 6) 69/1024)) (fma x (* 1/8 x) (* (pow x 6) 69/1024))) (fma x (* 1/8 x) (* (pow x 6) 69/1024))) (* (* (* (pow x 4) 11/128) (* (pow x 4) 11/128)) (* (pow x 4) 11/128))) (fma (* (pow x 4) 11/128) (fma 11/128 (pow x 4) (fma x (* 1/8 x) (* (pow x 6) 69/1024))) (* (fma x (* 1/8 x) (* (pow x 6) 69/1024)) (fma x (* 1/8 x) (* (pow x 6) 69/1024)))) (- (* (pow x 4) 11/128)) (- (* (fma x (* 1/8 x) (* (pow x 6) 69/1024)) (fma x (* 1/8 x) (* (pow x 6) 69/1024))) (* (* (pow x 4) 11/128) (* (pow x 4) 11/128))) (fma 11/128 (pow x 4) (fma x (* 1/8 x) (* (pow x 6) 69/1024))) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)) (- (* (pow x 4) 11/128)) (real->posit16 (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128)))) (expm1 (* (pow x 6) 69/1024)) (log1p (* (pow x 6) 69/1024)) (fma 6 (log x) (log 69/1024)) (fma 6 (log x) (log 69/1024)) (fma 6 (log x) (log 69/1024)) (fma 6 (log x) (log 69/1024)) (exp (* (pow x 6) 69/1024)) (* (* (* (pow x 6) 69/1024) (* (pow x 6) 69/1024)) (* (pow x 6) 69/1024)) (* (cbrt (* (pow x 6) 69/1024)) (cbrt (* (pow x 6) 69/1024))) (cbrt (* (pow x 6) 69/1024)) (* (* (* (pow x 6) 69/1024) (* (pow x 6) 69/1024)) (* (pow x 6) 69/1024)) (sqrt (* (pow x 6) 69/1024)) (sqrt (* (pow x 6) 69/1024)) (* (pow (sqrt x) 6) (sqrt 69/1024)) (* (pow (sqrt x) 6) (sqrt 69/1024)) (* (sqrt (pow x 6)) (sqrt 69/1024)) (* (sqrt (pow x 6)) (sqrt 69/1024)) (* (pow x (/ 6 2)) (sqrt 69/1024)) (* (pow x (/ 6 2)) (sqrt 69/1024)) (* (* (cbrt 69/1024) (pow x 6)) (cbrt 69/1024)) (* (pow x 6) (sqrt 69/1024)) (pow x 6) (* 69/1024 (pow (cbrt x) 6)) (* (pow (sqrt x) 6) 69/1024) (* (pow x 6) 69/1024) (* 69/1024 (cbrt (pow x 6))) (* (sqrt (pow x 6)) 69/1024) (* (pow x 6) 69/1024) (* (pow x (/ 6 2)) 69/1024) (real->posit16 (* (pow x 6) 69/1024)) (expm1 (* (pow x 4) 11/128)) (log1p (* (pow x 4) 11/128)) (fma (log x) 4 (log 11/128)) (fma (log x) 4 (log 11/128)) (fma (log x) 4 (log 11/128)) (fma (log x) 4 (log 11/128)) (exp (* (pow x 4) 11/128)) (* (* (* (pow x 4) 11/128) (* (pow x 4) 11/128)) (* (pow x 4) 11/128)) (* (cbrt (* (pow x 4) 11/128)) (cbrt (* (pow x 4) 11/128))) (cbrt (* (pow x 4) 11/128)) (* (* (* (pow x 4) 11/128) (* (pow x 4) 11/128)) (* (pow x 4) 11/128)) (sqrt (* (pow x 4) 11/128)) (sqrt (* (pow x 4) 11/128)) (* (sqrt 11/128) (pow (sqrt x) 4)) (* (sqrt 11/128) (pow (sqrt x) 4)) (* (sqrt 11/128) (sqrt (pow x 4))) (* (sqrt 11/128) (sqrt (pow x 4))) (* (sqrt 11/128) (pow x (/ 4 2))) (* (sqrt 11/128) (pow x (/ 4 2))) (* (pow (* (cbrt x) (cbrt x)) 4) 11/128) (* (pow (sqrt x) 4) 11/128) 11/128 (* 11/128 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 11/128 (sqrt (pow x 4))) 11/128 (* 11/128 (pow x (/ 4 2))) (* (cbrt 11/128) (pow x 4)) (* (sqrt 11/128) (pow x 4)) (* (pow x 4) 11/128) (real->posit16 (* (pow x 4) 11/128)) (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128))) (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128))) (fma x (* 1/8 x) (- (* (pow x 6) 69/1024) (* (pow x 4) 11/128))) (* (pow x 6) 69/1024) (* (pow x 6) 69/1024) (* (pow x 6) 69/1024) (* (pow x 4) 11/128) (* (pow x 4) 11/128) (* (pow x 4) 11/128) 13.810 * * * [progress]: adding candidates to table 14.871 * [progress]: [Phase 3 of 3] Extracting. 14.871 * * [regime]: Finding splitpoints for: (# # #) 14.871 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 14.871 * * * * [regimes]: Trying to branch on x from (# # #) 14.916 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 14.954 * * * [regime]: Found split indices: #