26.368 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.108 * * * [progress]: [2/2] Setting up program. 0.113 * [progress]: [Phase 2 of 3] Improving. 0.113 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.113 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.113 * * [simplify]: iteration 0: 9 enodes 0.118 * * [simplify]: iteration 1: 21 enodes 0.130 * * [simplify]: iteration 2: 43 enodes 0.144 * * [simplify]: iteration 3: 69 enodes 0.163 * * [simplify]: iteration 4: 89 enodes 0.188 * * [simplify]: iteration 5: 111 enodes 0.200 * * [simplify]: iteration 6: 114 enodes 0.214 * * [simplify]: iteration complete: 114 enodes 0.214 * * [simplify]: Extracting #0: cost 1 inf + 0 0.214 * * [simplify]: Extracting #1: cost 4 inf + 0 0.214 * * [simplify]: Extracting #2: cost 4 inf + 1 0.214 * * [simplify]: Extracting #3: cost 8 inf + 1 0.214 * * [simplify]: Extracting #4: cost 9 inf + 2 0.214 * * [simplify]: Extracting #5: cost 10 inf + 2 0.214 * * [simplify]: Extracting #6: cost 9 inf + 3 0.215 * * [simplify]: Extracting #7: cost 6 inf + 255 0.215 * * [simplify]: Extracting #8: cost 1 inf + 1024 0.216 * * [simplify]: Extracting #9: cost 0 inf + 1242 0.216 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.223 * * [progress]: iteration 1 / 4 0.223 * * * [progress]: picking best candidate 0.227 * * * * [pick]: Picked # 0.227 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.318 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.318 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.334 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.335 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.335 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.335 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.335 * [taylor]: Taking taylor expansion of 1 in x 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.335 * [taylor]: Taking taylor expansion of 1/2 in x 0.335 * [backup-simplify]: Simplify 1/2 into 1/2 0.335 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.335 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.335 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.335 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.335 * [taylor]: Taking taylor expansion of 1 in x 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of 1 in x 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (* x x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (* 0 0) into 0 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (sqrt 1) into 1 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of 1/2 in x 0.339 * [backup-simplify]: Simplify 1/2 into 1/2 0.340 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.340 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.341 * [backup-simplify]: Simplify (sqrt 1) into 1 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.343 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.343 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.343 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.343 * [taylor]: Taking taylor expansion of 1/2 in x 0.343 * [backup-simplify]: Simplify 1/2 into 1/2 0.343 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.343 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.343 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.343 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.343 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of 1 in x 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of (* x x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (* 0 0) into 0 0.345 * [backup-simplify]: Simplify (+ 1 0) into 1 0.345 * [backup-simplify]: Simplify (sqrt 1) into 1 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of 1/2 in x 0.347 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.348 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.348 * [backup-simplify]: Simplify (sqrt 1) into 1 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.351 * [backup-simplify]: Simplify (- 1) into -1 0.351 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.354 * [backup-simplify]: Simplify (+ 0 1) into 1 0.355 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.357 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.357 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.358 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.358 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.358 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.359 * [backup-simplify]: Simplify 1/8 into 1/8 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.373 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.374 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.375 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.375 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.376 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.376 * [backup-simplify]: Simplify -11/128 into -11/128 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.385 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.393 * [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 0.395 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.395 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.397 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.397 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.398 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.398 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.398 * [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))) 0.398 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.398 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of 1/2 in x 0.398 * [backup-simplify]: Simplify 1/2 into 1/2 0.398 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.398 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.398 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.399 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.399 * [taylor]: Taking taylor expansion of 1 in x 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of 1 in x 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.400 * [backup-simplify]: Simplify (+ 0 1) into 1 0.400 * [backup-simplify]: Simplify (sqrt 1) into 1 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [taylor]: Taking taylor expansion of 1/2 in x 0.404 * [backup-simplify]: Simplify 1/2 into 1/2 0.404 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.404 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.405 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.405 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.406 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.406 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.406 * [taylor]: Taking taylor expansion of 1 in x 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.406 * [taylor]: Taking taylor expansion of 1/2 in x 0.406 * [backup-simplify]: Simplify 1/2 into 1/2 0.406 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.407 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.407 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.407 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.407 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [backup-simplify]: Simplify (sqrt 1) into 1 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of 1/2 in x 0.412 * [backup-simplify]: Simplify 1/2 into 1/2 0.412 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.412 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.413 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.413 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.414 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.415 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.417 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.417 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.419 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.425 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.427 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.434 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.436 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.438 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.441 * [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))) 0.441 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.441 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.441 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.441 * [taylor]: Taking taylor expansion of 1/2 in x 0.441 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.441 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.441 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.441 * [taylor]: Taking taylor expansion of -1 in x 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ -1 1) into -1 0.442 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.442 * [taylor]: Taking taylor expansion of -1 in x 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ -1 1) into -1 0.442 * [backup-simplify]: Simplify (* -1 -1) into 1 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of 1/2 in x 0.445 * [backup-simplify]: Simplify 1/2 into 1/2 0.445 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.446 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.446 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.446 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.447 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.447 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.447 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.447 * [taylor]: Taking taylor expansion of 1/2 in x 0.447 * [backup-simplify]: Simplify 1/2 into 1/2 0.447 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.447 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.448 * [taylor]: Taking taylor expansion of -1 in x 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [backup-simplify]: Simplify (* -1 -1) into 1 0.448 * [backup-simplify]: Simplify (+ 0 1) into 1 0.449 * [backup-simplify]: Simplify (sqrt 1) into 1 0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of 1/2 in x 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.452 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.452 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.452 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.453 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.454 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.454 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.455 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.456 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.458 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.459 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.465 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.467 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.468 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.472 * [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)) 0.472 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.472 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.472 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of 1/2 in x 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.472 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.472 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.472 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of (* x x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 0 0) into 0 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.477 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.477 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of 1/2 in x 0.477 * [backup-simplify]: Simplify 1/2 into 1/2 0.477 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.477 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.477 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.477 * [taylor]: Taking taylor expansion of 1 in x 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [taylor]: Taking taylor expansion of 1 in x 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [taylor]: Taking taylor expansion of (* x x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (* 0 0) into 0 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.482 * [backup-simplify]: Simplify 1/2 into 1/2 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.485 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.487 * [backup-simplify]: Simplify -1/4 into -1/4 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.498 * [backup-simplify]: Simplify 3/16 into 3/16 0.498 * [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))) 0.498 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.498 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of 1/2 in x 0.499 * [backup-simplify]: Simplify 1/2 into 1/2 0.499 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.499 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.499 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.499 * [taylor]: Taking taylor expansion of 1 in x 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of 1 in x 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (+ 0 1) into 1 0.501 * [backup-simplify]: Simplify (sqrt 1) into 1 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.505 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.505 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.505 * [taylor]: Taking taylor expansion of 1/2 in x 0.505 * [backup-simplify]: Simplify 1/2 into 1/2 0.505 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.505 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.505 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.505 * [taylor]: Taking taylor expansion of 1 in x 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of 1 in x 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (+ 0 1) into 1 0.507 * [backup-simplify]: Simplify (sqrt 1) into 1 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.511 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.511 * [backup-simplify]: Simplify 1/2 into 1/2 0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.516 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.517 * [backup-simplify]: Simplify -1/4 into -1/4 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.535 * [backup-simplify]: Simplify 3/16 into 3/16 0.535 * [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)))) 0.535 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.535 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.535 * [taylor]: Taking taylor expansion of 1/2 in x 0.535 * [backup-simplify]: Simplify 1/2 into 1/2 0.535 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.535 * [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 0.536 * [backup-simplify]: Simplify (/ -1 1) into -1 0.536 * [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 0.537 * [backup-simplify]: Simplify (/ -1 1) into -1 0.537 * [backup-simplify]: Simplify (* -1 -1) into 1 0.538 * [backup-simplify]: Simplify (+ 0 1) into 1 0.538 * [backup-simplify]: Simplify (sqrt 1) into 1 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.542 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.542 * [taylor]: Taking taylor expansion of 1/2 in x 0.542 * [backup-simplify]: Simplify 1/2 into 1/2 0.542 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.542 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.542 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.542 * [taylor]: Taking taylor expansion of 1 in x 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of 1 in x 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.543 * [backup-simplify]: Simplify -1 into -1 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ -1 1) into -1 0.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.543 * [backup-simplify]: Simplify -1 into -1 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (/ -1 1) into -1 0.544 * [backup-simplify]: Simplify (* -1 -1) into 1 0.544 * [backup-simplify]: Simplify (+ 0 1) into 1 0.545 * [backup-simplify]: Simplify (sqrt 1) into 1 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.549 * [backup-simplify]: Simplify 1/2 into 1/2 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (* 1 1) into 1 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.553 * [backup-simplify]: Simplify (+ 1 0) into 1 0.554 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.555 * [backup-simplify]: Simplify -1/4 into -1/4 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.569 * [backup-simplify]: Simplify 3/16 into 3/16 0.570 * [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)))) 0.570 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.570 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.570 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.570 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.570 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.570 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.570 * [taylor]: Taking taylor expansion of 1 in x 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of 1 in x 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of (* x x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (* 0 0) into 0 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (sqrt 1) into 1 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.574 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.574 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.574 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.574 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.574 * [taylor]: Taking taylor expansion of 1 in x 0.574 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of (* x x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (* 1 1) into 1 0.575 * [backup-simplify]: Simplify (* 0 0) into 0 0.576 * [backup-simplify]: Simplify (+ 1 0) into 1 0.576 * [backup-simplify]: Simplify (sqrt 1) into 1 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.577 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.581 * [backup-simplify]: Simplify (+ 0 1) into 1 0.582 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.582 * [backup-simplify]: Simplify 1/2 into 1/2 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 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 0.590 * [backup-simplify]: Simplify -1/8 into -1/8 0.590 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 0.590 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.590 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.590 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.590 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.590 * [taylor]: Taking taylor expansion of 1 in x 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of 1 in x 0.590 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (+ 0 1) into 1 0.593 * [backup-simplify]: Simplify (sqrt 1) into 1 0.593 * [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 0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [backup-simplify]: Simplify (* 1 1) into 1 0.598 * [backup-simplify]: Simplify (+ 0 1) into 1 0.598 * [backup-simplify]: Simplify (sqrt 1) into 1 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.605 * [backup-simplify]: Simplify (+ 1 0) into 1 0.606 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.606 * [backup-simplify]: Simplify 1/2 into 1/2 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.616 * [backup-simplify]: Simplify -1/8 into -1/8 0.617 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 0.617 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.617 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.617 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.617 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.617 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.617 * [taylor]: Taking taylor expansion of 1 in x 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [taylor]: Taking taylor expansion of 1 in x 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [backup-simplify]: Simplify -1 into -1 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ -1 1) into -1 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 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ -1 1) into -1 0.619 * [backup-simplify]: Simplify (* -1 -1) into 1 0.619 * [backup-simplify]: Simplify (+ 0 1) into 1 0.619 * [backup-simplify]: Simplify (sqrt 1) into 1 0.620 * [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 0.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.623 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.623 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.623 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.623 * [taylor]: Taking taylor expansion of 1 in x 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [taylor]: Taking taylor expansion of 1 in x 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [backup-simplify]: Simplify -1 into -1 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (/ -1 1) into -1 0.624 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.624 * [taylor]: Taking taylor expansion of -1 in x 0.624 * [backup-simplify]: Simplify -1 into -1 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ -1 1) into -1 0.625 * [backup-simplify]: Simplify (* -1 -1) into 1 0.626 * [backup-simplify]: Simplify (+ 0 1) into 1 0.626 * [backup-simplify]: Simplify (sqrt 1) into 1 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.634 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.634 * [backup-simplify]: Simplify 1/2 into 1/2 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.646 * [backup-simplify]: Simplify -1/8 into -1/8 0.646 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 0.646 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.646 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.646 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.646 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of 1/2 in x 0.647 * [backup-simplify]: Simplify 1/2 into 1/2 0.647 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.647 * [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 0.648 * [backup-simplify]: Simplify (* 0 0) into 0 0.648 * [backup-simplify]: Simplify (+ 1 0) into 1 0.649 * [backup-simplify]: Simplify (sqrt 1) into 1 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.650 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of 1/2 in x 0.652 * [backup-simplify]: Simplify 1/2 into 1/2 0.652 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.652 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.653 * [backup-simplify]: Simplify (sqrt 1) into 1 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.654 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.655 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of 1/2 in x 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.655 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.655 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.655 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.655 * [taylor]: Taking taylor expansion of 1 in x 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of 1 in x 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (* x x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (* 1 1) into 1 0.656 * [backup-simplify]: Simplify (* 0 0) into 0 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.657 * [backup-simplify]: Simplify (sqrt 1) into 1 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.660 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [taylor]: Taking taylor expansion of 1/2 in x 0.660 * [backup-simplify]: Simplify 1/2 into 1/2 0.660 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.661 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.661 * [backup-simplify]: Simplify (sqrt 1) into 1 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.666 * [backup-simplify]: Simplify (+ 0 1) into 1 0.667 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.669 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.669 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.670 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.670 * [backup-simplify]: Simplify -1/8 into -1/8 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.692 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.693 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.694 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.694 * [backup-simplify]: Simplify 11/128 into 11/128 0.694 * [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))) 0.695 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.695 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.695 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.695 * [taylor]: Taking taylor expansion of 1/2 in x 0.695 * [backup-simplify]: Simplify 1/2 into 1/2 0.695 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.695 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.695 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.695 * [taylor]: Taking taylor expansion of 1 in x 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [taylor]: Taking taylor expansion of 1 in x 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify (+ 0 1) into 1 0.697 * [backup-simplify]: Simplify (sqrt 1) into 1 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [taylor]: Taking taylor expansion of 1/2 in x 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.702 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.702 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.703 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.704 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.704 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.704 * [taylor]: Taking taylor expansion of 1/2 in x 0.704 * [backup-simplify]: Simplify 1/2 into 1/2 0.704 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.705 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.705 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.705 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.705 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.705 * [taylor]: Taking taylor expansion of 1 in x 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [taylor]: Taking taylor expansion of 1 in x 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (+ 0 1) into 1 0.707 * [backup-simplify]: Simplify (sqrt 1) into 1 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [taylor]: Taking taylor expansion of 1/2 in x 0.710 * [backup-simplify]: Simplify 1/2 into 1/2 0.711 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.711 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.712 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.712 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.714 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.714 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.715 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.723 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.727 * [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))))) 0.727 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.727 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.727 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.727 * [taylor]: Taking taylor expansion of 1/2 in x 0.727 * [backup-simplify]: Simplify 1/2 into 1/2 0.727 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.727 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.727 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.727 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.728 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.728 * [taylor]: Taking taylor expansion of 1 in x 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [taylor]: Taking taylor expansion of 1 in x 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.728 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.728 * [taylor]: Taking taylor expansion of -1 in x 0.728 * [backup-simplify]: Simplify -1 into -1 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (/ -1 1) into -1 0.728 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.728 * [taylor]: Taking taylor expansion of -1 in x 0.728 * [backup-simplify]: Simplify -1 into -1 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (/ -1 1) into -1 0.729 * [backup-simplify]: Simplify (* -1 -1) into 1 0.730 * [backup-simplify]: Simplify (+ 0 1) into 1 0.730 * [backup-simplify]: Simplify (sqrt 1) into 1 0.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [taylor]: Taking taylor expansion of 1/2 in x 0.734 * [backup-simplify]: Simplify 1/2 into 1/2 0.734 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.735 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.735 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.735 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.737 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.737 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.737 * [taylor]: Taking taylor expansion of 1/2 in x 0.737 * [backup-simplify]: Simplify 1/2 into 1/2 0.737 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.737 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.737 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.737 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.737 * [taylor]: Taking taylor expansion of 1 in x 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [taylor]: Taking taylor expansion of 1 in x 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.737 * [taylor]: Taking taylor expansion of -1 in x 0.737 * [backup-simplify]: Simplify -1 into -1 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ -1 1) into -1 0.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.738 * [taylor]: Taking taylor expansion of -1 in x 0.738 * [backup-simplify]: Simplify -1 into -1 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ -1 1) into -1 0.739 * [backup-simplify]: Simplify (* -1 -1) into 1 0.739 * [backup-simplify]: Simplify (+ 0 1) into 1 0.740 * [backup-simplify]: Simplify (sqrt 1) into 1 0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.744 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [taylor]: Taking taylor expansion of 1/2 in x 0.744 * [backup-simplify]: Simplify 1/2 into 1/2 0.745 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.745 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.746 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.746 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.747 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.748 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.749 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.757 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.761 * [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)))))) 0.761 * * * [progress]: simplifying candidates 0.761 * * * * [progress]: [ 1 / 120 ] simplifiying candidate # 0.761 * * * * [progress]: [ 2 / 120 ] simplifiying candidate # 0.761 * * * * [progress]: [ 3 / 120 ] simplifiying candidate # 0.761 * * * * [progress]: [ 4 / 120 ] simplifiying candidate # 0.761 * * * * [progress]: [ 5 / 120 ] simplifiying candidate # 0.761 * * * * [progress]: [ 6 / 120 ] simplifiying candidate # 0.761 * * * * [progress]: [ 7 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 8 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 9 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 10 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 11 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 12 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 13 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 14 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 15 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 16 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 17 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 18 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 19 / 120 ] simplifiying candidate # 0.762 * * * * [progress]: [ 20 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 21 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 22 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 23 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 24 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 25 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 26 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 27 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 28 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 29 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 30 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 31 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 32 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 33 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 34 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 35 / 120 ] simplifiying candidate # 0.763 * * * * [progress]: [ 36 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 37 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 38 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 39 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 40 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 41 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 42 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 43 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 44 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 45 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 46 / 120 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.764 * * * * [progress]: [ 47 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 48 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 49 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 50 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 51 / 120 ] simplifiying candidate # 0.764 * * * * [progress]: [ 52 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 53 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 54 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 55 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 56 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 57 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 58 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 59 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 60 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 61 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 62 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 63 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 64 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 65 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 66 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 67 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 68 / 120 ] simplifiying candidate # 0.765 * * * * [progress]: [ 69 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 70 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 71 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 72 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 73 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 74 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 75 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 76 / 120 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.766 * * * * [progress]: [ 77 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 78 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 79 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 80 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 81 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 82 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 83 / 120 ] simplifiying candidate # 0.766 * * * * [progress]: [ 84 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 85 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 86 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 87 / 120 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))))))> 0.767 * * * * [progress]: [ 88 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 89 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 90 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 91 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 92 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 93 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 94 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 95 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 96 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 97 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 98 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 99 / 120 ] simplifiying candidate # 0.767 * * * * [progress]: [ 100 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 101 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 102 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 103 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 104 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 105 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 106 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 107 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 108 / 120 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.768 * * * * [progress]: [ 109 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 110 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 111 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 112 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 113 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 114 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 115 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 116 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 117 / 120 ] simplifiying candidate # 0.768 * * * * [progress]: [ 118 / 120 ] simplifiying candidate # 0.769 * * * * [progress]: [ 119 / 120 ] simplifiying candidate # 0.769 * * * * [progress]: [ 120 / 120 ] simplifiying candidate # 0.771 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 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3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.776 * * [simplify]: iteration 0: 212 enodes 0.888 * * [simplify]: iteration 1: 495 enodes 1.340 * * [simplify]: iteration 2: 1331 enodes 1.823 * * [simplify]: iteration 3: 2003 enodes 2.214 * * [simplify]: iteration complete: 2003 enodes 2.215 * * [simplify]: Extracting #0: cost 92 inf + 0 2.221 * * [simplify]: Extracting #1: cost 335 inf + 3 2.226 * * [simplify]: Extracting #2: cost 402 inf + 5674 2.238 * * [simplify]: Extracting #3: cost 252 inf + 33188 2.269 * * [simplify]: Extracting #4: cost 59 inf + 71974 2.310 * * [simplify]: Extracting #5: cost 9 inf + 84945 2.353 * * [simplify]: Extracting #6: cost 2 inf + 86920 2.398 * * [simplify]: Extracting #7: cost 0 inf + 87426 2.442 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (fma (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 1/8)) (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (* (* x x) (* x x)) -11/128 (fma (* x x) 1/8 (* 69/1024 (* (* (* x x) x) (* (* x x) x))))) (+ (- (- 1 (sqrt 1/2)) (/ (/ 1/4 x) (sqrt 1/2))) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))) (+ (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) (+ (/ (/ 1/4 x) (sqrt 1/2)) (- 1 (sqrt 1/2)))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (* (/ 1/2 (* x x)) (/ 1/2 x)))) (- (- (* (/ 1/2 (* x x)) (/ 1/2 x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma (* (* x x) (* x x)) -1/8 (fma (* x x) 1/2 1)) (- (+ (/ 1/2 x) x) (/ 1/8 (* (* x x) x))) (- (/ 1/8 (* (* x x) x)) (+ (/ 1/2 x) x)) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 1)) (+ (sqrt 1/2) (+ (/ (/ 1/4 x) (sqrt 1/2)) (/ -1/32 (* (sqrt 1/2) (* 1/2 (* x x)))))) (- (- (sqrt 1/2) (/ (/ 1/4 x) (sqrt 1/2))) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))) 2.457 * * * [progress]: adding candidates to table 2.957 * * [progress]: iteration 2 / 4 2.957 * * * [progress]: picking best candidate 2.975 * * * * [pick]: Picked # 2.975 * * * [progress]: localizing error 3.039 * * * [progress]: generating rewritten candidates 3.039 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 3.056 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 3.064 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2) 3.073 * * * [progress]: generating series expansions 3.073 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.074 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 3.074 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 3.074 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 3.074 * [taylor]: Taking taylor expansion of 1 in x 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 3.074 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 3.074 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.074 * [taylor]: Taking taylor expansion of 1/2 in x 3.074 * [backup-simplify]: Simplify 1/2 into 1/2 3.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.074 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.074 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.075 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.075 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.075 * [taylor]: Taking taylor expansion of 1 in x 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [taylor]: Taking taylor expansion of 1 in x 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [taylor]: Taking taylor expansion of (* x x) in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [taylor]: Taking taylor expansion of x in x 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.076 * [backup-simplify]: Simplify (* 0 0) into 0 3.076 * [backup-simplify]: Simplify (+ 1 0) into 1 3.077 * [backup-simplify]: Simplify (sqrt 1) into 1 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.078 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.079 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.080 * [backup-simplify]: Simplify (/ 1 1) into 1 3.080 * [taylor]: Taking taylor expansion of 1/2 in x 3.080 * [backup-simplify]: Simplify 1/2 into 1/2 3.080 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.081 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.081 * [backup-simplify]: Simplify (* 1 1) into 1 3.081 * [backup-simplify]: Simplify (* 1 1) into 1 3.082 * [backup-simplify]: Simplify (sqrt 1) into 1 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.084 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.086 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 3.086 * [taylor]: Taking taylor expansion of 1 in x 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 3.086 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 3.086 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.086 * [taylor]: Taking taylor expansion of 1/2 in x 3.086 * [backup-simplify]: Simplify 1/2 into 1/2 3.086 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.086 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.086 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.086 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.086 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.086 * [taylor]: Taking taylor expansion of 1 in x 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of 1 in x 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of (* x x) in x 3.086 * [taylor]: Taking taylor expansion of x in x 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of x in x 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [backup-simplify]: Simplify (* 0 0) into 0 3.088 * [backup-simplify]: Simplify (+ 1 0) into 1 3.088 * [backup-simplify]: Simplify (sqrt 1) into 1 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.091 * [taylor]: Taking taylor expansion of 1/2 in x 3.091 * [backup-simplify]: Simplify 1/2 into 1/2 3.091 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.092 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.092 * [backup-simplify]: Simplify (* 1 1) into 1 3.092 * [backup-simplify]: Simplify (* 1 1) into 1 3.093 * [backup-simplify]: Simplify (sqrt 1) into 1 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.095 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.103 * [backup-simplify]: Simplify (- 1) into -1 3.103 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (- 0) into 0 3.104 * [backup-simplify]: Simplify (+ 0 0) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.107 * [backup-simplify]: Simplify (+ 0 1) into 1 3.108 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.110 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.111 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.112 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 3.113 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 3.114 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 3.114 * [backup-simplify]: Simplify (- -3/8) into 3/8 3.115 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 3.115 * [backup-simplify]: Simplify 3/8 into 3/8 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (+ 0 0) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 3.125 * [backup-simplify]: Simplify (- 0) into 0 3.125 * [backup-simplify]: Simplify (+ 0 0) into 0 3.126 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.129 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.132 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.133 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.134 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 3.136 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 3.137 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 3.138 * [backup-simplify]: Simplify (- 39/128) into -39/128 3.138 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 3.138 * [backup-simplify]: Simplify -39/128 into -39/128 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.141 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 3.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 3.152 * [backup-simplify]: Simplify (- 0) into 0 3.153 * [backup-simplify]: Simplify (+ 0 0) into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.155 * [backup-simplify]: Simplify (+ 0 0) into 0 3.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.157 * [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 3.158 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.158 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 3.160 * [backup-simplify]: Simplify (+ (* 1 -5/32) (+ (* 0 0) (+ (* -1/4 3/16) (+ (* 0 0) (+ (* 3/16 -1/4) (+ (* 0 0) (* -5/32 1))))))) into -13/32 3.161 * [backup-simplify]: Simplify (+ (* 1 -13/32) (+ (* 0 0) (+ (* -1/4 7/16) (+ (* 0 0) (+ (* 3/16 -1/2) (+ (* 0 0) (* -5/32 1))))))) into -49/64 3.162 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 3.163 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 3.163 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 3.163 * [backup-simplify]: Simplify 275/1024 into 275/1024 3.164 * [backup-simplify]: Simplify (+ (* 275/1024 (pow x 6)) (+ (* -39/128 (pow x 4)) (* 3/8 (pow x 2)))) into (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) 3.164 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 3.164 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 3.164 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 3.164 * [taylor]: Taking taylor expansion of 1 in x 3.164 * [backup-simplify]: Simplify 1 into 1 3.164 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 3.164 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 3.164 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.164 * [taylor]: Taking taylor expansion of 1/2 in x 3.164 * [backup-simplify]: Simplify 1/2 into 1/2 3.164 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.164 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.165 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.165 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.165 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.165 * [taylor]: Taking taylor expansion of 1 in x 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [taylor]: Taking taylor expansion of 1 in x 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (/ 1 1) into 1 3.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (/ 1 1) into 1 3.166 * [backup-simplify]: Simplify (* 1 1) into 1 3.166 * [backup-simplify]: Simplify (+ 0 1) into 1 3.166 * [backup-simplify]: Simplify (sqrt 1) into 1 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.169 * [backup-simplify]: Simplify (/ 1 1) into 1 3.169 * [taylor]: Taking taylor expansion of 1/2 in x 3.169 * [backup-simplify]: Simplify 1/2 into 1/2 3.169 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.169 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.169 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.170 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.170 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.171 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.171 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.172 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.172 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 3.172 * [taylor]: Taking taylor expansion of 1 in x 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 3.172 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 3.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.172 * [taylor]: Taking taylor expansion of 1/2 in x 3.172 * [backup-simplify]: Simplify 1/2 into 1/2 3.172 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.172 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.172 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.172 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.172 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.172 * [taylor]: Taking taylor expansion of 1 in x 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [taylor]: Taking taylor expansion of 1 in x 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (/ 1 1) into 1 3.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.173 * [taylor]: Taking taylor expansion of x in x 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (/ 1 1) into 1 3.173 * [backup-simplify]: Simplify (* 1 1) into 1 3.173 * [backup-simplify]: Simplify (+ 0 1) into 1 3.174 * [backup-simplify]: Simplify (sqrt 1) into 1 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.176 * [backup-simplify]: Simplify (/ 1 1) into 1 3.176 * [taylor]: Taking taylor expansion of 1/2 in x 3.176 * [backup-simplify]: Simplify 1/2 into 1/2 3.176 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.176 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.177 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.177 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.177 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.178 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.178 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.178 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.179 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.180 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 3.181 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 3.181 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 3.182 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.184 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.186 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 3.188 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 3.191 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 3.196 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.201 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.207 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.216 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 x) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 x)) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) 3.217 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 3.217 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 3.217 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 3.217 * [taylor]: Taking taylor expansion of 1 in x 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 3.217 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 3.217 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.217 * [taylor]: Taking taylor expansion of 1/2 in x 3.217 * [backup-simplify]: Simplify 1/2 into 1/2 3.217 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.217 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.217 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.217 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.217 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.217 * [taylor]: Taking taylor expansion of 1 in x 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [taylor]: Taking taylor expansion of 1 in x 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.217 * [taylor]: Taking taylor expansion of -1 in x 3.217 * [backup-simplify]: Simplify -1 into -1 3.217 * [taylor]: Taking taylor expansion of x in x 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (/ -1 1) into -1 3.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.218 * [taylor]: Taking taylor expansion of -1 in x 3.218 * [backup-simplify]: Simplify -1 into -1 3.218 * [taylor]: Taking taylor expansion of x in x 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (/ -1 1) into -1 3.219 * [backup-simplify]: Simplify (* -1 -1) into 1 3.219 * [backup-simplify]: Simplify (+ 0 1) into 1 3.220 * [backup-simplify]: Simplify (sqrt 1) into 1 3.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.222 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.223 * [backup-simplify]: Simplify (/ 1 1) into 1 3.223 * [taylor]: Taking taylor expansion of 1/2 in x 3.224 * [backup-simplify]: Simplify 1/2 into 1/2 3.224 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.224 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.225 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.225 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.226 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.226 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.226 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.227 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.229 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.229 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 3.229 * [taylor]: Taking taylor expansion of 1 in x 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 3.229 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 3.229 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.229 * [taylor]: Taking taylor expansion of 1/2 in x 3.229 * [backup-simplify]: Simplify 1/2 into 1/2 3.229 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.229 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.229 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.229 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.229 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.229 * [taylor]: Taking taylor expansion of 1 in x 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of 1 in x 3.229 * [backup-simplify]: Simplify 1 into 1 3.230 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.230 * [taylor]: Taking taylor expansion of -1 in x 3.230 * [backup-simplify]: Simplify -1 into -1 3.230 * [taylor]: Taking taylor expansion of x in x 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (/ -1 1) into -1 3.230 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.230 * [taylor]: Taking taylor expansion of -1 in x 3.230 * [backup-simplify]: Simplify -1 into -1 3.230 * [taylor]: Taking taylor expansion of x in x 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (/ -1 1) into -1 3.231 * [backup-simplify]: Simplify (* -1 -1) into 1 3.231 * [backup-simplify]: Simplify (+ 0 1) into 1 3.231 * [backup-simplify]: Simplify (sqrt 1) into 1 3.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.233 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.233 * [backup-simplify]: Simplify (+ 0 0) into 0 3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.234 * [backup-simplify]: Simplify (/ 1 1) into 1 3.234 * [taylor]: Taking taylor expansion of 1/2 in x 3.234 * [backup-simplify]: Simplify 1/2 into 1/2 3.234 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.235 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.235 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 3.235 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 3.235 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.236 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.236 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 3.236 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 3.237 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 3.238 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 3.239 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 3.239 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 3.240 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.242 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.244 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 3.246 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 3.250 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 3.255 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.259 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.263 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 3.269 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 (- x))) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) 3.269 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 3.269 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.269 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.269 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.269 * [taylor]: Taking taylor expansion of 1/2 in x 3.269 * [backup-simplify]: Simplify 1/2 into 1/2 3.269 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.269 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.269 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.269 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.269 * [taylor]: Taking taylor expansion of 1 in x 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [taylor]: Taking taylor expansion of 1 in x 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [taylor]: Taking taylor expansion of (* x x) in x 3.270 * [taylor]: Taking taylor expansion of x in x 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [taylor]: Taking taylor expansion of x in x 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.270 * [backup-simplify]: Simplify (* 1 1) into 1 3.270 * [backup-simplify]: Simplify (* 0 0) into 0 3.271 * [backup-simplify]: Simplify (+ 1 0) into 1 3.271 * [backup-simplify]: Simplify (sqrt 1) into 1 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.273 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.273 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.274 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.274 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.274 * [taylor]: Taking taylor expansion of 1/2 in x 3.274 * [backup-simplify]: Simplify 1/2 into 1/2 3.274 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.274 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.274 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.275 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.275 * [taylor]: Taking taylor expansion of 1 in x 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [taylor]: Taking taylor expansion of 1 in x 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [taylor]: Taking taylor expansion of (* x x) in x 3.275 * [taylor]: Taking taylor expansion of x in x 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [taylor]: Taking taylor expansion of x in x 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (* 1 1) into 1 3.276 * [backup-simplify]: Simplify (* 0 0) into 0 3.276 * [backup-simplify]: Simplify (+ 1 0) into 1 3.276 * [backup-simplify]: Simplify (sqrt 1) into 1 3.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.279 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.280 * [backup-simplify]: Simplify 1/2 into 1/2 3.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.283 * [backup-simplify]: Simplify (+ 0 1) into 1 3.284 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.286 * [backup-simplify]: Simplify -1/4 into -1/4 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.297 * [backup-simplify]: Simplify 3/16 into 3/16 3.298 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 3.298 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.298 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.298 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.298 * [taylor]: Taking taylor expansion of 1/2 in x 3.298 * [backup-simplify]: Simplify 1/2 into 1/2 3.298 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.298 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.298 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.298 * [taylor]: Taking taylor expansion of 1 in x 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [taylor]: Taking taylor expansion of 1 in x 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.298 * [taylor]: Taking taylor expansion of x in x 3.298 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (/ 1 1) into 1 3.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.299 * [taylor]: Taking taylor expansion of x in x 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (/ 1 1) into 1 3.300 * [backup-simplify]: Simplify (* 1 1) into 1 3.300 * [backup-simplify]: Simplify (+ 0 1) into 1 3.301 * [backup-simplify]: Simplify (sqrt 1) into 1 3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.303 * [backup-simplify]: Simplify (+ 0 0) into 0 3.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.304 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.305 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.305 * [taylor]: Taking taylor expansion of 1/2 in x 3.305 * [backup-simplify]: Simplify 1/2 into 1/2 3.305 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.305 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.305 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.305 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.305 * [taylor]: Taking taylor expansion of 1 in x 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [taylor]: Taking taylor expansion of 1 in x 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.305 * [taylor]: Taking taylor expansion of x in x 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [backup-simplify]: Simplify (/ 1 1) into 1 3.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.305 * [taylor]: Taking taylor expansion of x in x 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (/ 1 1) into 1 3.306 * [backup-simplify]: Simplify (* 1 1) into 1 3.307 * [backup-simplify]: Simplify (+ 0 1) into 1 3.307 * [backup-simplify]: Simplify (sqrt 1) into 1 3.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.311 * [backup-simplify]: Simplify 1/2 into 1/2 3.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (* 1 1) into 1 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.316 * [backup-simplify]: Simplify (+ 1 0) into 1 3.317 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.318 * [backup-simplify]: Simplify -1/4 into -1/4 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.330 * [backup-simplify]: Simplify (+ 0 0) into 0 3.330 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.331 * [backup-simplify]: Simplify 3/16 into 3/16 3.332 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 3.332 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.332 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.332 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.332 * [taylor]: Taking taylor expansion of 1/2 in x 3.332 * [backup-simplify]: Simplify 1/2 into 1/2 3.332 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.332 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.332 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.332 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.332 * [taylor]: Taking taylor expansion of 1 in x 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [taylor]: Taking taylor expansion of 1 in x 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.332 * [taylor]: Taking taylor expansion of -1 in x 3.332 * [backup-simplify]: Simplify -1 into -1 3.332 * [taylor]: Taking taylor expansion of x in x 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (/ -1 1) into -1 3.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.332 * [taylor]: Taking taylor expansion of -1 in x 3.332 * [backup-simplify]: Simplify -1 into -1 3.332 * [taylor]: Taking taylor expansion of x in x 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.333 * [backup-simplify]: Simplify (/ -1 1) into -1 3.333 * [backup-simplify]: Simplify (* -1 -1) into 1 3.333 * [backup-simplify]: Simplify (+ 0 1) into 1 3.333 * [backup-simplify]: Simplify (sqrt 1) into 1 3.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.336 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.336 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.336 * [taylor]: Taking taylor expansion of 1/2 in x 3.336 * [backup-simplify]: Simplify 1/2 into 1/2 3.336 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.336 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.336 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.336 * [taylor]: Taking taylor expansion of 1 in x 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of 1 in x 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.336 * [taylor]: Taking taylor expansion of -1 in x 3.336 * [backup-simplify]: Simplify -1 into -1 3.336 * [taylor]: Taking taylor expansion of x in x 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [backup-simplify]: Simplify (/ -1 1) into -1 3.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.336 * [taylor]: Taking taylor expansion of -1 in x 3.336 * [backup-simplify]: Simplify -1 into -1 3.336 * [taylor]: Taking taylor expansion of x in x 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (/ -1 1) into -1 3.337 * [backup-simplify]: Simplify (* -1 -1) into 1 3.337 * [backup-simplify]: Simplify (+ 0 1) into 1 3.337 * [backup-simplify]: Simplify (sqrt 1) into 1 3.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.339 * [backup-simplify]: Simplify (+ 0 0) into 0 3.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.340 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.340 * [backup-simplify]: Simplify 1/2 into 1/2 3.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify (* 1 1) into 1 3.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.343 * [backup-simplify]: Simplify (+ 1 0) into 1 3.343 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.344 * [backup-simplify]: Simplify -1/4 into -1/4 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.346 * [backup-simplify]: Simplify (+ 0 0) into 0 3.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.351 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.352 * [backup-simplify]: Simplify 3/16 into 3/16 3.352 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 3.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 3.352 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.352 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.352 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.352 * [taylor]: Taking taylor expansion of 1/2 in x 3.352 * [backup-simplify]: Simplify 1/2 into 1/2 3.352 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.353 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.353 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.353 * [taylor]: Taking taylor expansion of 1 in x 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of 1 in x 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (* x x) in x 3.353 * [taylor]: Taking taylor expansion of x in x 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of x in x 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (* 1 1) into 1 3.353 * [backup-simplify]: Simplify (* 0 0) into 0 3.353 * [backup-simplify]: Simplify (+ 1 0) into 1 3.354 * [backup-simplify]: Simplify (sqrt 1) into 1 3.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.354 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.355 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.355 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.355 * [taylor]: Taking taylor expansion of 1/2 in x 3.355 * [backup-simplify]: Simplify 1/2 into 1/2 3.355 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.355 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.355 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.355 * [taylor]: Taking taylor expansion of 1 in x 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of 1 in x 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of (* x x) in x 3.356 * [taylor]: Taking taylor expansion of x in x 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of x in x 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (* 0 0) into 0 3.356 * [backup-simplify]: Simplify (+ 1 0) into 1 3.357 * [backup-simplify]: Simplify (sqrt 1) into 1 3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.358 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.358 * [backup-simplify]: Simplify 1/2 into 1/2 3.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.360 * [backup-simplify]: Simplify (+ 0 1) into 1 3.361 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.361 * [backup-simplify]: Simplify -1/4 into -1/4 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.368 * [backup-simplify]: Simplify 3/16 into 3/16 3.369 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 3.369 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.369 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.369 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.369 * [taylor]: Taking taylor expansion of 1/2 in x 3.369 * [backup-simplify]: Simplify 1/2 into 1/2 3.369 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.369 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.369 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.369 * [taylor]: Taking taylor expansion of 1 in x 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of 1 in x 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.369 * [taylor]: Taking taylor expansion of x in x 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (/ 1 1) into 1 3.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.370 * [taylor]: Taking taylor expansion of x in x 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (/ 1 1) into 1 3.371 * [backup-simplify]: Simplify (* 1 1) into 1 3.371 * [backup-simplify]: Simplify (+ 0 1) into 1 3.372 * [backup-simplify]: Simplify (sqrt 1) into 1 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.374 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.375 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.375 * [taylor]: Taking taylor expansion of 1/2 in x 3.375 * [backup-simplify]: Simplify 1/2 into 1/2 3.375 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.376 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.376 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.376 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.376 * [taylor]: Taking taylor expansion of 1 in x 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of 1 in x 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.376 * [taylor]: Taking taylor expansion of x in x 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.376 * [taylor]: Taking taylor expansion of x in x 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (/ 1 1) into 1 3.377 * [backup-simplify]: Simplify (* 1 1) into 1 3.378 * [backup-simplify]: Simplify (+ 0 1) into 1 3.378 * [backup-simplify]: Simplify (sqrt 1) into 1 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.382 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.382 * [backup-simplify]: Simplify 1/2 into 1/2 3.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify (* 1 1) into 1 3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.386 * [backup-simplify]: Simplify (+ 1 0) into 1 3.387 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.389 * [backup-simplify]: Simplify -1/4 into -1/4 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.400 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.403 * [backup-simplify]: Simplify 3/16 into 3/16 3.404 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 3.404 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.404 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.404 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.404 * [taylor]: Taking taylor expansion of 1/2 in x 3.404 * [backup-simplify]: Simplify 1/2 into 1/2 3.404 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.404 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.404 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.404 * [taylor]: Taking taylor expansion of 1 in x 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [taylor]: Taking taylor expansion of 1 in x 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.404 * [taylor]: Taking taylor expansion of -1 in x 3.404 * [backup-simplify]: Simplify -1 into -1 3.404 * [taylor]: Taking taylor expansion of x in x 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.405 * [backup-simplify]: Simplify (/ -1 1) into -1 3.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.405 * [taylor]: Taking taylor expansion of -1 in x 3.405 * [backup-simplify]: Simplify -1 into -1 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [backup-simplify]: Simplify (/ -1 1) into -1 3.406 * [backup-simplify]: Simplify (* -1 -1) into 1 3.406 * [backup-simplify]: Simplify (+ 0 1) into 1 3.406 * [backup-simplify]: Simplify (sqrt 1) into 1 3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.409 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.409 * [backup-simplify]: Simplify (+ 0 0) into 0 3.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.410 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.410 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.410 * [taylor]: Taking taylor expansion of 1/2 in x 3.410 * [backup-simplify]: Simplify 1/2 into 1/2 3.410 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.410 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.410 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.410 * [taylor]: Taking taylor expansion of 1 in x 3.410 * [backup-simplify]: Simplify 1 into 1 3.410 * [taylor]: Taking taylor expansion of 1 in x 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.411 * [taylor]: Taking taylor expansion of -1 in x 3.411 * [backup-simplify]: Simplify -1 into -1 3.411 * [taylor]: Taking taylor expansion of x in x 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (/ -1 1) into -1 3.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.411 * [taylor]: Taking taylor expansion of -1 in x 3.411 * [backup-simplify]: Simplify -1 into -1 3.411 * [taylor]: Taking taylor expansion of x in x 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.412 * [backup-simplify]: Simplify (/ -1 1) into -1 3.412 * [backup-simplify]: Simplify (* -1 -1) into 1 3.413 * [backup-simplify]: Simplify (+ 0 1) into 1 3.413 * [backup-simplify]: Simplify (sqrt 1) into 1 3.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.417 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.417 * [backup-simplify]: Simplify 1/2 into 1/2 3.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.422 * [backup-simplify]: Simplify (+ 1 0) into 1 3.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.425 * [backup-simplify]: Simplify -1/4 into -1/4 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.429 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.437 * [backup-simplify]: Simplify 3/16 into 3/16 3.437 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 3.437 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2) 3.437 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.438 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.438 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.438 * [taylor]: Taking taylor expansion of 1/2 in x 3.438 * [backup-simplify]: Simplify 1/2 into 1/2 3.438 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.438 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.438 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.438 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.438 * [taylor]: Taking taylor expansion of 1 in x 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [taylor]: Taking taylor expansion of 1 in x 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [taylor]: Taking taylor expansion of (* x x) in x 3.438 * [taylor]: Taking taylor expansion of x in x 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [taylor]: Taking taylor expansion of x in x 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [backup-simplify]: Simplify (* 1 1) into 1 3.440 * [backup-simplify]: Simplify (* 0 0) into 0 3.440 * [backup-simplify]: Simplify (+ 1 0) into 1 3.441 * [backup-simplify]: Simplify (sqrt 1) into 1 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.441 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.442 * [backup-simplify]: Simplify (+ 0 0) into 0 3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.442 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.442 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.442 * [taylor]: Taking taylor expansion of 1/2 in x 3.442 * [backup-simplify]: Simplify 1/2 into 1/2 3.442 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.443 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.443 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.443 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.443 * [taylor]: Taking taylor expansion of 1 in x 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [taylor]: Taking taylor expansion of 1 in x 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [taylor]: Taking taylor expansion of (* x x) in x 3.443 * [taylor]: Taking taylor expansion of x in x 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [taylor]: Taking taylor expansion of x in x 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (* 1 1) into 1 3.443 * [backup-simplify]: Simplify (* 0 0) into 0 3.444 * [backup-simplify]: Simplify (+ 1 0) into 1 3.444 * [backup-simplify]: Simplify (sqrt 1) into 1 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.445 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.446 * [backup-simplify]: Simplify 1/2 into 1/2 3.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.447 * [backup-simplify]: Simplify (+ 0 1) into 1 3.448 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.449 * [backup-simplify]: Simplify -1/4 into -1/4 3.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.450 * [backup-simplify]: Simplify (+ 0 0) into 0 3.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.454 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.455 * [backup-simplify]: Simplify 3/16 into 3/16 3.455 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 3.456 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.456 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.456 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.456 * [taylor]: Taking taylor expansion of 1/2 in x 3.456 * [backup-simplify]: Simplify 1/2 into 1/2 3.456 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.456 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.456 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.456 * [taylor]: Taking taylor expansion of 1 in x 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [taylor]: Taking taylor expansion of 1 in x 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.456 * [taylor]: Taking taylor expansion of x in x 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify (/ 1 1) into 1 3.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.456 * [taylor]: Taking taylor expansion of x in x 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.457 * [backup-simplify]: Simplify (/ 1 1) into 1 3.457 * [backup-simplify]: Simplify (* 1 1) into 1 3.457 * [backup-simplify]: Simplify (+ 0 1) into 1 3.458 * [backup-simplify]: Simplify (sqrt 1) into 1 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.459 * [backup-simplify]: Simplify (+ 0 0) into 0 3.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.460 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.460 * [taylor]: Taking taylor expansion of 1/2 in x 3.460 * [backup-simplify]: Simplify 1/2 into 1/2 3.460 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.460 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.460 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.460 * [taylor]: Taking taylor expansion of 1 in x 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [taylor]: Taking taylor expansion of 1 in x 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.461 * [taylor]: Taking taylor expansion of x in x 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (/ 1 1) into 1 3.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.461 * [taylor]: Taking taylor expansion of x in x 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (/ 1 1) into 1 3.461 * [backup-simplify]: Simplify (* 1 1) into 1 3.462 * [backup-simplify]: Simplify (+ 0 1) into 1 3.462 * [backup-simplify]: Simplify (sqrt 1) into 1 3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (+ 0 0) into 0 3.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.464 * [backup-simplify]: Simplify 1/2 into 1/2 3.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (* 1 1) into 1 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.467 * [backup-simplify]: Simplify (+ 1 0) into 1 3.468 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.468 * [backup-simplify]: Simplify -1/4 into -1/4 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ 0 0) into 0 3.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.474 * [backup-simplify]: Simplify (+ 0 0) into 0 3.475 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.476 * [backup-simplify]: Simplify 3/16 into 3/16 3.476 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 3.477 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.477 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.477 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.477 * [taylor]: Taking taylor expansion of 1/2 in x 3.477 * [backup-simplify]: Simplify 1/2 into 1/2 3.477 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.477 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.477 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.477 * [taylor]: Taking taylor expansion of 1 in x 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of 1 in x 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.477 * [taylor]: Taking taylor expansion of -1 in x 3.477 * [backup-simplify]: Simplify -1 into -1 3.477 * [taylor]: Taking taylor expansion of x in x 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify (/ -1 1) into -1 3.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.477 * [taylor]: Taking taylor expansion of -1 in x 3.477 * [backup-simplify]: Simplify -1 into -1 3.477 * [taylor]: Taking taylor expansion of x in x 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (/ -1 1) into -1 3.478 * [backup-simplify]: Simplify (* -1 -1) into 1 3.478 * [backup-simplify]: Simplify (+ 0 1) into 1 3.478 * [backup-simplify]: Simplify (sqrt 1) into 1 3.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.480 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.480 * [backup-simplify]: Simplify (+ 0 0) into 0 3.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.481 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.481 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.481 * [taylor]: Taking taylor expansion of 1/2 in x 3.481 * [backup-simplify]: Simplify 1/2 into 1/2 3.481 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.481 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.481 * [taylor]: Taking taylor expansion of 1 in x 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [taylor]: Taking taylor expansion of 1 in x 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.481 * [taylor]: Taking taylor expansion of -1 in x 3.481 * [backup-simplify]: Simplify -1 into -1 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (/ -1 1) into -1 3.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.481 * [taylor]: Taking taylor expansion of -1 in x 3.481 * [backup-simplify]: Simplify -1 into -1 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (/ -1 1) into -1 3.482 * [backup-simplify]: Simplify (* -1 -1) into 1 3.482 * [backup-simplify]: Simplify (+ 0 1) into 1 3.482 * [backup-simplify]: Simplify (sqrt 1) into 1 3.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.484 * [backup-simplify]: Simplify (+ 0 0) into 0 3.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.484 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.485 * [backup-simplify]: Simplify 1/2 into 1/2 3.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify (* 1 1) into 1 3.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.487 * [backup-simplify]: Simplify (+ 1 0) into 1 3.488 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.489 * [backup-simplify]: Simplify -1/4 into -1/4 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.495 * [backup-simplify]: Simplify (+ 0 0) into 0 3.496 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.497 * [backup-simplify]: Simplify 3/16 into 3/16 3.497 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 3.497 * * * [progress]: simplifying candidates 3.497 * * * * [progress]: [ 1 / 125 ] simplifiying candidate # 3.497 * * * * [progress]: [ 2 / 125 ] simplifiying candidate # 3.497 * * * * [progress]: [ 3 / 125 ] simplifiying candidate # 3.497 * * * * [progress]: [ 4 / 125 ] simplifiying candidate # 3.497 * * * * [progress]: [ 5 / 125 ] simplifiying candidate # 3.497 * * * * [progress]: [ 6 / 125 ] simplifiying candidate # 3.497 * * * * [progress]: [ 7 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 8 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 9 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 10 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 11 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 12 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 13 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 14 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 15 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 16 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 17 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 18 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 19 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 20 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 21 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 22 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 23 / 125 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 3.498 * * * * [progress]: [ 24 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 25 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 26 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 27 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 28 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 29 / 125 ] simplifiying candidate # 3.498 * * * * [progress]: [ 30 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 31 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 32 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 33 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 34 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 35 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 36 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 37 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 38 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 39 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 40 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 41 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 42 / 125 ] simplifiying candidate # 3.499 * * * * [progress]: [ 43 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 44 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 45 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 46 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 47 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 48 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 49 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 50 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 51 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 52 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 53 / 125 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))) 1)))> 3.500 * * * * [progress]: [ 54 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 55 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 56 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 57 / 125 ] simplifiying candidate # 3.500 * * * * [progress]: [ 58 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 59 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 60 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 61 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 62 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 63 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 64 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 65 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 66 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 67 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 68 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 69 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 70 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 71 / 125 ] simplifiying candidate # 3.501 * * * * [progress]: [ 72 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 73 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 74 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 75 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 76 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 77 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 78 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 79 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 80 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 81 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 82 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 83 / 125 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 3.502 * * * * [progress]: [ 84 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 85 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 86 / 125 ] simplifiying candidate # 3.502 * * * * [progress]: [ 87 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 88 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 89 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 90 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 91 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 92 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 93 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 94 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 95 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 96 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 97 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 98 / 125 ] simplifiying candidate # 3.503 * * * * [progress]: [ 99 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 100 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 101 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 102 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 103 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 104 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 105 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 106 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 107 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 108 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 109 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 110 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 111 / 125 ] simplifiying candidate # 3.504 * * * * [progress]: [ 112 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 113 / 125 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1)))> 3.505 * * * * [progress]: [ 114 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 115 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 116 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 117 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 118 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 119 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 120 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 121 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 122 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 123 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 124 / 125 ] simplifiying candidate # 3.505 * * * * [progress]: [ 125 / 125 ] simplifiying candidate # 3.508 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt 1) (sqrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma 1 1 (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ (exp 1) (exp (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (pow 1 3) (pow (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 3)) (+ (* 1 1) (+ (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2)) (- 1 (* 1/2 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (- 1/2) (- (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (- 1/2) (- (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt 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(hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (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)))) 3.511 * * [simplify]: iteration 0: 149 enodes 3.598 * * [simplify]: iteration 1: 366 enodes 3.768 * * [simplify]: iteration 2: 1124 enodes 3.965 * * [simplify]: iteration 3: 2008 enodes 4.330 * * [simplify]: iteration complete: 2008 enodes 4.330 * * [simplify]: Extracting #0: cost 57 inf + 0 4.331 * * [simplify]: Extracting #1: cost 258 inf + 3 4.334 * * [simplify]: Extracting #2: cost 513 inf + 2666 4.343 * * [simplify]: Extracting #3: cost 420 inf + 25009 4.370 * * [simplify]: Extracting #4: cost 158 inf + 78901 4.416 * * [simplify]: Extracting #5: cost 50 inf + 111381 4.443 * * [simplify]: Extracting #6: cost 15 inf + 120476 4.486 * * [simplify]: Extracting #7: cost 3 inf + 122708 4.526 * * [simplify]: Extracting #8: cost 0 inf + 123587 4.566 * [simplify]: Simplified to: (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (expm1 (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log1p (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (exp (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (* (* (* (+ 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))))))) (+ (fma (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 1) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1/2 1) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1/2 1) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (real->posit16 (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (fma (* (* x x) (* x x)) -39/128 (fma 3/8 (* x x) (* 275/1024 (* (* x (* x x)) (* x (* x x)))))) (+ (- (- 1 (+ (/ 3/16 (* (sqrt 1/8) (* x x))) (/ 3/16 (* x (sqrt 1/8))))) (sqrt 1/8)) (/ (/ 9/512 (* 1/8 (sqrt 1/8))) (* x x))) (+ (- (- (+ (/ 3/16 (* x (sqrt 1/8))) 1) (sqrt 1/8)) (/ 3/16 (* (sqrt 1/8) (* x x)))) (/ (/ 9/512 (* 1/8 (sqrt 1/8))) (* x x))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 1/2 x) (+ (/ 3/16 (pow x 5)) (/ -1/4 (* x (* x x))))) (- (/ (/ 1/4 x) (* x x)) (+ (/ 1/2 x) (/ 3/16 (pow x 5)))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 1/2 x) (+ (/ 3/16 (pow x 5)) (/ -1/4 (* x (* x x))))) (- (/ (/ 1/4 x) (* x x)) (+ (/ 1/2 x) (/ 3/16 (pow x 5)))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 1/2 x) (+ (/ 3/16 (pow x 5)) (/ -1/4 (* x (* x x))))) (- (/ (/ 1/4 x) (* x x)) (+ (/ 1/2 x) (/ 3/16 (pow x 5)))) 4.580 * * * [progress]: adding candidates to table 5.346 * * [progress]: iteration 3 / 4 5.346 * * * [progress]: picking best candidate 5.364 * * * * [pick]: Picked # 5.364 * * * [progress]: localizing error 5.405 * * * [progress]: generating rewritten candidates 5.405 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.455 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.505 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) 5.512 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2 2) 5.515 * * * [progress]: generating series expansions 5.515 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.515 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 5.516 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 5.516 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 5.516 * [taylor]: Taking taylor expansion of 1 in x 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.516 * [taylor]: Taking taylor expansion of 1/2 in x 5.516 * [backup-simplify]: Simplify 1/2 into 1/2 5.516 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.516 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.516 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.516 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.516 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.516 * [taylor]: Taking taylor expansion of 1 in x 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of 1 in x 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of (* x x) in x 5.516 * [taylor]: Taking taylor expansion of x in x 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [taylor]: Taking taylor expansion of x in x 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.517 * [backup-simplify]: Simplify (* 1 1) into 1 5.517 * [backup-simplify]: Simplify (* 0 0) into 0 5.518 * [backup-simplify]: Simplify (+ 1 0) into 1 5.518 * [backup-simplify]: Simplify (sqrt 1) into 1 5.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.520 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.520 * [backup-simplify]: Simplify (+ 0 0) into 0 5.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.521 * [backup-simplify]: Simplify (/ 1 1) into 1 5.521 * [taylor]: Taking taylor expansion of 1/2 in x 5.521 * [backup-simplify]: Simplify 1/2 into 1/2 5.522 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.522 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.522 * [backup-simplify]: Simplify (sqrt 1) into 1 5.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.524 * [backup-simplify]: Simplify (+ 0 0) into 0 5.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.525 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 5.525 * [taylor]: Taking taylor expansion of 1 in x 5.525 * [backup-simplify]: Simplify 1 into 1 5.525 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.525 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.525 * [taylor]: Taking taylor expansion of 1/2 in x 5.525 * [backup-simplify]: Simplify 1/2 into 1/2 5.525 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.525 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.525 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.525 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.525 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.525 * [taylor]: Taking taylor expansion of 1 in x 5.525 * [backup-simplify]: Simplify 1 into 1 5.525 * [taylor]: Taking taylor expansion of 1 in x 5.525 * [backup-simplify]: Simplify 1 into 1 5.525 * [taylor]: Taking taylor expansion of (* x x) in x 5.525 * [taylor]: Taking taylor expansion of x in x 5.525 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [taylor]: Taking taylor expansion of x in x 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (* 1 1) into 1 5.526 * [backup-simplify]: Simplify (* 0 0) into 0 5.527 * [backup-simplify]: Simplify (+ 1 0) into 1 5.527 * [backup-simplify]: Simplify (sqrt 1) into 1 5.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.528 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.529 * [backup-simplify]: Simplify (+ 0 0) into 0 5.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.530 * [backup-simplify]: Simplify (/ 1 1) into 1 5.530 * [taylor]: Taking taylor expansion of 1/2 in x 5.530 * [backup-simplify]: Simplify 1/2 into 1/2 5.530 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.531 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.531 * [backup-simplify]: Simplify (sqrt 1) into 1 5.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.533 * [backup-simplify]: Simplify (+ 0 0) into 0 5.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.534 * [backup-simplify]: Simplify (- 1) into -1 5.535 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify (- 0) into 0 5.536 * [backup-simplify]: Simplify (+ 0 0) into 0 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.538 * [backup-simplify]: Simplify (+ 0 1) into 1 5.539 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.541 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.541 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.542 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 5.543 * [backup-simplify]: Simplify (- -1/8) into 1/8 5.543 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 5.543 * [backup-simplify]: Simplify 1/8 into 1/8 5.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.546 * [backup-simplify]: Simplify (+ 0 0) into 0 5.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.550 * [backup-simplify]: Simplify (+ 0 0) into 0 5.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 5.551 * [backup-simplify]: Simplify (- 0) into 0 5.552 * [backup-simplify]: Simplify (+ 0 0) into 0 5.552 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.555 * [backup-simplify]: Simplify (+ 0 0) into 0 5.556 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.560 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.561 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.562 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 5.563 * [backup-simplify]: Simplify (- 11/128) into -11/128 5.563 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 5.563 * [backup-simplify]: Simplify -11/128 into -11/128 5.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.567 * [backup-simplify]: Simplify (+ 0 0) into 0 5.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 5.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 5.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 5.576 * [backup-simplify]: Simplify (- 0) into 0 5.576 * [backup-simplify]: Simplify (+ 0 0) into 0 5.577 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.581 * [backup-simplify]: Simplify (+ 0 0) into 0 5.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 5.587 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 5.588 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 5.590 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 5.590 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 5.591 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 5.591 * [backup-simplify]: Simplify 69/1024 into 69/1024 5.591 * [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))) 5.591 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 5.591 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 5.591 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 5.591 * [taylor]: Taking taylor expansion of 1 in x 5.591 * [backup-simplify]: Simplify 1 into 1 5.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.592 * [taylor]: Taking taylor expansion of 1/2 in x 5.592 * [backup-simplify]: Simplify 1/2 into 1/2 5.592 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.592 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.592 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.592 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.592 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.592 * [taylor]: Taking taylor expansion of 1 in x 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [taylor]: Taking taylor expansion of 1 in x 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.592 * [taylor]: Taking taylor expansion of x in x 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [backup-simplify]: Simplify (/ 1 1) into 1 5.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.592 * [taylor]: Taking taylor expansion of x in x 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (/ 1 1) into 1 5.593 * [backup-simplify]: Simplify (* 1 1) into 1 5.594 * [backup-simplify]: Simplify (+ 0 1) into 1 5.594 * [backup-simplify]: Simplify (sqrt 1) into 1 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.596 * [backup-simplify]: Simplify (+ 0 0) into 0 5.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.597 * [backup-simplify]: Simplify (/ 1 1) into 1 5.597 * [taylor]: Taking taylor expansion of 1/2 in x 5.598 * [backup-simplify]: Simplify 1/2 into 1/2 5.598 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.598 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.599 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.599 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.601 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.601 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 5.601 * [taylor]: Taking taylor expansion of 1 in x 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.601 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.601 * [taylor]: Taking taylor expansion of 1/2 in x 5.601 * [backup-simplify]: Simplify 1/2 into 1/2 5.601 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.601 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.601 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.601 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.601 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.601 * [taylor]: Taking taylor expansion of 1 in x 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [taylor]: Taking taylor expansion of 1 in x 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.601 * [taylor]: Taking taylor expansion of x in x 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (/ 1 1) into 1 5.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.602 * [taylor]: Taking taylor expansion of x in x 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (/ 1 1) into 1 5.602 * [backup-simplify]: Simplify (* 1 1) into 1 5.603 * [backup-simplify]: Simplify (+ 0 1) into 1 5.603 * [backup-simplify]: Simplify (sqrt 1) into 1 5.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.606 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.607 * [taylor]: Taking taylor expansion of 1/2 in x 5.607 * [backup-simplify]: Simplify 1/2 into 1/2 5.611 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.611 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.612 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.612 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.613 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.614 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.615 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 5.616 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 5.617 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.619 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.620 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.624 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.626 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 5.628 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 5.629 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 5.632 * [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))) 5.632 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 5.632 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 5.632 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 5.632 * [taylor]: Taking taylor expansion of 1 in x 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 5.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.632 * [taylor]: Taking taylor expansion of 1/2 in x 5.633 * [backup-simplify]: Simplify 1/2 into 1/2 5.633 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.633 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.633 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.633 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.633 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.633 * [taylor]: Taking taylor expansion of 1 in x 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [taylor]: Taking taylor expansion of 1 in x 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.633 * [taylor]: Taking taylor expansion of -1 in x 5.633 * [backup-simplify]: Simplify -1 into -1 5.633 * [taylor]: Taking taylor expansion of x in x 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ -1 1) into -1 5.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.633 * [taylor]: Taking taylor expansion of -1 in x 5.633 * [backup-simplify]: Simplify -1 into -1 5.633 * [taylor]: Taking taylor expansion of x in x 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ -1 1) into -1 5.634 * [backup-simplify]: Simplify (* -1 -1) into 1 5.634 * [backup-simplify]: Simplify (+ 0 1) into 1 5.634 * [backup-simplify]: Simplify (sqrt 1) into 1 5.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.637 * [backup-simplify]: Simplify (+ 0 0) into 0 5.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.638 * [backup-simplify]: Simplify (/ 1 1) into 1 5.638 * [taylor]: Taking taylor expansion of 1/2 in x 5.638 * [backup-simplify]: Simplify 1/2 into 1/2 5.638 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.639 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.639 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.640 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.641 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.641 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 5.641 * [taylor]: Taking taylor expansion of 1 in x 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 5.641 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.642 * [taylor]: Taking taylor expansion of 1/2 in x 5.642 * [backup-simplify]: Simplify 1/2 into 1/2 5.642 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.642 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.642 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.642 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.642 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.642 * [taylor]: Taking taylor expansion of 1 in x 5.642 * [backup-simplify]: Simplify 1 into 1 5.642 * [taylor]: Taking taylor expansion of 1 in x 5.642 * [backup-simplify]: Simplify 1 into 1 5.642 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.642 * [taylor]: Taking taylor expansion of -1 in x 5.642 * [backup-simplify]: Simplify -1 into -1 5.642 * [taylor]: Taking taylor expansion of x in x 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 1 into 1 5.642 * [backup-simplify]: Simplify (/ -1 1) into -1 5.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.643 * [taylor]: Taking taylor expansion of -1 in x 5.643 * [backup-simplify]: Simplify -1 into -1 5.643 * [taylor]: Taking taylor expansion of x in x 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (/ -1 1) into -1 5.644 * [backup-simplify]: Simplify (* -1 -1) into 1 5.644 * [backup-simplify]: Simplify (+ 0 1) into 1 5.644 * [backup-simplify]: Simplify (sqrt 1) into 1 5.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.649 * [backup-simplify]: Simplify (/ 1 1) into 1 5.649 * [taylor]: Taking taylor expansion of 1/2 in x 5.649 * [backup-simplify]: Simplify 1/2 into 1/2 5.649 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.650 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.650 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.650 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.652 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.653 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.655 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 5.656 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 5.657 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.661 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.663 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.665 * [backup-simplify]: Simplify (+ 0 0) into 0 5.670 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.672 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 5.676 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 5.678 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 5.682 * [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)) 5.683 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.683 * [backup-simplify]: Simplify (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 5.683 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 5.683 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 5.683 * [taylor]: Taking taylor expansion of 1 in x 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.683 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.683 * [taylor]: Taking taylor expansion of 1/2 in x 5.683 * [backup-simplify]: Simplify 1/2 into 1/2 5.683 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.683 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.683 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.683 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.683 * [taylor]: Taking taylor expansion of 1 in x 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [taylor]: Taking taylor expansion of 1 in x 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [taylor]: Taking taylor expansion of (* x x) in x 5.683 * [taylor]: Taking taylor expansion of x in x 5.683 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [taylor]: Taking taylor expansion of x in x 5.683 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify (* 1 1) into 1 5.684 * [backup-simplify]: Simplify (* 0 0) into 0 5.685 * [backup-simplify]: Simplify (+ 1 0) into 1 5.685 * [backup-simplify]: Simplify (sqrt 1) into 1 5.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.686 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.687 * [backup-simplify]: Simplify (+ 0 0) into 0 5.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.687 * [backup-simplify]: Simplify (/ 1 1) into 1 5.687 * [taylor]: Taking taylor expansion of 1/2 in x 5.688 * [backup-simplify]: Simplify 1/2 into 1/2 5.688 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.688 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.689 * [backup-simplify]: Simplify (sqrt 1) into 1 5.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.690 * [backup-simplify]: Simplify (+ 0 0) into 0 5.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.691 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 5.691 * [taylor]: Taking taylor expansion of 1 in x 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.691 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.691 * [taylor]: Taking taylor expansion of 1/2 in x 5.691 * [backup-simplify]: Simplify 1/2 into 1/2 5.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.691 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.691 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.691 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.691 * [taylor]: Taking taylor expansion of 1 in x 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [taylor]: Taking taylor expansion of 1 in x 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [taylor]: Taking taylor expansion of (* x x) in x 5.691 * [taylor]: Taking taylor expansion of x in x 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify 1 into 1 5.692 * [taylor]: Taking taylor expansion of x in x 5.692 * [backup-simplify]: Simplify 0 into 0 5.692 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (* 1 1) into 1 5.693 * [backup-simplify]: Simplify (* 0 0) into 0 5.693 * [backup-simplify]: Simplify (+ 1 0) into 1 5.693 * [backup-simplify]: Simplify (sqrt 1) into 1 5.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.695 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.695 * [backup-simplify]: Simplify (+ 0 0) into 0 5.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.696 * [backup-simplify]: Simplify (/ 1 1) into 1 5.696 * [taylor]: Taking taylor expansion of 1/2 in x 5.696 * [backup-simplify]: Simplify 1/2 into 1/2 5.697 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.697 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.697 * [backup-simplify]: Simplify (sqrt 1) into 1 5.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.699 * [backup-simplify]: Simplify (+ 0 0) into 0 5.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.701 * [backup-simplify]: Simplify (- 1) into -1 5.701 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify (- 0) into 0 5.702 * [backup-simplify]: Simplify (+ 0 0) into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.704 * [backup-simplify]: Simplify (+ 0 1) into 1 5.705 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.707 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.708 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.709 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 5.709 * [backup-simplify]: Simplify (- -1/8) into 1/8 5.709 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 5.710 * [backup-simplify]: Simplify 1/8 into 1/8 5.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.712 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.712 * [backup-simplify]: Simplify (+ 0 0) into 0 5.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.717 * [backup-simplify]: Simplify (+ 0 0) into 0 5.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 5.718 * [backup-simplify]: Simplify (- 0) into 0 5.719 * [backup-simplify]: Simplify (+ 0 0) into 0 5.719 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.722 * [backup-simplify]: Simplify (+ 0 0) into 0 5.723 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.727 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.727 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.729 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 5.729 * [backup-simplify]: Simplify (- 11/128) into -11/128 5.729 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 5.730 * [backup-simplify]: Simplify -11/128 into -11/128 5.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.735 * [backup-simplify]: Simplify (+ 0 0) into 0 5.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 5.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 5.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 5.742 * [backup-simplify]: Simplify (+ 0 0) into 0 5.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 5.744 * [backup-simplify]: Simplify (- 0) into 0 5.745 * [backup-simplify]: Simplify (+ 0 0) into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.748 * [backup-simplify]: Simplify (+ 0 0) into 0 5.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 5.755 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 5.756 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 5.758 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 5.758 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 5.759 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 5.759 * [backup-simplify]: Simplify 69/1024 into 69/1024 5.759 * [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))) 5.760 * [backup-simplify]: Simplify (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 5.760 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 5.760 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 5.760 * [taylor]: Taking taylor expansion of 1 in x 5.760 * [backup-simplify]: Simplify 1 into 1 5.760 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.760 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.760 * [taylor]: Taking taylor expansion of 1/2 in x 5.760 * [backup-simplify]: Simplify 1/2 into 1/2 5.760 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.760 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.760 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.760 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.760 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.760 * [taylor]: Taking taylor expansion of 1 in x 5.760 * [backup-simplify]: Simplify 1 into 1 5.760 * [taylor]: Taking taylor expansion of 1 in x 5.760 * [backup-simplify]: Simplify 1 into 1 5.760 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.760 * [taylor]: Taking taylor expansion of x in x 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (/ 1 1) into 1 5.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.761 * [taylor]: Taking taylor expansion of x in x 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (/ 1 1) into 1 5.762 * [backup-simplify]: Simplify (* 1 1) into 1 5.762 * [backup-simplify]: Simplify (+ 0 1) into 1 5.763 * [backup-simplify]: Simplify (sqrt 1) into 1 5.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.766 * [backup-simplify]: Simplify (+ 0 0) into 0 5.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.767 * [backup-simplify]: Simplify (/ 1 1) into 1 5.767 * [taylor]: Taking taylor expansion of 1/2 in x 5.767 * [backup-simplify]: Simplify 1/2 into 1/2 5.767 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.768 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.768 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.769 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.770 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.770 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 5.770 * [taylor]: Taking taylor expansion of 1 in x 5.770 * [backup-simplify]: Simplify 1 into 1 5.770 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.770 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.770 * [taylor]: Taking taylor expansion of 1/2 in x 5.770 * [backup-simplify]: Simplify 1/2 into 1/2 5.770 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.770 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.770 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.771 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.771 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.771 * [taylor]: Taking taylor expansion of 1 in x 5.771 * [backup-simplify]: Simplify 1 into 1 5.771 * [taylor]: Taking taylor expansion of 1 in x 5.771 * [backup-simplify]: Simplify 1 into 1 5.771 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.771 * [taylor]: Taking taylor expansion of x in x 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 1 into 1 5.771 * [backup-simplify]: Simplify (/ 1 1) into 1 5.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.771 * [taylor]: Taking taylor expansion of x in x 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 1 into 1 5.772 * [backup-simplify]: Simplify (/ 1 1) into 1 5.772 * [backup-simplify]: Simplify (* 1 1) into 1 5.773 * [backup-simplify]: Simplify (+ 0 1) into 1 5.773 * [backup-simplify]: Simplify (sqrt 1) into 1 5.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.776 * [backup-simplify]: Simplify (+ 0 0) into 0 5.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.777 * [backup-simplify]: Simplify (/ 1 1) into 1 5.777 * [taylor]: Taking taylor expansion of 1/2 in x 5.777 * [backup-simplify]: Simplify 1/2 into 1/2 5.777 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.778 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.778 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.778 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.780 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.781 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.782 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 5.783 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 5.785 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.789 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.791 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.793 * [backup-simplify]: Simplify (+ 0 0) into 0 5.798 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.801 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 5.805 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 5.807 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 5.813 * [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))) 5.813 * [backup-simplify]: Simplify (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 5.813 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 5.813 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 5.813 * [taylor]: Taking taylor expansion of 1 in x 5.813 * [backup-simplify]: Simplify 1 into 1 5.813 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 5.813 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.813 * [taylor]: Taking taylor expansion of 1/2 in x 5.813 * [backup-simplify]: Simplify 1/2 into 1/2 5.813 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.813 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.813 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.814 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.814 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.814 * [taylor]: Taking taylor expansion of 1 in x 5.814 * [backup-simplify]: Simplify 1 into 1 5.814 * [taylor]: Taking taylor expansion of 1 in x 5.814 * [backup-simplify]: Simplify 1 into 1 5.814 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.814 * [taylor]: Taking taylor expansion of -1 in x 5.814 * [backup-simplify]: Simplify -1 into -1 5.814 * [taylor]: Taking taylor expansion of x in x 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 1 into 1 5.814 * [backup-simplify]: Simplify (/ -1 1) into -1 5.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.814 * [taylor]: Taking taylor expansion of -1 in x 5.814 * [backup-simplify]: Simplify -1 into -1 5.814 * [taylor]: Taking taylor expansion of x in x 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 1 into 1 5.815 * [backup-simplify]: Simplify (/ -1 1) into -1 5.815 * [backup-simplify]: Simplify (* -1 -1) into 1 5.816 * [backup-simplify]: Simplify (+ 0 1) into 1 5.816 * [backup-simplify]: Simplify (sqrt 1) into 1 5.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.819 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.819 * [backup-simplify]: Simplify (+ 0 0) into 0 5.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.820 * [backup-simplify]: Simplify (/ 1 1) into 1 5.820 * [taylor]: Taking taylor expansion of 1/2 in x 5.820 * [backup-simplify]: Simplify 1/2 into 1/2 5.821 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.821 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.822 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.822 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.824 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.824 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 5.824 * [taylor]: Taking taylor expansion of 1 in x 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 5.824 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.824 * [taylor]: Taking taylor expansion of 1/2 in x 5.824 * [backup-simplify]: Simplify 1/2 into 1/2 5.824 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.824 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.824 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.825 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.825 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.825 * [taylor]: Taking taylor expansion of 1 in x 5.825 * [backup-simplify]: Simplify 1 into 1 5.825 * [taylor]: Taking taylor expansion of 1 in x 5.825 * [backup-simplify]: Simplify 1 into 1 5.825 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.825 * [taylor]: Taking taylor expansion of -1 in x 5.825 * [backup-simplify]: Simplify -1 into -1 5.825 * [taylor]: Taking taylor expansion of x in x 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify 1 into 1 5.825 * [backup-simplify]: Simplify (/ -1 1) into -1 5.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.825 * [taylor]: Taking taylor expansion of -1 in x 5.825 * [backup-simplify]: Simplify -1 into -1 5.825 * [taylor]: Taking taylor expansion of x in x 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.826 * [backup-simplify]: Simplify (/ -1 1) into -1 5.826 * [backup-simplify]: Simplify (* -1 -1) into 1 5.827 * [backup-simplify]: Simplify (+ 0 1) into 1 5.827 * [backup-simplify]: Simplify (sqrt 1) into 1 5.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.830 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.830 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.831 * [backup-simplify]: Simplify (/ 1 1) into 1 5.831 * [taylor]: Taking taylor expansion of 1/2 in x 5.831 * [backup-simplify]: Simplify 1/2 into 1/2 5.832 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.833 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.834 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.836 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.836 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.838 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 5.839 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 5.841 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.844 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.847 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 5.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.849 * [backup-simplify]: Simplify (+ 0 0) into 0 5.854 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.856 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 5.858 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 5.859 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 5.862 * [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)) 5.862 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 2) 5.862 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 5.862 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 5.862 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.862 * [taylor]: Taking taylor expansion of 1/2 in x 5.863 * [backup-simplify]: Simplify 1/2 into 1/2 5.863 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.863 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.863 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.863 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.863 * [taylor]: Taking taylor expansion of 1 in x 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [taylor]: Taking taylor expansion of 1 in x 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [taylor]: Taking taylor expansion of (* x x) in x 5.863 * [taylor]: Taking taylor expansion of x in x 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [taylor]: Taking taylor expansion of x in x 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [backup-simplify]: Simplify (* 1 1) into 1 5.863 * [backup-simplify]: Simplify (* 0 0) into 0 5.863 * [backup-simplify]: Simplify (+ 1 0) into 1 5.864 * [backup-simplify]: Simplify (sqrt 1) into 1 5.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.864 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.865 * [backup-simplify]: Simplify (+ 0 0) into 0 5.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.865 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.865 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.865 * [taylor]: Taking taylor expansion of 1/2 in x 5.865 * [backup-simplify]: Simplify 1/2 into 1/2 5.865 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.865 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.866 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.866 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.866 * [taylor]: Taking taylor expansion of 1 in x 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [taylor]: Taking taylor expansion of 1 in x 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [taylor]: Taking taylor expansion of (* x x) in x 5.866 * [taylor]: Taking taylor expansion of x in x 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [taylor]: Taking taylor expansion of x in x 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [backup-simplify]: Simplify (* 1 1) into 1 5.866 * [backup-simplify]: Simplify (* 0 0) into 0 5.866 * [backup-simplify]: Simplify (+ 1 0) into 1 5.867 * [backup-simplify]: Simplify (sqrt 1) into 1 5.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.867 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.868 * [backup-simplify]: Simplify (+ 0 0) into 0 5.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.870 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.870 * [backup-simplify]: Simplify 1/2 into 1/2 5.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.870 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.872 * [backup-simplify]: Simplify (+ 0 1) into 1 5.872 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.873 * [backup-simplify]: Simplify -1/4 into -1/4 5.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.875 * [backup-simplify]: Simplify (+ 0 0) into 0 5.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.878 * [backup-simplify]: Simplify (+ 0 0) into 0 5.878 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.880 * [backup-simplify]: Simplify 3/16 into 3/16 5.880 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 5.880 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 5.880 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 5.880 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.880 * [taylor]: Taking taylor expansion of 1/2 in x 5.880 * [backup-simplify]: Simplify 1/2 into 1/2 5.880 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.880 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.880 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.880 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.880 * [taylor]: Taking taylor expansion of 1 in x 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [taylor]: Taking taylor expansion of 1 in x 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.880 * [taylor]: Taking taylor expansion of x in x 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [backup-simplify]: Simplify (/ 1 1) into 1 5.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.880 * [taylor]: Taking taylor expansion of x in x 5.880 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.881 * [backup-simplify]: Simplify (/ 1 1) into 1 5.881 * [backup-simplify]: Simplify (* 1 1) into 1 5.881 * [backup-simplify]: Simplify (+ 0 1) into 1 5.881 * [backup-simplify]: Simplify (sqrt 1) into 1 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.883 * [backup-simplify]: Simplify (+ 0 0) into 0 5.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.884 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.884 * [taylor]: Taking taylor expansion of 1/2 in x 5.884 * [backup-simplify]: Simplify 1/2 into 1/2 5.885 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.885 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.885 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.885 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.885 * [taylor]: Taking taylor expansion of 1 in x 5.885 * [backup-simplify]: Simplify 1 into 1 5.885 * [taylor]: Taking taylor expansion of 1 in x 5.885 * [backup-simplify]: Simplify 1 into 1 5.885 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.885 * [taylor]: Taking taylor expansion of x in x 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 1 into 1 5.885 * [backup-simplify]: Simplify (/ 1 1) into 1 5.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.885 * [taylor]: Taking taylor expansion of x in x 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (/ 1 1) into 1 5.886 * [backup-simplify]: Simplify (* 1 1) into 1 5.887 * [backup-simplify]: Simplify (+ 0 1) into 1 5.887 * [backup-simplify]: Simplify (sqrt 1) into 1 5.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.889 * [backup-simplify]: Simplify (+ 0 0) into 0 5.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.890 * [backup-simplify]: Simplify 1/2 into 1/2 5.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.891 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.895 * [backup-simplify]: Simplify (+ 1 0) into 1 5.896 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.898 * [backup-simplify]: Simplify -1/4 into -1/4 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (+ 0 0) into 0 5.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.904 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.909 * [backup-simplify]: Simplify (+ 0 0) into 0 5.910 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.912 * [backup-simplify]: Simplify 3/16 into 3/16 5.912 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 5.912 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 5.912 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 5.912 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.913 * [taylor]: Taking taylor expansion of 1/2 in x 5.913 * [backup-simplify]: Simplify 1/2 into 1/2 5.913 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.913 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.913 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.913 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.913 * [taylor]: Taking taylor expansion of 1 in x 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [taylor]: Taking taylor expansion of 1 in x 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.913 * [taylor]: Taking taylor expansion of -1 in x 5.913 * [backup-simplify]: Simplify -1 into -1 5.913 * [taylor]: Taking taylor expansion of x in x 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [backup-simplify]: Simplify (/ -1 1) into -1 5.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.914 * [taylor]: Taking taylor expansion of -1 in x 5.914 * [backup-simplify]: Simplify -1 into -1 5.914 * [taylor]: Taking taylor expansion of x in x 5.914 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify 1 into 1 5.914 * [backup-simplify]: Simplify (/ -1 1) into -1 5.914 * [backup-simplify]: Simplify (* -1 -1) into 1 5.915 * [backup-simplify]: Simplify (+ 0 1) into 1 5.915 * [backup-simplify]: Simplify (sqrt 1) into 1 5.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.918 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.918 * [backup-simplify]: Simplify (+ 0 0) into 0 5.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.919 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.919 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.919 * [taylor]: Taking taylor expansion of 1/2 in x 5.919 * [backup-simplify]: Simplify 1/2 into 1/2 5.919 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.919 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.919 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.919 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.919 * [taylor]: Taking taylor expansion of 1 in x 5.919 * [backup-simplify]: Simplify 1 into 1 5.919 * [taylor]: Taking taylor expansion of 1 in x 5.919 * [backup-simplify]: Simplify 1 into 1 5.920 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.920 * [taylor]: Taking taylor expansion of -1 in x 5.920 * [backup-simplify]: Simplify -1 into -1 5.920 * [taylor]: Taking taylor expansion of x in x 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [backup-simplify]: Simplify (/ -1 1) into -1 5.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.920 * [taylor]: Taking taylor expansion of -1 in x 5.920 * [backup-simplify]: Simplify -1 into -1 5.920 * [taylor]: Taking taylor expansion of x in x 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.921 * [backup-simplify]: Simplify (/ -1 1) into -1 5.921 * [backup-simplify]: Simplify (* -1 -1) into 1 5.922 * [backup-simplify]: Simplify (+ 0 1) into 1 5.922 * [backup-simplify]: Simplify (sqrt 1) into 1 5.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.924 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.925 * [backup-simplify]: Simplify (+ 0 0) into 0 5.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.926 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.926 * [backup-simplify]: Simplify 1/2 into 1/2 5.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify (* 1 1) into 1 5.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.931 * [backup-simplify]: Simplify (+ 1 0) into 1 5.932 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.933 * [backup-simplify]: Simplify -1/4 into -1/4 5.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.937 * [backup-simplify]: Simplify (+ 0 0) into 0 5.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.944 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.945 * [backup-simplify]: Simplify (+ 0 0) into 0 5.946 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.948 * [backup-simplify]: Simplify 3/16 into 3/16 5.948 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 5.949 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2 2) 5.949 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 5.949 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 5.949 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.949 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.949 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.949 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.949 * [taylor]: Taking taylor expansion of 1 in x 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [taylor]: Taking taylor expansion of 1 in x 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [taylor]: Taking taylor expansion of (* x x) in x 5.949 * [taylor]: Taking taylor expansion of x in x 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [taylor]: Taking taylor expansion of x in x 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.950 * [backup-simplify]: Simplify (* 1 1) into 1 5.950 * [backup-simplify]: Simplify (* 0 0) into 0 5.950 * [backup-simplify]: Simplify (+ 1 0) into 1 5.951 * [backup-simplify]: Simplify (sqrt 1) into 1 5.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.952 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.952 * [backup-simplify]: Simplify (+ 0 0) into 0 5.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.953 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.953 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.953 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.953 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.953 * [taylor]: Taking taylor expansion of 1 in x 5.953 * [backup-simplify]: Simplify 1 into 1 5.953 * [taylor]: Taking taylor expansion of 1 in x 5.953 * [backup-simplify]: Simplify 1 into 1 5.953 * [taylor]: Taking taylor expansion of (* x x) in x 5.953 * [taylor]: Taking taylor expansion of x in x 5.953 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 1 into 1 5.954 * [taylor]: Taking taylor expansion of x in x 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 1 into 1 5.954 * [backup-simplify]: Simplify (* 1 1) into 1 5.954 * [backup-simplify]: Simplify (* 0 0) into 0 5.955 * [backup-simplify]: Simplify (+ 1 0) into 1 5.955 * [backup-simplify]: Simplify (sqrt 1) into 1 5.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.956 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.957 * [backup-simplify]: Simplify (+ 0 0) into 0 5.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.957 * [backup-simplify]: Simplify 1 into 1 5.958 * [backup-simplify]: Simplify 0 into 0 5.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.960 * [backup-simplify]: Simplify (+ 0 1) into 1 5.961 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.961 * [backup-simplify]: Simplify 1/2 into 1/2 5.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.963 * [backup-simplify]: Simplify (+ 0 0) into 0 5.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.964 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.967 * [backup-simplify]: Simplify (+ 0 0) into 0 5.969 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.969 * [backup-simplify]: Simplify -1/8 into -1/8 5.969 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 5.969 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 5.970 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 5.970 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.970 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.970 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.970 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.970 * [taylor]: Taking taylor expansion of 1 in x 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [taylor]: Taking taylor expansion of 1 in x 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.970 * [taylor]: Taking taylor expansion of x in x 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (/ 1 1) into 1 5.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.970 * [taylor]: Taking taylor expansion of x in x 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 1 into 1 5.971 * [backup-simplify]: Simplify (/ 1 1) into 1 5.971 * [backup-simplify]: Simplify (* 1 1) into 1 5.972 * [backup-simplify]: Simplify (+ 0 1) into 1 5.972 * [backup-simplify]: Simplify (sqrt 1) into 1 5.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.975 * [backup-simplify]: Simplify (+ 0 0) into 0 5.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.976 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.976 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.976 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.976 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.976 * [taylor]: Taking taylor expansion of 1 in x 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [taylor]: Taking taylor expansion of 1 in x 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.976 * [taylor]: Taking taylor expansion of x in x 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (/ 1 1) into 1 5.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.976 * [taylor]: Taking taylor expansion of x in x 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (/ 1 1) into 1 5.977 * [backup-simplify]: Simplify (* 1 1) into 1 5.978 * [backup-simplify]: Simplify (+ 0 1) into 1 5.978 * [backup-simplify]: Simplify (sqrt 1) into 1 5.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.980 * [backup-simplify]: Simplify (+ 0 0) into 0 5.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.981 * [backup-simplify]: Simplify 1 into 1 5.981 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify (* 1 1) into 1 5.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.985 * [backup-simplify]: Simplify (+ 1 0) into 1 5.986 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.986 * [backup-simplify]: Simplify 1/2 into 1/2 5.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (+ 0 0) into 0 5.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.992 * [backup-simplify]: Simplify (+ 0 0) into 0 5.992 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.992 * [backup-simplify]: Simplify -1/8 into -1/8 5.992 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 5.993 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 5.993 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 5.993 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.993 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.993 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.993 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.993 * [taylor]: Taking taylor expansion of 1 in x 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [taylor]: Taking taylor expansion of 1 in x 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.993 * [taylor]: Taking taylor expansion of -1 in x 5.993 * [backup-simplify]: Simplify -1 into -1 5.993 * [taylor]: Taking taylor expansion of x in x 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [backup-simplify]: Simplify (/ -1 1) into -1 5.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.993 * [taylor]: Taking taylor expansion of -1 in x 5.993 * [backup-simplify]: Simplify -1 into -1 5.993 * [taylor]: Taking taylor expansion of x in x 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [backup-simplify]: Simplify (/ -1 1) into -1 5.994 * [backup-simplify]: Simplify (* -1 -1) into 1 5.994 * [backup-simplify]: Simplify (+ 0 1) into 1 5.994 * [backup-simplify]: Simplify (sqrt 1) into 1 5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.996 * [backup-simplify]: Simplify (+ 0 0) into 0 5.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.996 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.996 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.996 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.996 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.996 * [taylor]: Taking taylor expansion of 1 in x 5.996 * [backup-simplify]: Simplify 1 into 1 5.996 * [taylor]: Taking taylor expansion of 1 in x 5.996 * [backup-simplify]: Simplify 1 into 1 5.996 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.996 * [taylor]: Taking taylor expansion of -1 in x 5.996 * [backup-simplify]: Simplify -1 into -1 5.996 * [taylor]: Taking taylor expansion of x in x 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (/ -1 1) into -1 5.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.997 * [taylor]: Taking taylor expansion of -1 in x 5.997 * [backup-simplify]: Simplify -1 into -1 5.997 * [taylor]: Taking taylor expansion of x in x 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (/ -1 1) into -1 5.999 * [backup-simplify]: Simplify (* -1 -1) into 1 5.999 * [backup-simplify]: Simplify (+ 0 1) into 1 5.999 * [backup-simplify]: Simplify (sqrt 1) into 1 6.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.001 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.001 * [backup-simplify]: Simplify (+ 0 0) into 0 6.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.001 * [backup-simplify]: Simplify 1 into 1 6.001 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify (* 1 1) into 1 6.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.004 * [backup-simplify]: Simplify (+ 1 0) into 1 6.004 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.004 * [backup-simplify]: Simplify 1/2 into 1/2 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.007 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.007 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.010 * [backup-simplify]: Simplify (+ 0 0) into 0 6.011 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.011 * [backup-simplify]: Simplify -1/8 into -1/8 6.011 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 6.011 * * * [progress]: simplifying candidates 6.011 * * * * [progress]: [ 1 / 126 ] simplifiying candidate # 6.011 * * * * [progress]: [ 2 / 126 ] simplifiying candidate # 6.011 * * * * [progress]: [ 3 / 126 ] simplifiying candidate # 6.011 * * * * [progress]: [ 4 / 126 ] simplifiying candidate # 6.011 * * * * [progress]: [ 5 / 126 ] simplifiying candidate # 6.011 * * * * [progress]: [ 6 / 126 ] simplifiying candidate # 6.011 * * * * [progress]: [ 7 / 126 ] simplifiying candidate # 6.011 * * * * [progress]: [ 8 / 126 ] simplifiying candidate # 6.011 * * * * [progress]: [ 9 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 10 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 11 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 12 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 13 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 14 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 15 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 16 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 17 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 18 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 19 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 20 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 21 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 22 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 23 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 24 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 25 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 26 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 27 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 28 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 29 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 30 / 126 ] simplifiying candidate # 6.012 * * * * [progress]: [ 31 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 32 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 33 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 34 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 35 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 36 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 37 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 38 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 39 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 40 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 41 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 42 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 43 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 44 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 45 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 46 / 126 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))> 6.013 * * * * [progress]: [ 47 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 48 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 49 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 50 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 51 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 52 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 53 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 54 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 55 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 56 / 126 ] simplifiying candidate # 6.013 * * * * [progress]: [ 57 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 58 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 59 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 60 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 61 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 62 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 63 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 64 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 65 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 66 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 67 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 68 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 69 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 70 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 71 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 72 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 73 / 126 ] simplifiying candidate #real (real->posit16 (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))))> 6.014 * * * * [progress]: [ 74 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 75 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 76 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 77 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 78 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 79 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 80 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 81 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 82 / 126 ] simplifiying candidate # 6.014 * * * * [progress]: [ 83 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 84 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 85 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 86 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 87 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 88 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 89 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 90 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 91 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 92 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 93 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 94 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 95 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 96 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 97 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 98 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 99 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 100 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 101 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 102 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 103 / 126 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))))> 6.015 * * * * [progress]: [ 104 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 105 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 106 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 107 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 108 / 126 ] simplifiying candidate # 6.015 * * * * [progress]: [ 109 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 110 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 111 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 112 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 113 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 114 / 126 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))))))))> 6.016 * * * * [progress]: [ 115 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 116 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 117 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 118 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 119 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 120 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 121 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 122 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 123 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 124 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 125 / 126 ] simplifiying candidate # 6.016 * * * * [progress]: [ 126 / 126 ] simplifiying candidate # 6.018 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma 1 1 (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma 1 1 (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma 1 1 (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma 1 1 (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (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) (exp (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)))))) (- (pow 1 3) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 3)) (+ (* 1 1) (+ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* 1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt 1) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (log1p (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (exp 1) (exp (* (cbrt (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (exp (sqrt (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (exp 1) (exp (log (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (exp (log (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (exp (log (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (exp (log (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (exp (log 1)) (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (exp 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3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 6.021 * * [simplify]: iteration 0: 233 enodes 6.177 * * [simplify]: iteration 1: 480 enodes 6.437 * * [simplify]: iteration 2: 1144 enodes 6.859 * * [simplify]: iteration 3: 2001 enodes 7.243 * * [simplify]: iteration complete: 2001 enodes 7.243 * * [simplify]: Extracting #0: cost 76 inf + 0 7.245 * * [simplify]: Extracting #1: cost 275 inf + 45 7.253 * * [simplify]: Extracting #2: cost 484 inf + 1499 7.264 * * [simplify]: Extracting #3: cost 303 inf + 27999 7.283 * * [simplify]: Extracting #4: cost 151 inf + 57782 7.300 * * [simplify]: Extracting #5: cost 84 inf + 81174 7.320 * * [simplify]: Extracting #6: cost 32 inf + 97228 7.348 * * [simplify]: Extracting #7: cost 3 inf + 104426 7.386 * * [simplify]: Extracting #8: cost 0 inf + 105305 7.423 * [simplify]: Simplified to: (- 1 (sqrt (+ (/ 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(* x x)) (* 1/2 (sqrt 1/2))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))) (+ (+ (/ 1/4 (* x (sqrt 1/2))) (- 1 (sqrt 1/2))) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))) (fma 1/8 (* x x) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (+ 1 (- (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))) (+ (+ (/ 1/4 (* x (sqrt 1/2))) (- 1 (sqrt 1/2))) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))) (fma (* x x) -1/4 (fma (* (* x x) (* x x)) 3/16 1/2)) (+ (- (/ 1/2 x) (/ 1/4 (* (* x x) x))) (/ 3/16 (pow x 5))) (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma 1/2 (* x x) (+ 1 (* -1/8 (* (* x x) (* x x))))) (- (+ x (/ 1/2 x)) (/ 1/8 (* (* x x) x))) (- (/ 1/8 (* (* x x) x)) (+ x (/ 1/2 x))) 7.441 * * * [progress]: adding candidates to table 8.036 * * [progress]: iteration 4 / 4 8.036 * * * [progress]: picking best candidate 8.048 * * * * [pick]: Picked # 8.048 * * * [progress]: localizing error 8.089 * * * [progress]: generating rewritten candidates 8.089 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3) 8.090 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3 3) 8.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 1 2) 8.233 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 1 1) 8.268 * * * [progress]: generating series expansions 8.268 * * * * [progress]: [ 1 / 4 ] generating series at (2 3) 8.268 * [backup-simplify]: Simplify (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128)) into (fma (pow x 6) 69/1024 (* -11/128 (pow x 4))) 8.268 * [approximate]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* -11/128 (pow x 4))) in (x) around 0 8.268 * [taylor]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* -11/128 (pow x 4))) in x 8.268 * [taylor]: Rewrote expression to (+ (* (pow x 6) 69/1024) (* -11/128 (pow x 4))) 8.268 * [taylor]: Taking taylor expansion of (* (pow x 6) 69/1024) in x 8.269 * [taylor]: Taking taylor expansion of (pow x 6) in x 8.269 * [taylor]: Taking taylor expansion of x in x 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [taylor]: Taking taylor expansion of 69/1024 in x 8.269 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.269 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 8.269 * [taylor]: Taking taylor expansion of -11/128 in x 8.269 * [backup-simplify]: Simplify -11/128 into -11/128 8.269 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.269 * [taylor]: Taking taylor expansion of x in x 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [taylor]: Taking taylor expansion of (fma (pow x 6) 69/1024 (* -11/128 (pow x 4))) in x 8.269 * [taylor]: Rewrote expression to (+ (* (pow x 6) 69/1024) (* -11/128 (pow x 4))) 8.269 * [taylor]: Taking taylor expansion of (* (pow x 6) 69/1024) in x 8.269 * [taylor]: Taking taylor expansion of (pow x 6) in x 8.269 * [taylor]: Taking taylor expansion of x in x 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [taylor]: Taking taylor expansion of 69/1024 in x 8.269 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.269 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 8.269 * [taylor]: Taking taylor expansion of -11/128 in x 8.269 * [backup-simplify]: Simplify -11/128 into -11/128 8.269 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.269 * [taylor]: Taking taylor expansion of x in x 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.270 * [backup-simplify]: Simplify (* 1 1) into 1 8.271 * [backup-simplify]: Simplify (* 1 1) into 1 8.271 * [backup-simplify]: Simplify (* -11/128 1) into -11/128 8.272 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 8.272 * [backup-simplify]: Simplify -11/128 into -11/128 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.274 * [backup-simplify]: Simplify (+ (* -11/128 0) (* 0 1)) into 0 8.274 * [backup-simplify]: Simplify (+ 0 0) into 0 8.274 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify (* 1 1) into 1 8.275 * [backup-simplify]: Simplify (* 1 1) into 1 8.275 * [backup-simplify]: Simplify (* 1 1) into 1 8.276 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 8.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.279 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (* 0 1))) into 0 8.280 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 8.280 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 69/1024)) into 0 8.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.286 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.287 * [backup-simplify]: Simplify (+ 0 0) into 0 8.287 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 69/1024))) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.294 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.295 * [backup-simplify]: Simplify (+ 0 0) into 0 8.295 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))) into 0 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.301 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))) into 0 8.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.307 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.307 * [backup-simplify]: Simplify (+ 0 0) into 0 8.307 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))))) into 0 8.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.314 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.314 * [backup-simplify]: Simplify (+ 0 0) into 0 8.314 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))))) into 0 8.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.321 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.321 * [backup-simplify]: Simplify (+ 0 0) into 0 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify (+ (* 69/1024 (pow x 6)) (* -11/128 (pow x 4))) into (- (* 69/1024 (pow x 6)) (* 11/128 (pow x 4))) 8.322 * [backup-simplify]: Simplify (fma (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) 69/1024 (* (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) -11/128)) into (fma (/ 1 (pow x 6)) 69/1024 (/ -11/128 (pow x 4))) 8.322 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ -11/128 (pow x 4))) in (x) around 0 8.322 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ -11/128 (pow x 4))) in x 8.322 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ -11/128 (pow x 4))) 8.322 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 8.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 8.322 * [taylor]: Taking taylor expansion of (pow x 6) in x 8.322 * [taylor]: Taking taylor expansion of x in x 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 1 into 1 8.322 * [backup-simplify]: Simplify (* 1 1) into 1 8.322 * [backup-simplify]: Simplify (* 1 1) into 1 8.323 * [backup-simplify]: Simplify (* 1 1) into 1 8.323 * [backup-simplify]: Simplify (/ 1 1) into 1 8.323 * [taylor]: Taking taylor expansion of 69/1024 in x 8.323 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.323 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 8.323 * [taylor]: Taking taylor expansion of -11/128 in x 8.323 * [backup-simplify]: Simplify -11/128 into -11/128 8.323 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.323 * [taylor]: Taking taylor expansion of x in x 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 1 into 1 8.323 * [backup-simplify]: Simplify (* 1 1) into 1 8.323 * [backup-simplify]: Simplify (* 1 1) into 1 8.324 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 8.324 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ -11/128 (pow x 4))) in x 8.324 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ -11/128 (pow x 4))) 8.324 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 8.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 8.324 * [taylor]: Taking taylor expansion of (pow x 6) in x 8.324 * [taylor]: Taking taylor expansion of x in x 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 1 into 1 8.324 * [backup-simplify]: Simplify (* 1 1) into 1 8.324 * [backup-simplify]: Simplify (* 1 1) into 1 8.325 * [backup-simplify]: Simplify (* 1 1) into 1 8.325 * [backup-simplify]: Simplify (/ 1 1) into 1 8.325 * [taylor]: Taking taylor expansion of 69/1024 in x 8.325 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.325 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 8.325 * [taylor]: Taking taylor expansion of -11/128 in x 8.325 * [backup-simplify]: Simplify -11/128 into -11/128 8.325 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.325 * [taylor]: Taking taylor expansion of x in x 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 1 into 1 8.325 * [backup-simplify]: Simplify (* 1 1) into 1 8.326 * [backup-simplify]: Simplify (* 1 1) into 1 8.326 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 8.326 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 8.327 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 8.327 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 69/1024)) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.331 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 69/1024))) into 0 8.336 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 8.337 * [backup-simplify]: Simplify -11/128 into -11/128 8.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))) into 0 8.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 8.345 * [backup-simplify]: Simplify (+ 0 0) into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))) into 0 8.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.354 * [backup-simplify]: Simplify (+ 0 0) into 0 8.354 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (+ 0 0) into 0 8.372 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ 0 0) into 0 8.383 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))))))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))))))) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.410 * [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 8.410 * [backup-simplify]: Simplify (+ 0 0) into 0 8.410 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify (+ (* -11/128 (pow (/ 1 (/ 1 x)) 4)) (* 69/1024 (pow (/ 1 (/ 1 x)) 6))) into (- (* 69/1024 (pow x 6)) (* 11/128 (pow x 4))) 8.411 * [backup-simplify]: Simplify (fma (* (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x)))) 69/1024 (* (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) -11/128)) into (fma (/ 1 (pow x 6)) 69/1024 (/ -11/128 (pow x 4))) 8.411 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ -11/128 (pow x 4))) in (x) around 0 8.411 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ -11/128 (pow x 4))) in x 8.411 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ -11/128 (pow x 4))) 8.411 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 8.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 8.412 * [taylor]: Taking taylor expansion of (pow x 6) in x 8.412 * [taylor]: Taking taylor expansion of x in x 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 1 into 1 8.412 * [backup-simplify]: Simplify (* 1 1) into 1 8.412 * [backup-simplify]: Simplify (* 1 1) into 1 8.413 * [backup-simplify]: Simplify (* 1 1) into 1 8.413 * [backup-simplify]: Simplify (/ 1 1) into 1 8.413 * [taylor]: Taking taylor expansion of 69/1024 in x 8.413 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.413 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 8.413 * [taylor]: Taking taylor expansion of -11/128 in x 8.413 * [backup-simplify]: Simplify -11/128 into -11/128 8.413 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.413 * [taylor]: Taking taylor expansion of x in x 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (* 1 1) into 1 8.414 * [backup-simplify]: Simplify (* 1 1) into 1 8.415 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 8.415 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow x 6)) 69/1024 (/ -11/128 (pow x 4))) in x 8.415 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow x 6)) 69/1024) (/ -11/128 (pow x 4))) 8.415 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 6)) 69/1024) in x 8.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 8.415 * [taylor]: Taking taylor expansion of (pow x 6) in x 8.415 * [taylor]: Taking taylor expansion of x in x 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (* 1 1) into 1 8.416 * [backup-simplify]: Simplify (* 1 1) into 1 8.416 * [backup-simplify]: Simplify (* 1 1) into 1 8.416 * [backup-simplify]: Simplify (/ 1 1) into 1 8.416 * [taylor]: Taking taylor expansion of 69/1024 in x 8.416 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.416 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 8.416 * [taylor]: Taking taylor expansion of -11/128 in x 8.416 * [backup-simplify]: Simplify -11/128 into -11/128 8.416 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.417 * [taylor]: Taking taylor expansion of x in x 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [backup-simplify]: Simplify (* 1 1) into 1 8.417 * [backup-simplify]: Simplify (* 1 1) into 1 8.418 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 8.418 * [backup-simplify]: Simplify (* 1 69/1024) into 69/1024 8.419 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 8.419 * [backup-simplify]: Simplify 69/1024 into 69/1024 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 69/1024)) into 0 8.423 * [backup-simplify]: Simplify (+ 0 0) into 0 8.423 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 69/1024))) into 0 8.428 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 8.428 * [backup-simplify]: Simplify -11/128 into -11/128 8.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))) into 0 8.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 8.436 * [backup-simplify]: Simplify (+ 0 0) into 0 8.436 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))) into 0 8.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (+ 0 0) into 0 8.445 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))))) into 0 8.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.455 * [backup-simplify]: Simplify (+ 0 0) into 0 8.455 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))))) into 0 8.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.467 * [backup-simplify]: Simplify (+ 0 0) into 0 8.467 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 8.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024)))))))) into 0 8.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.480 * [backup-simplify]: Simplify (+ 0 0) into 0 8.480 * [backup-simplify]: Simplify 0 into 0 8.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 69/1024))))))))) into 0 8.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.494 * [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 8.494 * [backup-simplify]: Simplify (+ 0 0) into 0 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify (+ (* -11/128 (pow (/ 1 (/ 1 (- x))) 4)) (* 69/1024 (pow (/ 1 (/ 1 (- x))) 6))) into (- (* 69/1024 (pow x 6)) (* 11/128 (pow x 4))) 8.494 * * * * [progress]: [ 2 / 4 ] generating series at (2 3 3) 8.495 * [backup-simplify]: Simplify (* (* (* x x) (* x x)) -11/128) into (* -11/128 (pow x 4)) 8.495 * [approximate]: Taking taylor expansion of (* -11/128 (pow x 4)) in (x) around 0 8.495 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 8.495 * [taylor]: Taking taylor expansion of -11/128 in x 8.495 * [backup-simplify]: Simplify -11/128 into -11/128 8.495 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.495 * [taylor]: Taking taylor expansion of x in x 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 8.495 * [taylor]: Taking taylor expansion of -11/128 in x 8.495 * [backup-simplify]: Simplify -11/128 into -11/128 8.495 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.495 * [taylor]: Taking taylor expansion of x in x 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.496 * [backup-simplify]: Simplify (* 1 1) into 1 8.496 * [backup-simplify]: Simplify (* 1 1) into 1 8.496 * [backup-simplify]: Simplify (* -11/128 1) into -11/128 8.496 * [backup-simplify]: Simplify -11/128 into -11/128 8.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.498 * [backup-simplify]: Simplify (+ (* -11/128 0) (* 0 1)) into 0 8.498 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.501 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (* 0 1))) into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.505 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.515 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.515 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.521 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.521 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.526 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify (* -11/128 (pow x 4)) into (* -11/128 (pow x 4)) 8.526 * [backup-simplify]: Simplify (* (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) -11/128) into (/ -11/128 (pow x 4)) 8.526 * [approximate]: Taking taylor expansion of (/ -11/128 (pow x 4)) in (x) around 0 8.526 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 8.526 * [taylor]: Taking taylor expansion of -11/128 in x 8.526 * [backup-simplify]: Simplify -11/128 into -11/128 8.526 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.526 * [taylor]: Taking taylor expansion of x in x 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 1 into 1 8.527 * [backup-simplify]: Simplify (* 1 1) into 1 8.527 * [backup-simplify]: Simplify (* 1 1) into 1 8.528 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 8.528 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 8.528 * [taylor]: Taking taylor expansion of -11/128 in x 8.528 * [backup-simplify]: Simplify -11/128 into -11/128 8.528 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.528 * [taylor]: Taking taylor expansion of x in x 8.528 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify 1 into 1 8.528 * [backup-simplify]: Simplify (* 1 1) into 1 8.529 * [backup-simplify]: Simplify (* 1 1) into 1 8.529 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 8.529 * [backup-simplify]: Simplify -11/128 into -11/128 8.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.534 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.537 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.548 * [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 8.548 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify (* -11/128 (pow (/ 1 (/ 1 x)) 4)) into (* -11/128 (pow x 4)) 8.549 * [backup-simplify]: Simplify (* (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) -11/128) into (/ -11/128 (pow x 4)) 8.549 * [approximate]: Taking taylor expansion of (/ -11/128 (pow x 4)) in (x) around 0 8.549 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 8.549 * [taylor]: Taking taylor expansion of -11/128 in x 8.549 * [backup-simplify]: Simplify -11/128 into -11/128 8.549 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.549 * [taylor]: Taking taylor expansion of x in x 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify 1 into 1 8.549 * [backup-simplify]: Simplify (* 1 1) into 1 8.550 * [backup-simplify]: Simplify (* 1 1) into 1 8.550 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 8.550 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 8.550 * [taylor]: Taking taylor expansion of -11/128 in x 8.550 * [backup-simplify]: Simplify -11/128 into -11/128 8.550 * [taylor]: Taking taylor expansion of (pow x 4) in x 8.550 * [taylor]: Taking taylor expansion of x in x 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.551 * [backup-simplify]: Simplify (* 1 1) into 1 8.551 * [backup-simplify]: Simplify (* 1 1) into 1 8.552 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 8.552 * [backup-simplify]: Simplify -11/128 into -11/128 8.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.564 * [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 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify (* -11/128 (pow (/ 1 (/ 1 (- x))) 4)) into (* -11/128 (pow x 4)) 8.564 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 1 2) 8.564 * [backup-simplify]: Simplify (* (* x x) x) into (pow x 3) 8.564 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 8.564 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.564 * [taylor]: Taking taylor expansion of x in x 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 1 into 1 8.564 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.564 * [taylor]: Taking taylor expansion of x in x 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 1 into 1 8.565 * [backup-simplify]: Simplify (* 1 1) into 1 8.565 * [backup-simplify]: Simplify (* 1 1) into 1 8.565 * [backup-simplify]: Simplify 1 into 1 8.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.571 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 8.573 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (/ 1 (pow x 3)) 8.573 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 8.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.573 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.573 * [taylor]: Taking taylor expansion of x in x 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (* 1 1) into 1 8.574 * [backup-simplify]: Simplify (* 1 1) into 1 8.574 * [backup-simplify]: Simplify (/ 1 1) into 1 8.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.574 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.574 * [taylor]: Taking taylor expansion of x in x 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (* 1 1) into 1 8.574 * [backup-simplify]: Simplify (* 1 1) into 1 8.575 * [backup-simplify]: Simplify (/ 1 1) into 1 8.575 * [backup-simplify]: Simplify 1 into 1 8.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.577 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.579 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.581 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.584 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 8.589 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (/ -1 (pow x 3)) 8.589 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 8.589 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 8.589 * [taylor]: Taking taylor expansion of -1 in x 8.589 * [backup-simplify]: Simplify -1 into -1 8.589 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.589 * [taylor]: Taking taylor expansion of x in x 8.589 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify 1 into 1 8.589 * [backup-simplify]: Simplify (* 1 1) into 1 8.590 * [backup-simplify]: Simplify (* 1 1) into 1 8.590 * [backup-simplify]: Simplify (/ -1 1) into -1 8.590 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 8.590 * [taylor]: Taking taylor expansion of -1 in x 8.590 * [backup-simplify]: Simplify -1 into -1 8.590 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.590 * [taylor]: Taking taylor expansion of x in x 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (* 1 1) into 1 8.591 * [backup-simplify]: Simplify (* 1 1) into 1 8.592 * [backup-simplify]: Simplify (/ -1 1) into -1 8.592 * [backup-simplify]: Simplify -1 into -1 8.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.597 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.604 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.608 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 8.613 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 1 1) 8.613 * [backup-simplify]: Simplify (* (* x x) x) into (pow x 3) 8.613 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 8.613 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.613 * [taylor]: Taking taylor expansion of x in x 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.613 * [taylor]: Taking taylor expansion of x in x 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.614 * [backup-simplify]: Simplify (* 1 1) into 1 8.614 * [backup-simplify]: Simplify (* 1 1) into 1 8.614 * [backup-simplify]: Simplify 1 into 1 8.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.616 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.623 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 8.629 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) into (/ 1 (pow x 3)) 8.629 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 8.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.629 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.629 * [taylor]: Taking taylor expansion of x in x 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (* 1 1) into 1 8.630 * [backup-simplify]: Simplify (* 1 1) into 1 8.630 * [backup-simplify]: Simplify (/ 1 1) into 1 8.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.631 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.631 * [taylor]: Taking taylor expansion of x in x 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (* 1 1) into 1 8.631 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (/ 1 1) into 1 8.632 * [backup-simplify]: Simplify 1 into 1 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.637 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.647 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.650 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.655 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 8.661 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- x))) into (/ -1 (pow x 3)) 8.661 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 8.661 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 8.661 * [taylor]: Taking taylor expansion of -1 in x 8.661 * [backup-simplify]: Simplify -1 into -1 8.661 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.661 * [taylor]: Taking taylor expansion of x in x 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify 1 into 1 8.662 * [backup-simplify]: Simplify (* 1 1) into 1 8.662 * [backup-simplify]: Simplify (* 1 1) into 1 8.663 * [backup-simplify]: Simplify (/ -1 1) into -1 8.663 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 8.663 * [taylor]: Taking taylor expansion of -1 in x 8.663 * [backup-simplify]: Simplify -1 into -1 8.663 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.663 * [taylor]: Taking taylor expansion of x in x 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.663 * [backup-simplify]: Simplify (* 1 1) into 1 8.664 * [backup-simplify]: Simplify (* 1 1) into 1 8.664 * [backup-simplify]: Simplify (/ -1 1) into -1 8.664 * [backup-simplify]: Simplify -1 into -1 8.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.675 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.679 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 8.683 * * * [progress]: simplifying candidates 8.683 * * * * [progress]: [ 1 / 116 ] simplifiying candidate # 8.683 * * * * [progress]: [ 2 / 116 ] simplifiying candidate # 8.683 * * * * [progress]: [ 3 / 116 ] simplifiying candidate # 8.683 * * * * [progress]: [ 4 / 116 ] simplifiying candidate # 8.683 * * * * [progress]: [ 5 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 6 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 7 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 8 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 9 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 10 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 11 / 116 ] simplifiying candidate #real (real->posit16 (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))))))> 8.684 * * * * [progress]: [ 12 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 13 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 14 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 15 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 16 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 17 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 18 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 19 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 20 / 116 ] simplifiying candidate # 8.684 * * * * [progress]: [ 21 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 22 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 23 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 24 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 25 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 26 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 27 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 28 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 29 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 30 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 31 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 32 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 33 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 34 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 35 / 116 ] simplifiying candidate # 8.685 * * * * [progress]: [ 36 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 37 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 38 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 39 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 40 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 41 / 116 ] simplifiying candidate #real (real->posit16 (* (* (* x x) (* x x)) -11/128))))))> 8.686 * * * * [progress]: [ 42 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 43 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 44 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 45 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 46 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 47 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 48 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 49 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 50 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 51 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 52 / 116 ] simplifiying candidate # 8.686 * * * * [progress]: [ 53 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 54 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 55 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 56 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 57 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 58 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 59 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 60 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 61 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 62 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 63 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 64 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 65 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 66 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 67 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 68 / 116 ] simplifiying candidate # 8.687 * * * * [progress]: [ 69 / 116 ] simplifiying candidate # 8.688 * * * * [progress]: [ 70 / 116 ] simplifiying candidate # 8.688 * * * * [progress]: [ 71 / 116 ] simplifiying candidate # 8.688 * * * * [progress]: [ 72 / 116 ] simplifiying candidate #real (real->posit16 (* (* x x) x)))) 69/1024 (* (* (* x x) (* x x)) -11/128))))> 8.688 * * * * [progress]: [ 73 / 116 ] simplifiying candidate # 8.688 * * * * [progress]: [ 74 / 116 ] simplifiying candidate # 8.688 * * * * [progress]: [ 75 / 116 ] simplifiying candidate # 8.688 * * * * [progress]: [ 76 / 116 ] simplifiying candidate # 8.688 * * * * [progress]: [ 77 / 116 ] simplifiying candidate # 8.688 * * * * [progress]: [ 78 / 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* * [progress]: [ 94 / 116 ] simplifiying candidate # 8.689 * * * * [progress]: [ 95 / 116 ] simplifiying candidate # 8.689 * * * * [progress]: [ 96 / 116 ] simplifiying candidate # 8.689 * * * * [progress]: [ 97 / 116 ] simplifiying candidate # 8.690 * * * * [progress]: [ 98 / 116 ] simplifiying candidate # 8.690 * * * * [progress]: [ 99 / 116 ] simplifiying candidate # 8.690 * * * * [progress]: [ 100 / 116 ] simplifiying candidate # 8.690 * * * * [progress]: [ 101 / 116 ] simplifiying candidate # 8.690 * * * * [progress]: [ 102 / 116 ] simplifiying candidate # 8.690 * * * * [progress]: [ 103 / 116 ] simplifiying candidate #real (real->posit16 (* (* x x) x))) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))))> 8.691 * * * * [progress]: [ 104 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 105 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 106 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 107 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 108 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 109 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 110 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 111 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 112 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 113 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 114 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 115 / 116 ] simplifiying candidate # 8.691 * * * * [progress]: [ 116 / 116 ] simplifiying candidate # 8.693 * [simplify]: Simplifying: (expm1 (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (log1p (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (* (* (* (* x x) x) (* (* x x) x)) 69/1024) (log (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (exp (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (* (cbrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (cbrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128)))) (cbrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (* (* (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128)) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (sqrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (sqrt (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (real->posit16 (fma (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (expm1 (* (* (* x x) (* x x)) -11/128)) (log1p (* (* (* x x) (* x x)) -11/128)) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (+ (+ (+ (log x) (log x)) (+ (log x) (log x))) (log -11/128)) (+ (+ (+ (log x) (log x)) (log (* x x))) (log -11/128)) (+ (+ (log (* x x)) (+ (log x) (log x))) (log -11/128)) (+ (+ (log (* x x)) (log (* x x))) (log -11/128)) (+ (log (* (* x x) (* x x))) (log -11/128)) (log (* (* (* x x) (* x x)) -11/128)) (exp (* (* (* x x) (* x x)) -11/128)) (* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* -11/128 -11/128) -11/128)) (* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* -11/128 -11/128) -11/128)) (* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* -11/128 -11/128) -11/128)) (* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* -11/128 -11/128) -11/128)) (* (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))) (* (* -11/128 -11/128) -11/128)) (* (cbrt (* (* (* x x) (* x x)) -11/128)) (cbrt (* (* (* x x) (* x x)) -11/128))) (cbrt (* (* (* x x) (* x x)) -11/128)) (* (* (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128)) (* (* (* x x) (* x x)) -11/128)) (sqrt (* (* (* x x) (* x x)) -11/128)) (sqrt (* (* (* x x) (* x x)) -11/128)) (* (* x x) (sqrt -11/128)) (* (* x x) (sqrt -11/128)) (* (* (* x x) (* x x)) (* (cbrt -11/128) (cbrt -11/128))) (* (* (* x x) (* x x)) (sqrt -11/128)) (* (* (* x x) (* x x)) 1) (* (* x x) -11/128) (real->posit16 (* (* (* x x) (* x x)) -11/128)) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* x x) x) (* (* x x) x) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log x) (log x)) (log x)) (+ (log (* x x)) (log x)) (log (* (* x x) x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (cbrt (* (* x x) x)) (cbrt (* (* x x) x))) (cbrt (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x x) (* (cbrt x) (cbrt x))) (* (* x x) (sqrt x)) (* (* x x) 1) (* x x) (real->posit16 (* (* x x) x)) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (* (* x x) x) (* (* x x) x) (+ (+ 1 1) 1) (+ 2 1) (+ (+ 1 1) 1) (+ (* 2 1) 1) (+ (+ (log x) (log x)) (log x)) (+ (log (* x x)) (log x)) (log (* (* x x) x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)) (* (cbrt (* (* x x) x)) (cbrt (* (* x x) x))) (cbrt (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x x) (* (cbrt x) (cbrt x))) (* (* x x) (sqrt x)) (* (* x x) 1) (* x x) (real->posit16 (* (* x x) x)) (- (* 69/1024 (pow x 6)) (* 11/128 (pow x 4))) (- (* 69/1024 (pow x 6)) (* 11/128 (pow x 4))) (- (* 69/1024 (pow x 6)) (* 11/128 (pow x 4))) (* -11/128 (pow x 4)) (* -11/128 (pow x 4)) (* -11/128 (pow x 4)) (pow x 3) (pow x 3) (pow x 3) (pow x 3) (pow x 3) (pow x 3) 8.696 * * [simplify]: iteration 0: 103 enodes 8.756 * * [simplify]: iteration 1: 302 enodes 8.925 * * [simplify]: iteration 2: 833 enodes 9.357 * * [simplify]: iteration 3: 2012 enodes 9.976 * * [simplify]: iteration complete: 2012 enodes 9.976 * * [simplify]: Extracting #0: cost 40 inf + 0 9.978 * * [simplify]: Extracting #1: cost 245 inf + 205 9.984 * * [simplify]: Extracting #2: cost 491 inf + 17474 9.998 * * [simplify]: Extracting #3: cost 154 inf + 77301 10.024 * * [simplify]: Extracting #4: cost 9 inf + 101129 10.052 * * [simplify]: Extracting #5: cost 0 inf + 104183 10.085 * [simplify]: Simplified to: (expm1 (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (log1p (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (* (* (* x x) x) (* 69/1024 (* (* x x) x))) (log (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (exp (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (* (cbrt (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (cbrt (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x)))))) (cbrt (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (* (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x)))) (* (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x)))) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x)))))) (sqrt (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (sqrt (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (real->posit16 (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x))))) (expm1 (* -11/128 (* (* x x) (* x x)))) (log1p (* -11/128 (* (* x x) (* x x)))) (* -11/128 (* (* x x) (* x x))) (* -11/128 (* (* x x) (* x x))) (* -11/128 (* (* x x) (* x x))) (* -11/128 (* (* x x) (* x x))) (* -11/128 (* (* x x) (* x x))) (log (* -11/128 (* (* x x) (* x x)))) (log (* -11/128 (* (* x x) (* x x)))) (log (* -11/128 (* (* x x) (* x x)))) (log (* -11/128 (* (* x x) (* x x)))) (log (* -11/128 (* (* x x) (* x x)))) (log (* -11/128 (* (* x x) (* x x)))) (exp (* -11/128 (* (* x x) (* x x)))) (* -1331/2097152 (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))) (* -1331/2097152 (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))) (* -1331/2097152 (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))) (* -1331/2097152 (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))) (* -1331/2097152 (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))) (* (cbrt (* -11/128 (* (* x x) (* x x)))) (cbrt (* -11/128 (* (* x x) (* x x))))) (cbrt (* -11/128 (* (* x x) (* x x)))) (* -1331/2097152 (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (* -11/128 (* (* x x) (* x x)))) (sqrt (* -11/128 (* (* x x) (* x x)))) (* (* x x) (sqrt -11/128)) (* (* x x) (sqrt -11/128)) (* (* (* x x) (cbrt -11/128)) (* (* x x) (cbrt -11/128))) (* (sqrt -11/128) (* (* x x) (* x x))) (* (* x x) (* x x)) (* -11/128 (* x x)) (real->posit16 (* -11/128 (* (* x x) (* x x)))) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) 3 3 3 3 (* (* x x) x) (* (* x x) x) 3 3 3 3 (* 3 (log x)) (* 3 (log x)) (* 3 (log x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* x x) x (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x (cbrt x)) (* x (cbrt x))) (* (sqrt x) (* x x)) (* x x) (* x x) (real->posit16 (* (* x x) x)) (expm1 (* (* x x) x)) (log1p (* (* x x) x)) 3 3 3 3 (* (* x x) x) (* (* x x) x) 3 3 3 3 (* 3 (log x)) (* 3 (log x)) (* 3 (log x)) (exp (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (* x x) x (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* x (sqrt x)) (* x (sqrt x)) (* (* x (cbrt x)) (* x (cbrt x))) (* (sqrt x) (* x x)) (* x x) (* x x) (real->posit16 (* (* x x) x)) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x)))) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x)))) (fma (* x x) (* (* (* x x) (* x x)) 69/1024) (* -11/128 (* (* x x) (* x x)))) (* -11/128 (* (* x x) (* x x))) (* -11/128 (* (* x x) (* x x))) (* -11/128 (* (* x x) (* x x))) (* (* x x) x) (* (* x x) x) (* (* x x) x) (* (* x x) x) (* (* x x) x) (* (* x x) x) 10.097 * * * [progress]: adding candidates to table 10.496 * [progress]: [Phase 3 of 3] Extracting. 10.496 * * [regime]: Finding splitpoints for: (# # # #) 10.497 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 10.498 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # #) 10.553 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 10.589 * * * * [regimes]: Trying to branch on x from (# # # #) 10.653 * * * [regime]: Found split indices: #