33.735 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.124 * * * [progress]: [2/2] Setting up program. 0.127 * [progress]: [Phase 2 of 3] Improving. 0.127 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.128 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.128 * * [simplify]: iteration 0: 9 enodes 0.131 * * [simplify]: iteration 1: 21 enodes 0.138 * * [simplify]: iteration 2: 43 enodes 0.145 * * [simplify]: iteration 3: 69 enodes 0.156 * * [simplify]: iteration 4: 89 enodes 0.177 * * [simplify]: iteration 5: 111 enodes 0.198 * * [simplify]: iteration 6: 114 enodes 0.209 * * [simplify]: iteration complete: 114 enodes 0.209 * * [simplify]: Extracting #0: cost 1 inf + 0 0.209 * * [simplify]: Extracting #1: cost 4 inf + 0 0.209 * * [simplify]: Extracting #2: cost 4 inf + 1 0.209 * * [simplify]: Extracting #3: cost 8 inf + 1 0.209 * * [simplify]: Extracting #4: cost 9 inf + 2 0.209 * * [simplify]: Extracting #5: cost 10 inf + 2 0.209 * * [simplify]: Extracting #6: cost 9 inf + 3 0.209 * * [simplify]: Extracting #7: cost 6 inf + 255 0.209 * * [simplify]: Extracting #8: cost 1 inf + 1024 0.210 * * [simplify]: Extracting #9: cost 0 inf + 1242 0.210 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.213 * * [progress]: iteration 1 / 4 0.213 * * * [progress]: picking best candidate 0.216 * * * * [pick]: Picked # 0.216 * * * [progress]: localizing error 0.234 * * * [progress]: generating rewritten candidates 0.234 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.273 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.280 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.292 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.310 * * * [progress]: generating series expansions 0.310 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.310 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.310 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.310 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.310 * [taylor]: Taking taylor expansion of 1 in x 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.311 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.311 * [taylor]: Taking taylor expansion of 1/2 in x 0.311 * [backup-simplify]: Simplify 1/2 into 1/2 0.311 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.311 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.311 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.311 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.311 * [taylor]: Taking taylor expansion of 1 in x 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of 1 in x 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of (* x x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (* 0 0) into 0 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.313 * [backup-simplify]: Simplify (sqrt 1) into 1 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of 1/2 in x 0.315 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.316 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.316 * [backup-simplify]: Simplify (sqrt 1) into 1 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.317 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.317 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.317 * [taylor]: Taking taylor expansion of 1/2 in x 0.317 * [backup-simplify]: Simplify 1/2 into 1/2 0.318 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.318 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.318 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.318 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.318 * [taylor]: Taking taylor expansion of 1 in x 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of 1 in x 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (* x x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (* 0 0) into 0 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [backup-simplify]: Simplify (sqrt 1) into 1 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [backup-simplify]: Simplify 1/2 into 1/2 0.321 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.321 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.324 * [backup-simplify]: Simplify (sqrt 1) into 1 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.326 * [backup-simplify]: Simplify (- 1) into -1 0.326 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.328 * [backup-simplify]: Simplify (+ 0 1) into 1 0.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.330 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.330 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.330 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.331 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.331 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.331 * [backup-simplify]: Simplify 1/8 into 1/8 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.341 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.341 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.342 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.342 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.342 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.342 * [backup-simplify]: Simplify -11/128 into -11/128 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) 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 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.360 * [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 0.363 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.363 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.365 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.366 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.366 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.366 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.366 * [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))) 0.367 * [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))) 0.367 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.367 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.367 * [taylor]: Taking taylor expansion of 1 in x 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.367 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.367 * [taylor]: Taking taylor expansion of 1/2 in x 0.367 * [backup-simplify]: Simplify 1/2 into 1/2 0.367 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.367 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.367 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.367 * [taylor]: Taking taylor expansion of 1 in x 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of 1 in x 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (+ 0 1) into 1 0.369 * [backup-simplify]: Simplify (sqrt 1) into 1 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [taylor]: Taking taylor expansion of 1/2 in x 0.373 * [backup-simplify]: Simplify 1/2 into 1/2 0.373 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.374 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.374 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.375 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.376 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.376 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.376 * [taylor]: Taking taylor expansion of 1 in x 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.376 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of 1/2 in x 0.376 * [backup-simplify]: Simplify 1/2 into 1/2 0.376 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.377 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.377 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.377 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.377 * [taylor]: Taking taylor expansion of 1 in x 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of 1 in x 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (+ 0 1) into 1 0.379 * [backup-simplify]: Simplify (sqrt 1) into 1 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of 1/2 in x 0.383 * [backup-simplify]: Simplify 1/2 into 1/2 0.383 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.384 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.384 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.385 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.386 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.387 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.388 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.389 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.391 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.394 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.397 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.403 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.405 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.406 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.409 * [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))) 0.410 * [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))) 0.410 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.410 * [taylor]: Taking taylor expansion of 1 in x 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.410 * [taylor]: Taking taylor expansion of 1/2 in x 0.410 * [backup-simplify]: Simplify 1/2 into 1/2 0.410 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.410 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.410 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.410 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.410 * [taylor]: Taking taylor expansion of 1 in x 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of 1 in x 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.410 * [taylor]: Taking taylor expansion of -1 in x 0.410 * [backup-simplify]: Simplify -1 into -1 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ -1 1) into -1 0.410 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.410 * [taylor]: Taking taylor expansion of -1 in x 0.410 * [backup-simplify]: Simplify -1 into -1 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (/ -1 1) into -1 0.411 * [backup-simplify]: Simplify (* -1 -1) into 1 0.411 * [backup-simplify]: Simplify (+ 0 1) into 1 0.411 * [backup-simplify]: Simplify (sqrt 1) into 1 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [taylor]: Taking taylor expansion of 1/2 in x 0.414 * [backup-simplify]: Simplify 1/2 into 1/2 0.414 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.414 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.415 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.415 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.416 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.416 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.416 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.416 * [taylor]: Taking taylor expansion of 1/2 in x 0.416 * [backup-simplify]: Simplify 1/2 into 1/2 0.416 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.416 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.416 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ -1 1) into -1 0.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ -1 1) into -1 0.417 * [backup-simplify]: Simplify (* -1 -1) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.418 * [backup-simplify]: Simplify (sqrt 1) into 1 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of 1/2 in x 0.420 * [backup-simplify]: Simplify 1/2 into 1/2 0.420 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.420 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.421 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.421 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.422 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.422 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.423 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.424 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.425 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.428 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.430 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.440 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.443 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.446 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.451 * [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)) 0.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.451 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.451 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of 1/2 in x 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.451 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.452 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of (* x x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (* 0 0) into 0 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.453 * [backup-simplify]: Simplify (sqrt 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.456 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.456 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of 1/2 in x 0.456 * [backup-simplify]: Simplify 1/2 into 1/2 0.456 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.456 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.457 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of (* x x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (* 0 0) into 0 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (sqrt 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.461 * [backup-simplify]: Simplify 1/2 into 1/2 0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.464 * [backup-simplify]: Simplify (+ 0 1) into 1 0.465 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.467 * [backup-simplify]: Simplify -1/4 into -1/4 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.478 * [backup-simplify]: Simplify 3/16 into 3/16 0.478 * [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))) 0.478 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.479 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.479 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.479 * [taylor]: Taking taylor expansion of 1/2 in x 0.479 * [backup-simplify]: Simplify 1/2 into 1/2 0.479 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.479 * [taylor]: Taking taylor expansion of 1 in x 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [taylor]: Taking taylor expansion of 1 in x 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (+ 0 1) into 1 0.481 * [backup-simplify]: Simplify (sqrt 1) into 1 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.485 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.485 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1/2 in x 0.485 * [backup-simplify]: Simplify 1/2 into 1/2 0.485 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.485 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (+ 0 1) into 1 0.488 * [backup-simplify]: Simplify (sqrt 1) into 1 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.492 * [backup-simplify]: Simplify 1/2 into 1/2 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (+ 1 0) into 1 0.498 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.499 * [backup-simplify]: Simplify -1/4 into -1/4 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.514 * [backup-simplify]: Simplify 3/16 into 3/16 0.514 * [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)))) 0.514 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.514 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.514 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.514 * [taylor]: Taking taylor expansion of 1/2 in x 0.514 * [backup-simplify]: Simplify 1/2 into 1/2 0.514 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.515 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.515 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.515 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.515 * [taylor]: Taking taylor expansion of 1 in x 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of 1 in x 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.515 * [taylor]: Taking taylor expansion of -1 in x 0.515 * [backup-simplify]: Simplify -1 into -1 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ -1 1) into -1 0.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.515 * [taylor]: Taking taylor expansion of -1 in x 0.515 * [backup-simplify]: Simplify -1 into -1 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ -1 1) into -1 0.516 * [backup-simplify]: Simplify (* -1 -1) into 1 0.517 * [backup-simplify]: Simplify (+ 0 1) into 1 0.517 * [backup-simplify]: Simplify (sqrt 1) into 1 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.521 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.521 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.521 * [taylor]: Taking taylor expansion of 1/2 in x 0.521 * [backup-simplify]: Simplify 1/2 into 1/2 0.521 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.521 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.521 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.521 * [taylor]: Taking taylor expansion of 1 in x 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of 1 in x 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [backup-simplify]: Simplify -1 into -1 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (/ -1 1) into -1 0.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.522 * [taylor]: Taking taylor expansion of -1 in x 0.522 * [backup-simplify]: Simplify -1 into -1 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ -1 1) into -1 0.523 * [backup-simplify]: Simplify (* -1 -1) into 1 0.523 * [backup-simplify]: Simplify (+ 0 1) into 1 0.524 * [backup-simplify]: Simplify (sqrt 1) into 1 0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.528 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.528 * [backup-simplify]: Simplify 1/2 into 1/2 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.533 * [backup-simplify]: Simplify (+ 1 0) into 1 0.534 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.535 * [backup-simplify]: Simplify -1/4 into -1/4 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.551 * [backup-simplify]: Simplify 3/16 into 3/16 0.551 * [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)))) 0.552 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.552 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 x))) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.552 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.552 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of 1/2 in x 0.552 * [backup-simplify]: Simplify 1/2 into 1/2 0.552 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.552 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.552 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of (* x x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [backup-simplify]: Simplify (* 0 0) into 0 0.554 * [backup-simplify]: Simplify (+ 1 0) into 1 0.554 * [backup-simplify]: Simplify (sqrt 1) into 1 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of 1/2 in x 0.557 * [backup-simplify]: Simplify 1/2 into 1/2 0.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of 1/2 in x 0.557 * [backup-simplify]: Simplify 1/2 into 1/2 0.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.557 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.557 * [taylor]: Taking taylor expansion of 1 in x 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [taylor]: Taking taylor expansion of 1 in x 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [taylor]: Taking taylor expansion of (* x x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (* 0 0) into 0 0.559 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify (sqrt 1) into 1 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.560 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [taylor]: Taking taylor expansion of 1/2 in x 0.562 * [backup-simplify]: Simplify 1/2 into 1/2 0.562 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.563 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.563 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.567 * [backup-simplify]: Simplify (+ 0 1) into 1 0.570 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.573 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.573 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.573 * [backup-simplify]: Simplify -1/4 into -1/4 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.589 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.589 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.589 * [backup-simplify]: Simplify 3/16 into 3/16 0.590 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1)) into (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) 0.590 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.590 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.590 * [taylor]: Taking taylor expansion of 1/2 in x 0.590 * [backup-simplify]: Simplify 1/2 into 1/2 0.590 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 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 0.590 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of 1/2 in x 0.597 * [backup-simplify]: Simplify 1/2 into 1/2 0.597 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.597 * [taylor]: Taking taylor expansion of 1/2 in x 0.597 * [backup-simplify]: Simplify 1/2 into 1/2 0.597 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.597 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.597 * [taylor]: Taking taylor expansion of 1 in x 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of 1 in x 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.597 * [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 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (+ 0 1) into 1 0.599 * [backup-simplify]: Simplify (sqrt 1) into 1 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of 1/2 in x 0.603 * [backup-simplify]: Simplify 1/2 into 1/2 0.603 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.603 * [backup-simplify]: Simplify 1/2 into 1/2 0.604 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.604 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.604 * [backup-simplify]: Simplify 1/2 into 1/2 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.606 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.610 * [backup-simplify]: Simplify (+ 1 0) into 1 0.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.611 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.612 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.612 * [backup-simplify]: Simplify -1/4 into -1/4 0.612 * [backup-simplify]: Simplify (+ (* -1/4 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 0.612 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.612 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.612 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.612 * [taylor]: Taking taylor expansion of 1/2 in x 0.612 * [backup-simplify]: Simplify 1/2 into 1/2 0.612 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.612 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.612 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.612 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.612 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.612 * [taylor]: Taking taylor expansion of 1 in x 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of 1 in x 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.612 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.612 * [taylor]: Taking taylor expansion of -1 in x 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ -1 1) into -1 0.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.613 * [taylor]: Taking taylor expansion of -1 in x 0.613 * [backup-simplify]: Simplify -1 into -1 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ -1 1) into -1 0.613 * [backup-simplify]: Simplify (* -1 -1) into 1 0.614 * [backup-simplify]: Simplify (+ 0 1) into 1 0.614 * [backup-simplify]: Simplify (sqrt 1) into 1 0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.616 * [backup-simplify]: Simplify (/ 1 1) into 1 0.616 * [taylor]: Taking taylor expansion of 1/2 in x 0.616 * [backup-simplify]: Simplify 1/2 into 1/2 0.616 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.616 * [taylor]: Taking taylor expansion of 1/2 in x 0.616 * [backup-simplify]: Simplify 1/2 into 1/2 0.616 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.616 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.616 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.616 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.616 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.616 * [taylor]: Taking taylor expansion of 1 in x 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of 1 in x 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.616 * [backup-simplify]: Simplify -1 into -1 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (/ -1 1) into -1 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 0.617 * [backup-simplify]: Simplify (/ -1 1) into -1 0.617 * [backup-simplify]: Simplify (* -1 -1) into 1 0.618 * [backup-simplify]: Simplify (+ 0 1) into 1 0.618 * [backup-simplify]: Simplify (sqrt 1) into 1 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [taylor]: Taking taylor expansion of 1/2 in x 0.620 * [backup-simplify]: Simplify 1/2 into 1/2 0.620 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.621 * [backup-simplify]: Simplify 1/2 into 1/2 0.621 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.621 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.621 * [backup-simplify]: Simplify 1/2 into 1/2 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.624 * [backup-simplify]: Simplify (+ 1 0) into 1 0.625 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.626 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.626 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.627 * [backup-simplify]: Simplify -1/4 into -1/4 0.627 * [backup-simplify]: Simplify (+ (* -1/4 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 0.627 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.627 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.627 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.627 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.627 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.627 * [taylor]: Taking taylor expansion of 1/2 in x 0.627 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.627 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.627 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.627 * [taylor]: Taking taylor expansion of 1 in x 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of 1 in x 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of (* x x) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (* 0 0) into 0 0.628 * [backup-simplify]: Simplify (+ 1 0) into 1 0.628 * [backup-simplify]: Simplify (sqrt 1) into 1 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.629 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) 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 1) into 1 0.630 * [taylor]: Taking taylor expansion of 1/2 in x 0.630 * [backup-simplify]: Simplify 1/2 into 1/2 0.630 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.630 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.631 * [backup-simplify]: Simplify (sqrt 1) into 1 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.632 * [taylor]: Taking taylor expansion of 1/2 in x 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.632 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.632 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.632 * [taylor]: Taking taylor expansion of 1 in x 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of 1 in x 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of (* x x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (* 0 0) into 0 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.634 * [backup-simplify]: Simplify (sqrt 1) into 1 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [taylor]: Taking taylor expansion of 1/2 in x 0.635 * [backup-simplify]: Simplify 1/2 into 1/2 0.635 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.636 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.636 * [backup-simplify]: Simplify (sqrt 1) into 1 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.639 * [backup-simplify]: Simplify (+ 0 1) into 1 0.639 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.641 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.641 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.642 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.642 * [backup-simplify]: Simplify -1/8 into -1/8 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.655 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.656 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.657 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.657 * [backup-simplify]: Simplify 11/128 into 11/128 0.658 * [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))) 0.658 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.658 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.658 * [taylor]: Taking taylor expansion of 1/2 in x 0.658 * [backup-simplify]: Simplify 1/2 into 1/2 0.658 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.658 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.658 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.658 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.658 * [taylor]: Taking taylor expansion of 1 in x 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of 1 in x 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [backup-simplify]: Simplify (* 1 1) into 1 0.660 * [backup-simplify]: Simplify (+ 0 1) into 1 0.661 * [backup-simplify]: Simplify (sqrt 1) into 1 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [taylor]: Taking taylor expansion of 1/2 in x 0.664 * [backup-simplify]: Simplify 1/2 into 1/2 0.665 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.665 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.666 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.666 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.668 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.668 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.668 * [taylor]: Taking taylor expansion of 1/2 in x 0.668 * [backup-simplify]: Simplify 1/2 into 1/2 0.668 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.668 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.668 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.668 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.668 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.668 * [taylor]: Taking taylor expansion of 1 in x 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [taylor]: Taking taylor expansion of 1 in x 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [backup-simplify]: Simplify (* 1 1) into 1 0.670 * [backup-simplify]: Simplify (+ 0 1) into 1 0.670 * [backup-simplify]: Simplify (sqrt 1) into 1 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [taylor]: Taking taylor expansion of 1/2 in x 0.674 * [backup-simplify]: Simplify 1/2 into 1/2 0.675 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.675 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.676 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.677 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.678 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.678 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.685 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.687 * [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))))) 0.687 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.687 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.687 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.687 * [taylor]: Taking taylor expansion of 1/2 in x 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.687 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.687 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.687 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.687 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.687 * [taylor]: Taking taylor expansion of 1 in x 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of 1 in x 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.687 * [taylor]: Taking taylor expansion of -1 in x 0.687 * [backup-simplify]: Simplify -1 into -1 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ -1 1) into -1 0.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.688 * [taylor]: Taking taylor expansion of -1 in x 0.688 * [backup-simplify]: Simplify -1 into -1 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ -1 1) into -1 0.688 * [backup-simplify]: Simplify (* -1 -1) into 1 0.689 * [backup-simplify]: Simplify (+ 0 1) into 1 0.689 * [backup-simplify]: Simplify (sqrt 1) into 1 0.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of 1/2 in x 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.692 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.692 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.692 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.693 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.693 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.693 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.693 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.694 * [taylor]: Taking taylor expansion of 1/2 in x 0.694 * [backup-simplify]: Simplify 1/2 into 1/2 0.694 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.694 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.694 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.694 * [taylor]: Taking taylor expansion of 1 in x 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [taylor]: Taking taylor expansion of 1 in x 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.694 * [taylor]: Taking taylor expansion of -1 in x 0.694 * [backup-simplify]: Simplify -1 into -1 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ -1 1) into -1 0.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.694 * [taylor]: Taking taylor expansion of -1 in x 0.694 * [backup-simplify]: Simplify -1 into -1 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ -1 1) into -1 0.695 * [backup-simplify]: Simplify (* -1 -1) into 1 0.695 * [backup-simplify]: Simplify (+ 0 1) into 1 0.695 * [backup-simplify]: Simplify (sqrt 1) into 1 0.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.698 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [taylor]: Taking taylor expansion of 1/2 in x 0.698 * [backup-simplify]: Simplify 1/2 into 1/2 0.698 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.698 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.699 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.699 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.700 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.700 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.701 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.706 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.709 * [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)))))) 0.709 * * * [progress]: simplifying candidates 0.710 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 0.710 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 20 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 21 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 22 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 23 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 24 / 127 ] simplifiying candidate # 0.711 * * * * [progress]: [ 25 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 26 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 27 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 28 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 29 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 30 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 31 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 32 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 33 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 34 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 35 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 36 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 0.712 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.713 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 0.713 * * * * [progress]: [ 58 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 0.714 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.715 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 0.715 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #real (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.716 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 0.716 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.717 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 0.717 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 0.718 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 0.718 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 0.718 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 0.718 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 0.718 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 0.718 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 0.718 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 0.721 * [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 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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 (/ 1/2 (hypot 1 x)))) (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (exp 1/2) (exp (/ 1/2 (hypot 1 x)))) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3))) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1 2) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 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)))))) 0.726 * * [simplify]: iteration 0: 213 enodes 0.808 * * [simplify]: iteration 1: 507 enodes 1.178 * * [simplify]: iteration 2: 1398 enodes 2.498 * * [simplify]: iteration 3: 4713 enodes 3.609 * * [simplify]: iteration complete: 5000 enodes 3.609 * * [simplify]: Extracting #0: cost 95 inf + 0 3.612 * * [simplify]: Extracting #1: cost 573 inf + 3 3.635 * * [simplify]: Extracting #2: cost 1013 inf + 11960 3.667 * * [simplify]: Extracting #3: cost 648 inf + 73113 3.704 * * [simplify]: Extracting #4: cost 275 inf + 156824 3.795 * * [simplify]: Extracting #5: cost 34 inf + 229076 3.904 * * [simplify]: Extracting #6: cost 3 inf + 239928 3.980 * * [simplify]: Extracting #7: cost 0 inf + 240809 4.063 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (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 (hypot 1 x)) 1/2)) (+ (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))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8) (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4) (- 1/4 (/ 1/4 (* (hypot 1 x) (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)) (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- 1/4 (/ 1/4 (* (hypot 1 x) (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (* x x) 1/8 (fma (* (* x x) (* (* x x) (* x x))) 69/1024 (* -11/128 (* (* x x) (* x x))))) (fma (/ 1 (* (* (sqrt 1/2) x) x)) 1/16 (- 1 (+ (sqrt 1/2) (/ (/ 1/4 (sqrt 1/2)) x)))) (- (+ (/ (/ 1/4 (sqrt 1/2)) x) 1) (+ (/ (/ -1/32 (sqrt 1/2)) (* 1/2 (* x x))) (sqrt 1/2))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (- (/ 1/2 x) (/ (/ 1/4 x) (* x x))) (/ 3/16 (pow x 5))) (+ (/ -3/16 (pow x 5)) (- (/ (/ 1/4 x) (* x x)) (/ 1/2 x))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1)) (+ (+ (/ 1/2 x) 1/2) (/ -1/4 (* (* x x) x))) (fma (/ 1/2 x) (/ 1/2 (* x x)) (- 1/2 (/ 1/2 x))) (fma -1/8 (* x x) (fma 11/128 (* (* x x) (* x x)) 1)) (+ (/ (/ 1/4 (sqrt 1/2)) x) (+ (sqrt 1/2) (/ (/ -1/32 (sqrt 1/2)) (* 1/2 (* x x))))) (+ (/ (/ -1/32 (sqrt 1/2)) (* 1/2 (* x x))) (+ (/ -1/4 (* (sqrt 1/2) x)) (sqrt 1/2))) 4.073 * * * [progress]: adding candidates to table 4.570 * * [progress]: iteration 2 / 4 4.570 * * * [progress]: picking best candidate 4.580 * * * * [pick]: Picked # 4.580 * * * [progress]: localizing error 4.622 * * * [progress]: generating rewritten candidates 4.623 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.633 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.873 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.915 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.111 * * * [progress]: generating series expansions 5.111 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.111 * [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))) 5.111 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 5.111 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 5.111 * [taylor]: Taking taylor expansion of 1 in x 5.111 * [backup-simplify]: Simplify 1 into 1 5.111 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.111 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.112 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.112 * [taylor]: Taking taylor expansion of 1/2 in x 5.112 * [backup-simplify]: Simplify 1/2 into 1/2 5.112 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.112 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.112 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.112 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.112 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.112 * [taylor]: Taking taylor expansion of 1 in x 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [taylor]: Taking taylor expansion of 1 in x 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [taylor]: Taking taylor expansion of (* x x) in x 5.112 * [taylor]: Taking taylor expansion of x in x 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [taylor]: Taking taylor expansion of x in x 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (* 1 1) into 1 5.113 * [backup-simplify]: Simplify (* 0 0) into 0 5.113 * [backup-simplify]: Simplify (+ 1 0) into 1 5.113 * [backup-simplify]: Simplify (sqrt 1) into 1 5.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.114 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.115 * [backup-simplify]: Simplify (+ 0 0) into 0 5.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.116 * [taylor]: Taking taylor expansion of 1/2 in x 5.116 * [backup-simplify]: Simplify 1/2 into 1/2 5.116 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.117 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.117 * [backup-simplify]: Simplify (* 1 1) into 1 5.118 * [backup-simplify]: Simplify (* 1 1) into 1 5.118 * [backup-simplify]: Simplify (sqrt 1) into 1 5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.120 * [backup-simplify]: Simplify (+ 0 0) into 0 5.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.122 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 5.122 * [taylor]: Taking taylor expansion of 1 in x 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.122 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.122 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.122 * [taylor]: Taking taylor expansion of 1/2 in x 5.122 * [backup-simplify]: Simplify 1/2 into 1/2 5.122 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.122 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.122 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.122 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.122 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.122 * [taylor]: Taking taylor expansion of 1 in x 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [taylor]: Taking taylor expansion of 1 in x 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [taylor]: Taking taylor expansion of (* x x) in x 5.122 * [taylor]: Taking taylor expansion of x in x 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.122 * [taylor]: Taking taylor expansion of x in x 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (* 1 1) into 1 5.123 * [backup-simplify]: Simplify (* 0 0) into 0 5.124 * [backup-simplify]: Simplify (+ 1 0) into 1 5.124 * [backup-simplify]: Simplify (sqrt 1) into 1 5.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.125 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.126 * [backup-simplify]: Simplify (+ 0 0) into 0 5.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.127 * [backup-simplify]: Simplify (/ 1 1) into 1 5.127 * [taylor]: Taking taylor expansion of 1/2 in x 5.127 * [backup-simplify]: Simplify 1/2 into 1/2 5.127 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.127 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.128 * [backup-simplify]: Simplify (* 1 1) into 1 5.128 * [backup-simplify]: Simplify (* 1 1) into 1 5.128 * [backup-simplify]: Simplify (sqrt 1) into 1 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.130 * [backup-simplify]: Simplify (+ 0 0) into 0 5.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.132 * [backup-simplify]: Simplify (- 1) into -1 5.133 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify (- 0) into 0 5.134 * [backup-simplify]: Simplify (+ 0 0) into 0 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.136 * [backup-simplify]: Simplify (+ 0 1) into 1 5.137 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.139 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.140 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.141 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 5.141 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 5.142 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 5.142 * [backup-simplify]: Simplify (- -3/8) into 3/8 5.143 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 5.143 * [backup-simplify]: Simplify 3/8 into 3/8 5.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.144 * [backup-simplify]: Simplify (+ 0 0) into 0 5.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.147 * [backup-simplify]: Simplify (+ 0 0) into 0 5.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 5.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 5.149 * [backup-simplify]: Simplify (- 0) into 0 5.149 * [backup-simplify]: Simplify (+ 0 0) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.151 * [backup-simplify]: Simplify (+ 0 0) into 0 5.152 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.154 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.154 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.155 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 5.156 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 5.157 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 5.157 * [backup-simplify]: Simplify (- 39/128) into -39/128 5.157 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 5.157 * [backup-simplify]: Simplify -39/128 into -39/128 5.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.159 * [backup-simplify]: Simplify (+ 0 0) into 0 5.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 5.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 5.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 5.167 * [backup-simplify]: Simplify (- 0) into 0 5.167 * [backup-simplify]: Simplify (+ 0 0) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.169 * [backup-simplify]: Simplify (+ 0 0) into 0 5.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.171 * [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 5.173 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 5.173 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 5.175 * [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 5.178 * [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 5.180 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 5.181 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 5.181 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 5.181 * [backup-simplify]: Simplify 275/1024 into 275/1024 5.182 * [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))) 5.182 * [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))) 5.182 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 5.182 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 5.182 * [taylor]: Taking taylor expansion of 1 in x 5.182 * [backup-simplify]: Simplify 1 into 1 5.182 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.182 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.182 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.182 * [taylor]: Taking taylor expansion of 1/2 in x 5.182 * [backup-simplify]: Simplify 1/2 into 1/2 5.182 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.182 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.182 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.182 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.182 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.182 * [taylor]: Taking taylor expansion of 1 in x 5.182 * [backup-simplify]: Simplify 1 into 1 5.182 * [taylor]: Taking taylor expansion of 1 in x 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.183 * [taylor]: Taking taylor expansion of x in x 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [backup-simplify]: Simplify (/ 1 1) into 1 5.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.183 * [taylor]: Taking taylor expansion of x in x 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (/ 1 1) into 1 5.184 * [backup-simplify]: Simplify (* 1 1) into 1 5.184 * [backup-simplify]: Simplify (+ 0 1) into 1 5.185 * [backup-simplify]: Simplify (sqrt 1) into 1 5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.187 * [backup-simplify]: Simplify (+ 0 0) into 0 5.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.188 * [backup-simplify]: Simplify (/ 1 1) into 1 5.188 * [taylor]: Taking taylor expansion of 1/2 in x 5.188 * [backup-simplify]: Simplify 1/2 into 1/2 5.189 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.189 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.190 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.190 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.190 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.190 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.191 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.191 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.192 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.192 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 5.192 * [taylor]: Taking taylor expansion of 1 in x 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.192 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.192 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.192 * [taylor]: Taking taylor expansion of 1/2 in x 5.192 * [backup-simplify]: Simplify 1/2 into 1/2 5.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.192 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.192 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.192 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.192 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.192 * [taylor]: Taking taylor expansion of 1 in x 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [taylor]: Taking taylor expansion of 1 in x 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.192 * [taylor]: Taking taylor expansion of x in x 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.193 * [taylor]: Taking taylor expansion of x in x 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.193 * [backup-simplify]: Simplify (+ 0 1) into 1 5.194 * [backup-simplify]: Simplify (sqrt 1) into 1 5.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.195 * [backup-simplify]: Simplify (+ 0 0) into 0 5.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.196 * [backup-simplify]: Simplify (/ 1 1) into 1 5.196 * [taylor]: Taking taylor expansion of 1/2 in x 5.196 * [backup-simplify]: Simplify 1/2 into 1/2 5.196 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.196 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.197 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.197 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.197 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.197 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.198 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.198 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.199 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.200 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.201 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.201 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 5.202 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.204 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.212 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.214 * [backup-simplify]: Simplify (+ 0 0) into 0 5.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.215 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.219 * [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))) 5.227 * [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)))) 5.233 * [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)))) 5.238 * [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)))) 5.247 * [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)))) 5.247 * [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))) 5.247 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 5.247 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 5.247 * [taylor]: Taking taylor expansion of 1 in x 5.247 * [backup-simplify]: Simplify 1 into 1 5.248 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 5.248 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 5.248 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.248 * [taylor]: Taking taylor expansion of 1/2 in x 5.248 * [backup-simplify]: Simplify 1/2 into 1/2 5.248 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.248 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.248 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.248 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.248 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.248 * [taylor]: Taking taylor expansion of 1 in x 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [taylor]: Taking taylor expansion of 1 in x 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.248 * [taylor]: Taking taylor expansion of -1 in x 5.248 * [backup-simplify]: Simplify -1 into -1 5.248 * [taylor]: Taking taylor expansion of x in x 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.249 * [backup-simplify]: Simplify (/ -1 1) into -1 5.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.249 * [taylor]: Taking taylor expansion of -1 in x 5.249 * [backup-simplify]: Simplify -1 into -1 5.249 * [taylor]: Taking taylor expansion of x in x 5.249 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify 1 into 1 5.249 * [backup-simplify]: Simplify (/ -1 1) into -1 5.250 * [backup-simplify]: Simplify (* -1 -1) into 1 5.250 * [backup-simplify]: Simplify (+ 0 1) into 1 5.251 * [backup-simplify]: Simplify (sqrt 1) into 1 5.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.253 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.253 * [backup-simplify]: Simplify (+ 0 0) into 0 5.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.254 * [backup-simplify]: Simplify (/ 1 1) into 1 5.254 * [taylor]: Taking taylor expansion of 1/2 in x 5.254 * [backup-simplify]: Simplify 1/2 into 1/2 5.255 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.255 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.255 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.256 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.257 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.257 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.258 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.259 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.260 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 5.260 * [taylor]: Taking taylor expansion of 1 in x 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 5.260 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 5.260 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.260 * [taylor]: Taking taylor expansion of 1/2 in x 5.260 * [backup-simplify]: Simplify 1/2 into 1/2 5.260 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.260 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.260 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.260 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.260 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.260 * [taylor]: Taking taylor expansion of 1 in x 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [taylor]: Taking taylor expansion of 1 in x 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.260 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.260 * [taylor]: Taking taylor expansion of -1 in x 5.260 * [backup-simplify]: Simplify -1 into -1 5.260 * [taylor]: Taking taylor expansion of x in x 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (/ -1 1) into -1 5.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.261 * [taylor]: Taking taylor expansion of -1 in x 5.261 * [backup-simplify]: Simplify -1 into -1 5.261 * [taylor]: Taking taylor expansion of x in x 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (/ -1 1) into -1 5.262 * [backup-simplify]: Simplify (* -1 -1) into 1 5.262 * [backup-simplify]: Simplify (+ 0 1) into 1 5.262 * [backup-simplify]: Simplify (sqrt 1) into 1 5.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.265 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.265 * [backup-simplify]: Simplify (+ 0 0) into 0 5.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.266 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [taylor]: Taking taylor expansion of 1/2 in x 5.266 * [backup-simplify]: Simplify 1/2 into 1/2 5.267 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.267 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.268 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.268 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.269 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.269 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.270 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.270 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.272 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.273 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.274 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.275 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 5.276 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.280 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.282 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.284 * [backup-simplify]: Simplify (+ 0 0) into 0 5.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.287 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.292 * [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))) 5.301 * [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)))) 5.308 * [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)))) 5.314 * [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)))) 5.324 * [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))) 5.324 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.324 * [backup-simplify]: Simplify (/ (- 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) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) 5.324 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in (x) around 0 5.324 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in x 5.324 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 5.324 * [taylor]: Taking taylor expansion of 1 in x 5.324 * [backup-simplify]: Simplify 1 into 1 5.324 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.324 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.325 * [taylor]: Taking taylor expansion of 1/2 in x 5.325 * [backup-simplify]: Simplify 1/2 into 1/2 5.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.325 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.325 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.325 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.325 * [taylor]: Taking taylor expansion of 1 in x 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [taylor]: Taking taylor expansion of 1 in x 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [taylor]: Taking taylor expansion of (* x x) in x 5.325 * [taylor]: Taking taylor expansion of x in x 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [taylor]: Taking taylor expansion of x in x 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.326 * [backup-simplify]: Simplify (* 1 1) into 1 5.326 * [backup-simplify]: Simplify (* 0 0) into 0 5.326 * [backup-simplify]: Simplify (+ 1 0) into 1 5.327 * [backup-simplify]: Simplify (sqrt 1) into 1 5.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.328 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.329 * [backup-simplify]: Simplify (+ 0 0) into 0 5.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.330 * [backup-simplify]: Simplify (/ 1 1) into 1 5.330 * [taylor]: Taking taylor expansion of 1/2 in x 5.330 * [backup-simplify]: Simplify 1/2 into 1/2 5.330 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.330 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.331 * [backup-simplify]: Simplify (* 1 1) into 1 5.331 * [backup-simplify]: Simplify (* 1 1) into 1 5.332 * [backup-simplify]: Simplify (sqrt 1) into 1 5.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.333 * [backup-simplify]: Simplify (+ 0 0) into 0 5.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.335 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 5.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.336 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.336 * [taylor]: Taking taylor expansion of 1/2 in x 5.336 * [backup-simplify]: Simplify 1/2 into 1/2 5.336 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.336 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.336 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.336 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.336 * [taylor]: Taking taylor expansion of 1 in x 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [taylor]: Taking taylor expansion of 1 in x 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [taylor]: Taking taylor expansion of (* x x) in x 5.336 * [taylor]: Taking taylor expansion of x in x 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [taylor]: Taking taylor expansion of x in x 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [backup-simplify]: Simplify (* 1 1) into 1 5.337 * [backup-simplify]: Simplify (* 0 0) into 0 5.337 * [backup-simplify]: Simplify (+ 1 0) into 1 5.338 * [backup-simplify]: Simplify (sqrt 1) into 1 5.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.339 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.339 * [backup-simplify]: Simplify (+ 0 0) into 0 5.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.347 * [backup-simplify]: Simplify (/ 1 1) into 1 5.347 * [taylor]: Taking taylor expansion of 1/2 in x 5.347 * [backup-simplify]: Simplify 1/2 into 1/2 5.347 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.347 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.348 * [backup-simplify]: Simplify (sqrt 1) into 1 5.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.350 * [backup-simplify]: Simplify (+ 0 0) into 0 5.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.351 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 5.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.351 * [taylor]: Taking taylor expansion of 1/2 in x 5.351 * [backup-simplify]: Simplify 1/2 into 1/2 5.351 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.351 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.351 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.351 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.351 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.351 * [taylor]: Taking taylor expansion of 1 in x 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [taylor]: Taking taylor expansion of 1 in x 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [taylor]: Taking taylor expansion of (* x x) in x 5.351 * [taylor]: Taking taylor expansion of x in x 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [taylor]: Taking taylor expansion of x in x 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.352 * [backup-simplify]: Simplify (* 1 1) into 1 5.352 * [backup-simplify]: Simplify (* 0 0) into 0 5.352 * [backup-simplify]: Simplify (+ 1 0) into 1 5.353 * [backup-simplify]: Simplify (sqrt 1) into 1 5.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.354 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.354 * [backup-simplify]: Simplify (+ 0 0) into 0 5.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.355 * [backup-simplify]: Simplify (/ 1 1) into 1 5.355 * [taylor]: Taking taylor expansion of 3/2 in x 5.356 * [backup-simplify]: Simplify 3/2 into 3/2 5.356 * [backup-simplify]: Simplify (- 1) into -1 5.356 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.357 * [backup-simplify]: Simplify (- 0) into 0 5.357 * [backup-simplify]: Simplify (+ 0 0) into 0 5.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.359 * [backup-simplify]: Simplify (+ 0 1) into 1 5.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.362 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.363 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.364 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 5.365 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 5.366 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 5.366 * [backup-simplify]: Simplify (- -3/8) into 3/8 5.367 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 5.367 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.368 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 5.368 * [backup-simplify]: Simplify (+ 1 2) into 3 5.368 * [backup-simplify]: Simplify (/ 3/8 3) into 1/8 5.369 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in x 5.369 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 5.369 * [taylor]: Taking taylor expansion of 1 in x 5.369 * [backup-simplify]: Simplify 1 into 1 5.369 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.369 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.369 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.369 * [taylor]: Taking taylor expansion of 1/2 in x 5.369 * [backup-simplify]: Simplify 1/2 into 1/2 5.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.369 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.369 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.369 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.369 * [taylor]: Taking taylor expansion of 1 in x 5.369 * [backup-simplify]: Simplify 1 into 1 5.369 * [taylor]: Taking taylor expansion of 1 in x 5.369 * [backup-simplify]: Simplify 1 into 1 5.369 * [taylor]: Taking taylor expansion of (* x x) in x 5.369 * [taylor]: Taking taylor expansion of x in x 5.369 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify 1 into 1 5.369 * [taylor]: Taking taylor expansion of x in x 5.369 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify 1 into 1 5.370 * [backup-simplify]: Simplify (* 1 1) into 1 5.370 * [backup-simplify]: Simplify (* 0 0) into 0 5.370 * [backup-simplify]: Simplify (+ 1 0) into 1 5.371 * [backup-simplify]: Simplify (sqrt 1) into 1 5.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.372 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.373 * [backup-simplify]: Simplify (+ 0 0) into 0 5.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.374 * [backup-simplify]: Simplify (/ 1 1) into 1 5.374 * [taylor]: Taking taylor expansion of 1/2 in x 5.374 * [backup-simplify]: Simplify 1/2 into 1/2 5.374 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.375 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.375 * [backup-simplify]: Simplify (* 1 1) into 1 5.375 * [backup-simplify]: Simplify (* 1 1) into 1 5.376 * [backup-simplify]: Simplify (sqrt 1) into 1 5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.378 * [backup-simplify]: Simplify (+ 0 0) into 0 5.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.380 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 5.380 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.380 * [taylor]: Taking taylor expansion of 1/2 in x 5.380 * [backup-simplify]: Simplify 1/2 into 1/2 5.380 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.380 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.380 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.380 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.380 * [taylor]: Taking taylor expansion of 1 in x 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [taylor]: Taking taylor expansion of 1 in x 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [taylor]: Taking taylor expansion of (* x x) in x 5.380 * [taylor]: Taking taylor expansion of x in x 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [taylor]: Taking taylor expansion of x in x 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (* 1 1) into 1 5.381 * [backup-simplify]: Simplify (* 0 0) into 0 5.382 * [backup-simplify]: Simplify (+ 1 0) into 1 5.382 * [backup-simplify]: Simplify (sqrt 1) into 1 5.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.383 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.384 * [backup-simplify]: Simplify (+ 0 0) into 0 5.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.385 * [backup-simplify]: Simplify (/ 1 1) into 1 5.385 * [taylor]: Taking taylor expansion of 1/2 in x 5.385 * [backup-simplify]: Simplify 1/2 into 1/2 5.385 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.386 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.386 * [backup-simplify]: Simplify (sqrt 1) into 1 5.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.388 * [backup-simplify]: Simplify (+ 0 0) into 0 5.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.388 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 5.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.388 * [taylor]: Taking taylor expansion of 1/2 in x 5.389 * [backup-simplify]: Simplify 1/2 into 1/2 5.389 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.389 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.389 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.389 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.389 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.389 * [taylor]: Taking taylor expansion of 1 in x 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [taylor]: Taking taylor expansion of 1 in x 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [taylor]: Taking taylor expansion of (* x x) in x 5.389 * [taylor]: Taking taylor expansion of x in x 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [taylor]: Taking taylor expansion of x in x 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (* 1 1) into 1 5.390 * [backup-simplify]: Simplify (* 0 0) into 0 5.390 * [backup-simplify]: Simplify (+ 1 0) into 1 5.391 * [backup-simplify]: Simplify (sqrt 1) into 1 5.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.392 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.392 * [backup-simplify]: Simplify (+ 0 0) into 0 5.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.393 * [backup-simplify]: Simplify (/ 1 1) into 1 5.393 * [taylor]: Taking taylor expansion of 3/2 in x 5.393 * [backup-simplify]: Simplify 3/2 into 3/2 5.394 * [backup-simplify]: Simplify (- 1) into -1 5.394 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.394 * [backup-simplify]: Simplify (- 0) into 0 5.395 * [backup-simplify]: Simplify (+ 0 0) into 0 5.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.397 * [backup-simplify]: Simplify (+ 0 1) into 1 5.398 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.400 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.400 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.401 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 5.402 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 5.403 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 5.404 * [backup-simplify]: Simplify (- -3/8) into 3/8 5.404 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 5.405 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.405 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 5.406 * [backup-simplify]: Simplify (+ 1 2) into 3 5.406 * [backup-simplify]: Simplify (/ 3/8 3) into 1/8 5.406 * [backup-simplify]: Simplify 1/8 into 1/8 5.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ 0 0) into 0 5.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 5.417 * [backup-simplify]: Simplify (- 0) into 0 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.420 * [backup-simplify]: Simplify (+ 0 0) into 0 5.420 * [backup-simplify]: Simplify (+ 0 0) into 0 5.421 * [backup-simplify]: Simplify (- (/ 0 3) (+ (* 1/8 (/ 0 3)))) into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.424 * [backup-simplify]: Simplify (+ 0 0) into 0 5.425 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.430 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.431 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.432 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 5.435 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 5.436 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 5.437 * [backup-simplify]: Simplify (- 39/128) into -39/128 5.438 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 5.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.440 * [backup-simplify]: Simplify (+ 0 1) into 1 5.441 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.443 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.443 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.445 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 5.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.447 * [backup-simplify]: Simplify (+ 0 1) into 1 5.448 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.450 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.450 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.451 * [backup-simplify]: Simplify (+ -1/8 -1/4) into -3/8 5.452 * [backup-simplify]: Simplify (- (/ -39/128 3) (+ (* 1/8 (/ -3/8 3)) (* 0 (/ 0 3)))) into -11/128 5.452 * [backup-simplify]: Simplify -11/128 into -11/128 5.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.456 * [backup-simplify]: Simplify (+ 0 0) into 0 5.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 5.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 5.462 * [backup-simplify]: Simplify (+ 0 0) into 0 5.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 5.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 5.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 5.466 * [backup-simplify]: Simplify (- 0) into 0 5.466 * [backup-simplify]: Simplify (+ 0 0) into 0 5.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.468 * [backup-simplify]: Simplify (+ 0 0) into 0 5.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (+ 0 0) into 0 5.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 5.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.472 * [backup-simplify]: Simplify (+ 0 0) into 0 5.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ 0 0) into 0 5.475 * [backup-simplify]: Simplify (+ 0 0) into 0 5.476 * [backup-simplify]: Simplify (- (/ 0 3) (+ (* 1/8 (/ 0 3)) (* 0 (/ -3/8 3)) (* -11/128 (/ 0 3)))) into 0 5.476 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.485 * [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 5.487 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 5.487 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 5.488 * [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 5.490 * [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 5.492 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 5.492 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 5.493 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 5.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.496 * [backup-simplify]: Simplify (+ 0 0) into 0 5.497 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.501 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.501 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.503 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 5.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.506 * [backup-simplify]: Simplify (+ 0 0) into 0 5.507 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.508 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.509 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.509 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 5.510 * [backup-simplify]: Simplify (- (/ 275/1024 3) (+ (* 1/8 (/ 35/128 3)) (* 0 (/ 0 3)) (* -11/128 (/ -3/8 3)) (* 0 (/ 0 3)))) into 69/1024 5.510 * [backup-simplify]: Simplify 69/1024 into 69/1024 5.510 * [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))) 5.511 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) 5.511 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in (x) around 0 5.511 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in x 5.511 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 5.511 * [taylor]: Taking taylor expansion of 1 in x 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.511 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.511 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.511 * [taylor]: Taking taylor expansion of 1/2 in x 5.511 * [backup-simplify]: Simplify 1/2 into 1/2 5.511 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.511 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.511 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.511 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.511 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.511 * [taylor]: Taking taylor expansion of 1 in x 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [taylor]: Taking taylor expansion of 1 in x 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.511 * [taylor]: Taking taylor expansion of x in x 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.512 * [backup-simplify]: Simplify (/ 1 1) into 1 5.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.512 * [taylor]: Taking taylor expansion of x in x 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 1 into 1 5.512 * [backup-simplify]: Simplify (/ 1 1) into 1 5.512 * [backup-simplify]: Simplify (* 1 1) into 1 5.512 * [backup-simplify]: Simplify (+ 0 1) into 1 5.513 * [backup-simplify]: Simplify (sqrt 1) into 1 5.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.514 * [backup-simplify]: Simplify (+ 0 0) into 0 5.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.515 * [backup-simplify]: Simplify (/ 1 1) into 1 5.515 * [taylor]: Taking taylor expansion of 1/2 in x 5.515 * [backup-simplify]: Simplify 1/2 into 1/2 5.515 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.515 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.515 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.516 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.516 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.516 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.517 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.517 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.518 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.518 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 5.518 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.518 * [taylor]: Taking taylor expansion of 1/2 in x 5.518 * [backup-simplify]: Simplify 1/2 into 1/2 5.518 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.518 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.518 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.518 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.518 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.518 * [taylor]: Taking taylor expansion of 1 in x 5.518 * [backup-simplify]: Simplify 1 into 1 5.518 * [taylor]: Taking taylor expansion of 1 in x 5.518 * [backup-simplify]: Simplify 1 into 1 5.518 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.518 * [taylor]: Taking taylor expansion of x in x 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 1 into 1 5.518 * [backup-simplify]: Simplify (/ 1 1) into 1 5.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.518 * [taylor]: Taking taylor expansion of x in x 5.518 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify (/ 1 1) into 1 5.519 * [backup-simplify]: Simplify (* 1 1) into 1 5.519 * [backup-simplify]: Simplify (+ 0 1) into 1 5.519 * [backup-simplify]: Simplify (sqrt 1) into 1 5.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.521 * [backup-simplify]: Simplify (+ 0 0) into 0 5.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.522 * [backup-simplify]: Simplify (/ 1 1) into 1 5.522 * [taylor]: Taking taylor expansion of 1/2 in x 5.522 * [backup-simplify]: Simplify 1/2 into 1/2 5.522 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.522 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.522 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.523 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.524 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.524 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 5.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.524 * [taylor]: Taking taylor expansion of 1/2 in x 5.524 * [backup-simplify]: Simplify 1/2 into 1/2 5.524 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.524 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.524 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.524 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.524 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.524 * [taylor]: Taking taylor expansion of 1 in x 5.524 * [backup-simplify]: Simplify 1 into 1 5.524 * [taylor]: Taking taylor expansion of 1 in x 5.524 * [backup-simplify]: Simplify 1 into 1 5.524 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.524 * [taylor]: Taking taylor expansion of x in x 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify 1 into 1 5.524 * [backup-simplify]: Simplify (/ 1 1) into 1 5.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.524 * [taylor]: Taking taylor expansion of x in x 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify 1 into 1 5.524 * [backup-simplify]: Simplify (/ 1 1) into 1 5.525 * [backup-simplify]: Simplify (* 1 1) into 1 5.525 * [backup-simplify]: Simplify (+ 0 1) into 1 5.525 * [backup-simplify]: Simplify (sqrt 1) into 1 5.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.527 * [backup-simplify]: Simplify (+ 0 0) into 0 5.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.527 * [backup-simplify]: Simplify (/ 1 1) into 1 5.528 * [taylor]: Taking taylor expansion of 3/2 in x 5.528 * [backup-simplify]: Simplify 3/2 into 3/2 5.528 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.529 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.529 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 5.530 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 5.531 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.531 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in x 5.531 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 5.531 * [taylor]: Taking taylor expansion of 1 in x 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.531 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.531 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.531 * [taylor]: Taking taylor expansion of 1/2 in x 5.532 * [backup-simplify]: Simplify 1/2 into 1/2 5.532 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.532 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.532 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.532 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.532 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.532 * [taylor]: Taking taylor expansion of 1 in x 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [taylor]: Taking taylor expansion of 1 in x 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.532 * [taylor]: Taking taylor expansion of x in x 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (/ 1 1) into 1 5.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.532 * [taylor]: Taking taylor expansion of x in x 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (/ 1 1) into 1 5.533 * [backup-simplify]: Simplify (* 1 1) into 1 5.533 * [backup-simplify]: Simplify (+ 0 1) into 1 5.533 * [backup-simplify]: Simplify (sqrt 1) into 1 5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.535 * [backup-simplify]: Simplify (+ 0 0) into 0 5.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.535 * [backup-simplify]: Simplify (/ 1 1) into 1 5.535 * [taylor]: Taking taylor expansion of 1/2 in x 5.535 * [backup-simplify]: Simplify 1/2 into 1/2 5.536 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.536 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.536 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.536 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.537 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.537 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.537 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.537 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.539 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.539 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 5.539 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.539 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.539 * [taylor]: Taking taylor expansion of 1/2 in x 5.539 * [backup-simplify]: Simplify 1/2 into 1/2 5.539 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.539 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.539 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.539 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.539 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.539 * [taylor]: Taking taylor expansion of 1 in x 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [taylor]: Taking taylor expansion of 1 in x 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.539 * [taylor]: Taking taylor expansion of x in x 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [backup-simplify]: Simplify (/ 1 1) into 1 5.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.539 * [taylor]: Taking taylor expansion of x in x 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify (/ 1 1) into 1 5.540 * [backup-simplify]: Simplify (* 1 1) into 1 5.540 * [backup-simplify]: Simplify (+ 0 1) into 1 5.540 * [backup-simplify]: Simplify (sqrt 1) into 1 5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.542 * [backup-simplify]: Simplify (+ 0 0) into 0 5.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.543 * [backup-simplify]: Simplify (/ 1 1) into 1 5.543 * [taylor]: Taking taylor expansion of 1/2 in x 5.543 * [backup-simplify]: Simplify 1/2 into 1/2 5.544 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.544 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.544 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.545 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.546 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.546 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 5.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.547 * [taylor]: Taking taylor expansion of 1/2 in x 5.547 * [backup-simplify]: Simplify 1/2 into 1/2 5.547 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.547 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.547 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.547 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.547 * [taylor]: Taking taylor expansion of 1 in x 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [taylor]: Taking taylor expansion of 1 in x 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.547 * [taylor]: Taking taylor expansion of x in x 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [backup-simplify]: Simplify (/ 1 1) into 1 5.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.547 * [taylor]: Taking taylor expansion of x in x 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [backup-simplify]: Simplify (* 1 1) into 1 5.549 * [backup-simplify]: Simplify (+ 0 1) into 1 5.549 * [backup-simplify]: Simplify (sqrt 1) into 1 5.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.551 * [backup-simplify]: Simplify (+ 0 0) into 0 5.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.553 * [backup-simplify]: Simplify (/ 1 1) into 1 5.553 * [taylor]: Taking taylor expansion of 3/2 in x 5.553 * [backup-simplify]: Simplify 3/2 into 3/2 5.553 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.555 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.555 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 5.556 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 5.559 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.562 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.563 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.567 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.567 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.568 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.569 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 5.588 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 5.611 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.613 * [backup-simplify]: Simplify (+ 0 0) into 0 5.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.615 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.620 * [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))) 5.626 * [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)))) 5.630 * [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)))) 5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.632 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.636 * [backup-simplify]: Simplify (+ 0 0) into 0 5.638 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.719 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 5.854 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 6.034 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 x)) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (* 1/4 (/ (sqrt 1/8) (* x (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) 6.035 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) 6.035 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in (x) around 0 6.035 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in x 6.035 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 6.035 * [taylor]: Taking taylor expansion of 1 in x 6.035 * [backup-simplify]: Simplify 1 into 1 6.035 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 6.035 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 6.035 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.035 * [taylor]: Taking taylor expansion of 1/2 in x 6.035 * [backup-simplify]: Simplify 1/2 into 1/2 6.035 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.035 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.035 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.035 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.035 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.036 * [taylor]: Taking taylor expansion of 1 in x 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [taylor]: Taking taylor expansion of 1 in x 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.036 * [taylor]: Taking taylor expansion of -1 in x 6.036 * [backup-simplify]: Simplify -1 into -1 6.036 * [taylor]: Taking taylor expansion of x in x 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (/ -1 1) into -1 6.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.037 * [taylor]: Taking taylor expansion of -1 in x 6.037 * [backup-simplify]: Simplify -1 into -1 6.037 * [taylor]: Taking taylor expansion of x in x 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (/ -1 1) into -1 6.038 * [backup-simplify]: Simplify (* -1 -1) into 1 6.038 * [backup-simplify]: Simplify (+ 0 1) into 1 6.038 * [backup-simplify]: Simplify (sqrt 1) into 1 6.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.041 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.041 * [backup-simplify]: Simplify (+ 0 0) into 0 6.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.042 * [backup-simplify]: Simplify (/ 1 1) into 1 6.042 * [taylor]: Taking taylor expansion of 1/2 in x 6.042 * [backup-simplify]: Simplify 1/2 into 1/2 6.043 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.043 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.044 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.044 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.044 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.045 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.051 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.053 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.054 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.054 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 6.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.054 * [taylor]: Taking taylor expansion of 1/2 in x 6.055 * [backup-simplify]: Simplify 1/2 into 1/2 6.055 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.055 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.055 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.055 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.055 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.055 * [taylor]: Taking taylor expansion of 1 in x 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [taylor]: Taking taylor expansion of 1 in x 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.055 * [taylor]: Taking taylor expansion of -1 in x 6.055 * [backup-simplify]: Simplify -1 into -1 6.055 * [taylor]: Taking taylor expansion of x in x 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [backup-simplify]: Simplify (/ -1 1) into -1 6.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.056 * [taylor]: Taking taylor expansion of -1 in x 6.056 * [backup-simplify]: Simplify -1 into -1 6.056 * [taylor]: Taking taylor expansion of x in x 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (/ -1 1) into -1 6.056 * [backup-simplify]: Simplify (* -1 -1) into 1 6.057 * [backup-simplify]: Simplify (+ 0 1) into 1 6.057 * [backup-simplify]: Simplify (sqrt 1) into 1 6.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.060 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.061 * [backup-simplify]: Simplify (/ 1 1) into 1 6.061 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 6.061 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.061 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.061 * [taylor]: Taking taylor expansion of 1/2 in x 6.061 * [backup-simplify]: Simplify 1/2 into 1/2 6.062 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.062 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.062 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.062 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.062 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.062 * [taylor]: Taking taylor expansion of 1 in x 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of 1 in x 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.062 * [taylor]: Taking taylor expansion of -1 in x 6.062 * [backup-simplify]: Simplify -1 into -1 6.062 * [taylor]: Taking taylor expansion of x in x 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (/ -1 1) into -1 6.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.062 * [taylor]: Taking taylor expansion of -1 in x 6.063 * [backup-simplify]: Simplify -1 into -1 6.063 * [taylor]: Taking taylor expansion of x in x 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (/ -1 1) into -1 6.063 * [backup-simplify]: Simplify (* -1 -1) into 1 6.064 * [backup-simplify]: Simplify (+ 0 1) into 1 6.064 * [backup-simplify]: Simplify (sqrt 1) into 1 6.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.067 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.068 * [backup-simplify]: Simplify (/ 1 1) into 1 6.068 * [taylor]: Taking taylor expansion of 1/2 in x 6.068 * [backup-simplify]: Simplify 1/2 into 1/2 6.068 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.069 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.069 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.070 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.071 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.071 * [taylor]: Taking taylor expansion of 3/2 in x 6.071 * [backup-simplify]: Simplify 3/2 into 3/2 6.072 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 6.074 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 6.074 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.076 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 6.079 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 6.079 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in x 6.079 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 6.079 * [taylor]: Taking taylor expansion of 1 in x 6.079 * [backup-simplify]: Simplify 1 into 1 6.079 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 6.079 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 6.079 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.079 * [taylor]: Taking taylor expansion of 1/2 in x 6.079 * [backup-simplify]: Simplify 1/2 into 1/2 6.080 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.080 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.080 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.080 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.080 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.080 * [taylor]: Taking taylor expansion of 1 in x 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [taylor]: Taking taylor expansion of 1 in x 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.080 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.080 * [taylor]: Taking taylor expansion of -1 in x 6.080 * [backup-simplify]: Simplify -1 into -1 6.080 * [taylor]: Taking taylor expansion of x in x 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (/ -1 1) into -1 6.080 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.081 * [taylor]: Taking taylor expansion of -1 in x 6.081 * [backup-simplify]: Simplify -1 into -1 6.081 * [taylor]: Taking taylor expansion of x in x 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (/ -1 1) into -1 6.081 * [backup-simplify]: Simplify (* -1 -1) into 1 6.082 * [backup-simplify]: Simplify (+ 0 1) into 1 6.082 * [backup-simplify]: Simplify (sqrt 1) into 1 6.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.085 * [backup-simplify]: Simplify (+ 0 0) into 0 6.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.086 * [backup-simplify]: Simplify (/ 1 1) into 1 6.086 * [taylor]: Taking taylor expansion of 1/2 in x 6.086 * [backup-simplify]: Simplify 1/2 into 1/2 6.087 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.087 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.087 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.088 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.088 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.089 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.089 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.090 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.091 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.091 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 6.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.091 * [taylor]: Taking taylor expansion of 1/2 in x 6.091 * [backup-simplify]: Simplify 1/2 into 1/2 6.091 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.091 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.091 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.091 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.091 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.092 * [taylor]: Taking taylor expansion of 1 in x 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of 1 in x 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.092 * [taylor]: Taking taylor expansion of -1 in x 6.092 * [backup-simplify]: Simplify -1 into -1 6.092 * [taylor]: Taking taylor expansion of x in x 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (/ -1 1) into -1 6.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.092 * [taylor]: Taking taylor expansion of -1 in x 6.092 * [backup-simplify]: Simplify -1 into -1 6.092 * [taylor]: Taking taylor expansion of x in x 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (/ -1 1) into -1 6.093 * [backup-simplify]: Simplify (* -1 -1) into 1 6.094 * [backup-simplify]: Simplify (+ 0 1) into 1 6.094 * [backup-simplify]: Simplify (sqrt 1) into 1 6.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.098 * [backup-simplify]: Simplify (/ 1 1) into 1 6.098 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 6.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.098 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.098 * [taylor]: Taking taylor expansion of 1/2 in x 6.098 * [backup-simplify]: Simplify 1/2 into 1/2 6.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.098 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.098 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.098 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.098 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.098 * [taylor]: Taking taylor expansion of 1 in x 6.098 * [backup-simplify]: Simplify 1 into 1 6.098 * [taylor]: Taking taylor expansion of 1 in x 6.098 * [backup-simplify]: Simplify 1 into 1 6.098 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.098 * [taylor]: Taking taylor expansion of -1 in x 6.098 * [backup-simplify]: Simplify -1 into -1 6.098 * [taylor]: Taking taylor expansion of x in x 6.098 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 1 into 1 6.099 * [backup-simplify]: Simplify (/ -1 1) into -1 6.099 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.099 * [taylor]: Taking taylor expansion of -1 in x 6.099 * [backup-simplify]: Simplify -1 into -1 6.099 * [taylor]: Taking taylor expansion of x in x 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 1 into 1 6.100 * [backup-simplify]: Simplify (/ -1 1) into -1 6.100 * [backup-simplify]: Simplify (* -1 -1) into 1 6.100 * [backup-simplify]: Simplify (+ 0 1) into 1 6.101 * [backup-simplify]: Simplify (sqrt 1) into 1 6.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.103 * [backup-simplify]: Simplify (+ 0 0) into 0 6.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.104 * [backup-simplify]: Simplify (/ 1 1) into 1 6.105 * [taylor]: Taking taylor expansion of 1/2 in x 6.105 * [backup-simplify]: Simplify 1/2 into 1/2 6.105 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.105 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.106 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.106 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.108 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.108 * [taylor]: Taking taylor expansion of 3/2 in x 6.108 * [backup-simplify]: Simplify 3/2 into 3/2 6.109 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 6.110 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 6.111 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.113 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 6.116 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 6.118 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 6.120 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 6.124 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 6.124 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.126 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 6.128 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.144 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 6.166 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.167 * [backup-simplify]: Simplify (+ 0 0) into 0 6.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 6.174 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 6.177 * [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))) 6.182 * [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)))) 6.187 * [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)))) 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.189 * [backup-simplify]: Simplify (+ 0 0) into 0 6.192 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.194 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.199 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.276 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 6.406 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 6.563 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 (- x))) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/4 (/ (sqrt 1/8) (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2))))))))))))) 6.563 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 6.563 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 6.563 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 6.563 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 6.563 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 6.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.564 * [taylor]: Taking taylor expansion of 1/2 in x 6.564 * [backup-simplify]: Simplify 1/2 into 1/2 6.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.564 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.564 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.564 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.564 * [taylor]: Taking taylor expansion of 1 in x 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [taylor]: Taking taylor expansion of 1 in x 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [taylor]: Taking taylor expansion of (* x x) in x 6.564 * [taylor]: Taking taylor expansion of x in x 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [taylor]: Taking taylor expansion of x in x 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify (* 1 1) into 1 6.566 * [backup-simplify]: Simplify (* 0 0) into 0 6.566 * [backup-simplify]: Simplify (+ 1 0) into 1 6.566 * [backup-simplify]: Simplify (sqrt 1) into 1 6.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.568 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.570 * [backup-simplify]: Simplify (/ 1 1) into 1 6.570 * [taylor]: Taking taylor expansion of 1/2 in x 6.570 * [backup-simplify]: Simplify 1/2 into 1/2 6.570 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.571 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.571 * [backup-simplify]: Simplify (* 1 1) into 1 6.571 * [backup-simplify]: Simplify (* 1 1) into 1 6.572 * [backup-simplify]: Simplify (sqrt 1) into 1 6.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.574 * [backup-simplify]: Simplify (+ 0 0) into 0 6.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.576 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 6.576 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 6.576 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.576 * [taylor]: Taking taylor expansion of 1/2 in x 6.576 * [backup-simplify]: Simplify 1/2 into 1/2 6.576 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.576 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.576 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.576 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.576 * [taylor]: Taking taylor expansion of 1 in x 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [taylor]: Taking taylor expansion of 1 in x 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [taylor]: Taking taylor expansion of (* x x) in x 6.576 * [taylor]: Taking taylor expansion of x in x 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [taylor]: Taking taylor expansion of x in x 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (* 1 1) into 1 6.577 * [backup-simplify]: Simplify (* 0 0) into 0 6.578 * [backup-simplify]: Simplify (+ 1 0) into 1 6.578 * [backup-simplify]: Simplify (sqrt 1) into 1 6.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.580 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.580 * [backup-simplify]: Simplify (+ 0 0) into 0 6.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.581 * [backup-simplify]: Simplify (/ 1 1) into 1 6.581 * [taylor]: Taking taylor expansion of 1/2 in x 6.581 * [backup-simplify]: Simplify 1/2 into 1/2 6.582 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.582 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.583 * [backup-simplify]: Simplify (* 1 1) into 1 6.583 * [backup-simplify]: Simplify (* 1 1) into 1 6.584 * [backup-simplify]: Simplify (sqrt 1) into 1 6.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.586 * [backup-simplify]: Simplify (+ 0 0) into 0 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.592 * [backup-simplify]: Simplify (+ 0 1) into 1 6.593 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.597 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.597 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.598 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 6.599 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 6.601 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 6.601 * [backup-simplify]: Simplify -3/8 into -3/8 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.603 * [backup-simplify]: Simplify (+ 0 0) into 0 6.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 6.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 6.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 6.612 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.615 * [backup-simplify]: Simplify (+ 0 0) into 0 6.616 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.619 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.620 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.629 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 6.632 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 6.634 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 6.634 * [backup-simplify]: Simplify 39/128 into 39/128 6.634 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 6.634 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 6.635 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 6.635 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 6.635 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 6.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.635 * [taylor]: Taking taylor expansion of 1/2 in x 6.635 * [backup-simplify]: Simplify 1/2 into 1/2 6.635 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.635 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.635 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.635 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.635 * [taylor]: Taking taylor expansion of 1 in x 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [taylor]: Taking taylor expansion of 1 in x 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.635 * [taylor]: Taking taylor expansion of x in x 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify (/ 1 1) into 1 6.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.636 * [taylor]: Taking taylor expansion of x in x 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify (/ 1 1) into 1 6.637 * [backup-simplify]: Simplify (* 1 1) into 1 6.637 * [backup-simplify]: Simplify (+ 0 1) into 1 6.638 * [backup-simplify]: Simplify (sqrt 1) into 1 6.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.642 * [backup-simplify]: Simplify (/ 1 1) into 1 6.642 * [taylor]: Taking taylor expansion of 1/2 in x 6.642 * [backup-simplify]: Simplify 1/2 into 1/2 6.642 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.643 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.643 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.644 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.644 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.645 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.645 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.646 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.647 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.648 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 6.648 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 6.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.648 * [taylor]: Taking taylor expansion of 1/2 in x 6.648 * [backup-simplify]: Simplify 1/2 into 1/2 6.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.648 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.648 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.648 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.648 * [taylor]: Taking taylor expansion of 1 in x 6.648 * [backup-simplify]: Simplify 1 into 1 6.648 * [taylor]: Taking taylor expansion of 1 in x 6.648 * [backup-simplify]: Simplify 1 into 1 6.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.648 * [taylor]: Taking taylor expansion of x in x 6.648 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify 1 into 1 6.649 * [backup-simplify]: Simplify (/ 1 1) into 1 6.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.649 * [taylor]: Taking taylor expansion of x in x 6.649 * [backup-simplify]: Simplify 0 into 0 6.649 * [backup-simplify]: Simplify 1 into 1 6.649 * [backup-simplify]: Simplify (/ 1 1) into 1 6.650 * [backup-simplify]: Simplify (* 1 1) into 1 6.650 * [backup-simplify]: Simplify (+ 0 1) into 1 6.650 * [backup-simplify]: Simplify (sqrt 1) into 1 6.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.653 * [backup-simplify]: Simplify (+ 0 0) into 0 6.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.654 * [backup-simplify]: Simplify (/ 1 1) into 1 6.654 * [taylor]: Taking taylor expansion of 1/2 in x 6.654 * [backup-simplify]: Simplify 1/2 into 1/2 6.654 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.654 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.654 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.655 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.655 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.656 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.656 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.657 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.657 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.658 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 6.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.659 * [backup-simplify]: Simplify (+ 0 0) into 0 6.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 6.660 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 6.663 * [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))) 6.667 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 6.672 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 6.672 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 6.672 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 6.672 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 6.672 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 6.672 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.673 * [taylor]: Taking taylor expansion of 1/2 in x 6.673 * [backup-simplify]: Simplify 1/2 into 1/2 6.673 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.673 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.673 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.673 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.673 * [taylor]: Taking taylor expansion of 1 in x 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [taylor]: Taking taylor expansion of 1 in x 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.673 * [taylor]: Taking taylor expansion of -1 in x 6.673 * [backup-simplify]: Simplify -1 into -1 6.673 * [taylor]: Taking taylor expansion of x in x 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [backup-simplify]: Simplify (/ -1 1) into -1 6.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.673 * [taylor]: Taking taylor expansion of -1 in x 6.673 * [backup-simplify]: Simplify -1 into -1 6.673 * [taylor]: Taking taylor expansion of x in x 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [backup-simplify]: Simplify (/ -1 1) into -1 6.674 * [backup-simplify]: Simplify (* -1 -1) into 1 6.674 * [backup-simplify]: Simplify (+ 0 1) into 1 6.674 * [backup-simplify]: Simplify (sqrt 1) into 1 6.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.676 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.676 * [backup-simplify]: Simplify (+ 0 0) into 0 6.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.677 * [backup-simplify]: Simplify (/ 1 1) into 1 6.677 * [taylor]: Taking taylor expansion of 1/2 in x 6.677 * [backup-simplify]: Simplify 1/2 into 1/2 6.677 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.677 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.677 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.678 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.678 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.678 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.679 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.679 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.680 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.680 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 6.680 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 6.680 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.680 * [taylor]: Taking taylor expansion of 1/2 in x 6.680 * [backup-simplify]: Simplify 1/2 into 1/2 6.680 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.680 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.680 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.680 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.680 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.680 * [taylor]: Taking taylor expansion of 1 in x 6.680 * [backup-simplify]: Simplify 1 into 1 6.680 * [taylor]: Taking taylor expansion of 1 in x 6.680 * [backup-simplify]: Simplify 1 into 1 6.680 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.680 * [taylor]: Taking taylor expansion of -1 in x 6.680 * [backup-simplify]: Simplify -1 into -1 6.680 * [taylor]: Taking taylor expansion of x in x 6.680 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (/ -1 1) into -1 6.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.681 * [taylor]: Taking taylor expansion of -1 in x 6.681 * [backup-simplify]: Simplify -1 into -1 6.681 * [taylor]: Taking taylor expansion of x in x 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (/ -1 1) into -1 6.681 * [backup-simplify]: Simplify (* -1 -1) into 1 6.681 * [backup-simplify]: Simplify (+ 0 1) into 1 6.682 * [backup-simplify]: Simplify (sqrt 1) into 1 6.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.683 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.683 * [backup-simplify]: Simplify (+ 0 0) into 0 6.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.684 * [backup-simplify]: Simplify (/ 1 1) into 1 6.684 * [taylor]: Taking taylor expansion of 1/2 in x 6.684 * [backup-simplify]: Simplify 1/2 into 1/2 6.684 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.685 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.685 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.685 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.686 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.687 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.687 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.689 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.689 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.690 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 6.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.692 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 6.694 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 6.699 * [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))) 6.706 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 6.715 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 6.715 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.715 * [backup-simplify]: Simplify (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) 6.715 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in (x) around 0 6.715 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 6.715 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.715 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.715 * [taylor]: Taking taylor expansion of 1/2 in x 6.715 * [backup-simplify]: Simplify 1/2 into 1/2 6.715 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.715 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.715 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.715 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.715 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.715 * [taylor]: Taking taylor expansion of 1 in x 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [taylor]: Taking taylor expansion of 1 in x 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [taylor]: Taking taylor expansion of (* x x) in x 6.715 * [taylor]: Taking taylor expansion of x in x 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [taylor]: Taking taylor expansion of x in x 6.716 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (* 1 1) into 1 6.716 * [backup-simplify]: Simplify (* 0 0) into 0 6.717 * [backup-simplify]: Simplify (+ 1 0) into 1 6.717 * [backup-simplify]: Simplify (sqrt 1) into 1 6.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.718 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.718 * [backup-simplify]: Simplify (+ 0 0) into 0 6.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.719 * [backup-simplify]: Simplify (/ 1 1) into 1 6.719 * [taylor]: Taking taylor expansion of 1/2 in x 6.719 * [backup-simplify]: Simplify 1/2 into 1/2 6.720 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.720 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.720 * [backup-simplify]: Simplify (sqrt 1) into 1 6.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.722 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.723 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 6.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.723 * [taylor]: Taking taylor expansion of 1/2 in x 6.723 * [backup-simplify]: Simplify 1/2 into 1/2 6.723 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.723 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.723 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.723 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.723 * [taylor]: Taking taylor expansion of 1 in x 6.723 * [backup-simplify]: Simplify 1 into 1 6.723 * [taylor]: Taking taylor expansion of 1 in x 6.723 * [backup-simplify]: Simplify 1 into 1 6.723 * [taylor]: Taking taylor expansion of (* x x) in x 6.723 * [taylor]: Taking taylor expansion of x in x 6.723 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify 1 into 1 6.723 * [taylor]: Taking taylor expansion of x in x 6.723 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify 1 into 1 6.724 * [backup-simplify]: Simplify (* 1 1) into 1 6.724 * [backup-simplify]: Simplify (* 0 0) into 0 6.724 * [backup-simplify]: Simplify (+ 1 0) into 1 6.725 * [backup-simplify]: Simplify (sqrt 1) into 1 6.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.726 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.726 * [backup-simplify]: Simplify (+ 0 0) into 0 6.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.727 * [backup-simplify]: Simplify (/ 1 1) into 1 6.727 * [taylor]: Taking taylor expansion of 3/2 in x 6.727 * [backup-simplify]: Simplify 3/2 into 3/2 6.727 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 6.727 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.727 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.727 * [taylor]: Taking taylor expansion of 1/2 in x 6.727 * [backup-simplify]: Simplify 1/2 into 1/2 6.727 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.727 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.727 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.728 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.728 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.728 * [taylor]: Taking taylor expansion of 1 in x 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [taylor]: Taking taylor expansion of 1 in x 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [taylor]: Taking taylor expansion of (* x x) in x 6.728 * [taylor]: Taking taylor expansion of x in x 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [taylor]: Taking taylor expansion of x in x 6.728 * [backup-simplify]: Simplify 0 into 0 6.728 * [backup-simplify]: Simplify 1 into 1 6.728 * [backup-simplify]: Simplify (* 1 1) into 1 6.728 * [backup-simplify]: Simplify (* 0 0) into 0 6.729 * [backup-simplify]: Simplify (+ 1 0) into 1 6.729 * [backup-simplify]: Simplify (sqrt 1) into 1 6.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.730 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.731 * [backup-simplify]: Simplify (+ 0 0) into 0 6.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.732 * [backup-simplify]: Simplify (/ 1 1) into 1 6.732 * [taylor]: Taking taylor expansion of 1/2 in x 6.732 * [backup-simplify]: Simplify 1/2 into 1/2 6.732 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.733 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.733 * [backup-simplify]: Simplify (sqrt 1) into 1 6.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.735 * [backup-simplify]: Simplify (+ 0 0) into 0 6.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.735 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 6.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.736 * [taylor]: Taking taylor expansion of 1/2 in x 6.736 * [backup-simplify]: Simplify 1/2 into 1/2 6.736 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.736 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.736 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.736 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.736 * [taylor]: Taking taylor expansion of 1 in x 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [taylor]: Taking taylor expansion of 1 in x 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [taylor]: Taking taylor expansion of (* x x) in x 6.736 * [taylor]: Taking taylor expansion of x in x 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [taylor]: Taking taylor expansion of x in x 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (* 1 1) into 1 6.737 * [backup-simplify]: Simplify (* 0 0) into 0 6.737 * [backup-simplify]: Simplify (+ 1 0) into 1 6.738 * [backup-simplify]: Simplify (sqrt 1) into 1 6.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.739 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.739 * [backup-simplify]: Simplify (+ 0 0) into 0 6.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.740 * [backup-simplify]: Simplify (/ 1 1) into 1 6.740 * [taylor]: Taking taylor expansion of 3/2 in x 6.740 * [backup-simplify]: Simplify 3/2 into 3/2 6.740 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.741 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 6.741 * [backup-simplify]: Simplify (+ 1 2) into 3 6.741 * [backup-simplify]: Simplify 3 into 3 6.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify 0 into 0 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.753 * [backup-simplify]: Simplify (+ 0 1) into 1 6.754 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.757 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.757 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.758 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 6.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.761 * [backup-simplify]: Simplify (+ 0 1) into 1 6.762 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.764 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.765 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.765 * [backup-simplify]: Simplify (+ -1/8 -1/4) into -3/8 6.765 * [backup-simplify]: Simplify -3/8 into -3/8 6.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.768 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (+ 0 0) into 0 6.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 6.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.777 * [backup-simplify]: Simplify (+ 0 0) into 0 6.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.781 * [backup-simplify]: Simplify (+ 0 0) into 0 6.782 * [backup-simplify]: Simplify (+ 0 0) into 0 6.782 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.785 * [backup-simplify]: Simplify (+ 0 0) into 0 6.787 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.791 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.791 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.793 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 6.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.795 * [backup-simplify]: Simplify (+ 0 0) into 0 6.797 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.801 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.801 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.802 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 6.802 * [backup-simplify]: Simplify 35/128 into 35/128 6.802 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 3)) into (- (+ (* 35/128 (pow x 4)) 3) (* 3/8 (pow x 2))) 6.802 * [backup-simplify]: Simplify (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) 6.803 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in (x) around 0 6.803 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 6.803 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.803 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.803 * [taylor]: Taking taylor expansion of 1/2 in x 6.803 * [backup-simplify]: Simplify 1/2 into 1/2 6.803 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.803 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.803 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.803 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.803 * [taylor]: Taking taylor expansion of 1 in x 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of 1 in x 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.803 * [taylor]: Taking taylor expansion of x in x 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.804 * [backup-simplify]: Simplify (/ 1 1) into 1 6.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.804 * [taylor]: Taking taylor expansion of x in x 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 1 into 1 6.804 * [backup-simplify]: Simplify (/ 1 1) into 1 6.804 * [backup-simplify]: Simplify (* 1 1) into 1 6.805 * [backup-simplify]: Simplify (+ 0 1) into 1 6.805 * [backup-simplify]: Simplify (sqrt 1) into 1 6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.808 * [backup-simplify]: Simplify (+ 0 0) into 0 6.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.809 * [backup-simplify]: Simplify (/ 1 1) into 1 6.809 * [taylor]: Taking taylor expansion of 1/2 in x 6.809 * [backup-simplify]: Simplify 1/2 into 1/2 6.809 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.810 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.810 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.810 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.812 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.812 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 6.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.812 * [taylor]: Taking taylor expansion of 1/2 in x 6.812 * [backup-simplify]: Simplify 1/2 into 1/2 6.812 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.812 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.812 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.812 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.812 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.812 * [taylor]: Taking taylor expansion of 1 in x 6.812 * [backup-simplify]: Simplify 1 into 1 6.812 * [taylor]: Taking taylor expansion of 1 in x 6.812 * [backup-simplify]: Simplify 1 into 1 6.812 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.812 * [taylor]: Taking taylor expansion of x in x 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (/ 1 1) into 1 6.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.813 * [taylor]: Taking taylor expansion of x in x 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (/ 1 1) into 1 6.814 * [backup-simplify]: Simplify (* 1 1) into 1 6.814 * [backup-simplify]: Simplify (+ 0 1) into 1 6.814 * [backup-simplify]: Simplify (sqrt 1) into 1 6.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.817 * [backup-simplify]: Simplify (+ 0 0) into 0 6.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.818 * [backup-simplify]: Simplify (/ 1 1) into 1 6.818 * [taylor]: Taking taylor expansion of 3/2 in x 6.818 * [backup-simplify]: Simplify 3/2 into 3/2 6.818 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 6.818 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.818 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.818 * [taylor]: Taking taylor expansion of 1/2 in x 6.818 * [backup-simplify]: Simplify 1/2 into 1/2 6.818 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.818 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.818 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.818 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.818 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.818 * [taylor]: Taking taylor expansion of 1 in x 6.818 * [backup-simplify]: Simplify 1 into 1 6.818 * [taylor]: Taking taylor expansion of 1 in x 6.818 * [backup-simplify]: Simplify 1 into 1 6.818 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.818 * [taylor]: Taking taylor expansion of x in x 6.818 * [backup-simplify]: Simplify 0 into 0 6.818 * [backup-simplify]: Simplify 1 into 1 6.819 * [backup-simplify]: Simplify (/ 1 1) into 1 6.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.819 * [taylor]: Taking taylor expansion of x in x 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 1 into 1 6.819 * [backup-simplify]: Simplify (/ 1 1) into 1 6.819 * [backup-simplify]: Simplify (* 1 1) into 1 6.820 * [backup-simplify]: Simplify (+ 0 1) into 1 6.820 * [backup-simplify]: Simplify (sqrt 1) into 1 6.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.823 * [backup-simplify]: Simplify (+ 0 0) into 0 6.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.824 * [backup-simplify]: Simplify (/ 1 1) into 1 6.824 * [taylor]: Taking taylor expansion of 1/2 in x 6.824 * [backup-simplify]: Simplify 1/2 into 1/2 6.824 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.825 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.825 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.826 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.827 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.827 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 6.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.827 * [taylor]: Taking taylor expansion of 1/2 in x 6.827 * [backup-simplify]: Simplify 1/2 into 1/2 6.827 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.827 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.827 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.827 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.827 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.827 * [taylor]: Taking taylor expansion of 1 in x 6.828 * [backup-simplify]: Simplify 1 into 1 6.828 * [taylor]: Taking taylor expansion of 1 in x 6.828 * [backup-simplify]: Simplify 1 into 1 6.828 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.828 * [taylor]: Taking taylor expansion of x in x 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify 1 into 1 6.828 * [backup-simplify]: Simplify (/ 1 1) into 1 6.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.828 * [taylor]: Taking taylor expansion of x in x 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify 1 into 1 6.829 * [backup-simplify]: Simplify (/ 1 1) into 1 6.829 * [backup-simplify]: Simplify (* 1 1) into 1 6.829 * [backup-simplify]: Simplify (+ 0 1) into 1 6.830 * [backup-simplify]: Simplify (sqrt 1) into 1 6.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.832 * [backup-simplify]: Simplify (+ 0 0) into 0 6.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.834 * [backup-simplify]: Simplify (/ 1 1) into 1 6.834 * [taylor]: Taking taylor expansion of 3/2 in x 6.834 * [backup-simplify]: Simplify 3/2 into 3/2 6.834 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 6.835 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.836 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.836 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.837 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.838 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.841 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.843 * [backup-simplify]: Simplify (+ 0 0) into 0 6.849 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.851 * [backup-simplify]: Simplify (+ 0 0) into 0 6.853 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.857 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.864 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (/ 1 x)) (+ (sqrt 1/2) 3/2))) into (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 3/2))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 6.864 * [backup-simplify]: Simplify (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) 6.864 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in (x) around 0 6.864 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 6.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.864 * [taylor]: Taking taylor expansion of 1/2 in x 6.864 * [backup-simplify]: Simplify 1/2 into 1/2 6.864 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.864 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.865 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.865 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.865 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.865 * [taylor]: Taking taylor expansion of 1 in x 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [taylor]: Taking taylor expansion of 1 in x 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.865 * [taylor]: Taking taylor expansion of -1 in x 6.865 * [backup-simplify]: Simplify -1 into -1 6.865 * [taylor]: Taking taylor expansion of x in x 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [backup-simplify]: Simplify (/ -1 1) into -1 6.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.865 * [taylor]: Taking taylor expansion of -1 in x 6.865 * [backup-simplify]: Simplify -1 into -1 6.866 * [taylor]: Taking taylor expansion of x in x 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (/ -1 1) into -1 6.866 * [backup-simplify]: Simplify (* -1 -1) into 1 6.867 * [backup-simplify]: Simplify (+ 0 1) into 1 6.867 * [backup-simplify]: Simplify (sqrt 1) into 1 6.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.870 * [backup-simplify]: Simplify (+ 0 0) into 0 6.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.871 * [backup-simplify]: Simplify (/ 1 1) into 1 6.871 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 6.871 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.871 * [taylor]: Taking taylor expansion of 1/2 in x 6.871 * [backup-simplify]: Simplify 1/2 into 1/2 6.871 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.871 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.872 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.872 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.872 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.872 * [taylor]: Taking taylor expansion of 1 in x 6.872 * [backup-simplify]: Simplify 1 into 1 6.872 * [taylor]: Taking taylor expansion of 1 in x 6.872 * [backup-simplify]: Simplify 1 into 1 6.872 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.872 * [taylor]: Taking taylor expansion of -1 in x 6.872 * [backup-simplify]: Simplify -1 into -1 6.872 * [taylor]: Taking taylor expansion of x in x 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify 1 into 1 6.872 * [backup-simplify]: Simplify (/ -1 1) into -1 6.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.872 * [taylor]: Taking taylor expansion of -1 in x 6.872 * [backup-simplify]: Simplify -1 into -1 6.872 * [taylor]: Taking taylor expansion of x in x 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [backup-simplify]: Simplify (/ -1 1) into -1 6.873 * [backup-simplify]: Simplify (* -1 -1) into 1 6.874 * [backup-simplify]: Simplify (+ 0 1) into 1 6.874 * [backup-simplify]: Simplify (sqrt 1) into 1 6.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.876 * [backup-simplify]: Simplify (/ 1 1) into 1 6.876 * [taylor]: Taking taylor expansion of 1/2 in x 6.876 * [backup-simplify]: Simplify 1/2 into 1/2 6.877 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.877 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.877 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.878 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.879 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.879 * [taylor]: Taking taylor expansion of 3/2 in x 6.879 * [backup-simplify]: Simplify 3/2 into 3/2 6.879 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 6.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.879 * [taylor]: Taking taylor expansion of 1/2 in x 6.879 * [backup-simplify]: Simplify 1/2 into 1/2 6.879 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.879 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.879 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.879 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.879 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.879 * [taylor]: Taking taylor expansion of 1 in x 6.880 * [backup-simplify]: Simplify 1 into 1 6.880 * [taylor]: Taking taylor expansion of 1 in x 6.880 * [backup-simplify]: Simplify 1 into 1 6.880 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.880 * [taylor]: Taking taylor expansion of -1 in x 6.880 * [backup-simplify]: Simplify -1 into -1 6.880 * [taylor]: Taking taylor expansion of x in x 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.880 * [backup-simplify]: Simplify (/ -1 1) into -1 6.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.880 * [taylor]: Taking taylor expansion of -1 in x 6.880 * [backup-simplify]: Simplify -1 into -1 6.880 * [taylor]: Taking taylor expansion of x in x 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.881 * [backup-simplify]: Simplify (/ -1 1) into -1 6.881 * [backup-simplify]: Simplify (* -1 -1) into 1 6.881 * [backup-simplify]: Simplify (+ 0 1) into 1 6.882 * [backup-simplify]: Simplify (sqrt 1) into 1 6.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.884 * [backup-simplify]: Simplify (+ 0 0) into 0 6.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.885 * [backup-simplify]: Simplify (/ 1 1) into 1 6.885 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 6.885 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.885 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.885 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.885 * [taylor]: Taking taylor expansion of 1/2 in x 6.885 * [backup-simplify]: Simplify 1/2 into 1/2 6.885 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.885 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.885 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.886 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.886 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.886 * [taylor]: Taking taylor expansion of 1 in x 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [taylor]: Taking taylor expansion of 1 in x 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.886 * [taylor]: Taking taylor expansion of -1 in x 6.886 * [backup-simplify]: Simplify -1 into -1 6.886 * [taylor]: Taking taylor expansion of x in x 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (/ -1 1) into -1 6.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.886 * [taylor]: Taking taylor expansion of -1 in x 6.886 * [backup-simplify]: Simplify -1 into -1 6.886 * [taylor]: Taking taylor expansion of x in x 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.887 * [backup-simplify]: Simplify (/ -1 1) into -1 6.887 * [backup-simplify]: Simplify (* -1 -1) into 1 6.887 * [backup-simplify]: Simplify (+ 0 1) into 1 6.888 * [backup-simplify]: Simplify (sqrt 1) into 1 6.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.890 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.890 * [backup-simplify]: Simplify (+ 0 0) into 0 6.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.897 * [backup-simplify]: Simplify (/ 1 1) into 1 6.897 * [taylor]: Taking taylor expansion of 1/2 in x 6.897 * [backup-simplify]: Simplify 1/2 into 1/2 6.897 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.898 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.898 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.899 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.900 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.900 * [taylor]: Taking taylor expansion of 3/2 in x 6.900 * [backup-simplify]: Simplify 3/2 into 3/2 6.901 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.902 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 6.903 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.903 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.905 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 6.907 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.909 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.913 * [backup-simplify]: Simplify (+ 0 0) into 0 6.917 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.920 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.924 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.927 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.935 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (/ 1 (- x))) (+ (sqrt 1/2) 3/2))) into (- (+ (sqrt 1/2) 3/2) (+ (* 1/2 (/ 1 x)) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) 6.935 * * * [progress]: simplifying candidates 6.935 * * * * [progress]: [ 1 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 2 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 3 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 4 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 5 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 6 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 7 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 8 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 9 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 10 / 165 ] simplifiying candidate # 6.935 * * * * [progress]: [ 11 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 12 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 13 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 14 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 15 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 16 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 17 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 18 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 19 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 20 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 21 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 22 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 23 / 165 ] simplifiying candidate #real (real->posit16 (- 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) (+ 1/2 (/ 1/2 (hypot 1 x))))))> 6.936 * * * * [progress]: [ 24 / 165 ] simplifiying candidate # 6.936 * * * * [progress]: [ 25 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 26 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 27 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 28 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 29 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 30 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 31 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 32 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 33 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 34 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 35 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 36 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 37 / 165 ] simplifiying candidate # 6.937 * * * * [progress]: [ 38 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 39 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 40 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 41 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 42 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 43 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 44 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 45 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 46 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 47 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 48 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 49 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 50 / 165 ] simplifiying candidate # 6.938 * * * * [progress]: [ 51 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 52 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 53 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 54 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 55 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 56 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 57 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 58 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 59 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 60 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 61 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 62 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 63 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 64 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 65 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 66 / 165 ] simplifiying candidate # 6.939 * * * * [progress]: [ 67 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 68 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 69 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 70 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 71 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 72 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 73 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 74 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 75 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 76 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 77 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 78 / 165 ] simplifiying candidate #real (real->posit16 (/ (- 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) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 6.940 * * * * [progress]: [ 79 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 80 / 165 ] simplifiying candidate # 6.940 * * * * [progress]: [ 81 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 82 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 83 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 84 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 85 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 86 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 87 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 88 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 89 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 90 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 91 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 92 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 93 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 94 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 95 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 96 / 165 ] simplifiying candidate # 6.941 * * * * [progress]: [ 97 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 98 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 99 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 100 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 101 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 102 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 103 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 104 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 105 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 106 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 107 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 108 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 109 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 110 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 111 / 165 ] simplifiying candidate # 6.942 * * * * [progress]: [ 112 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 113 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 114 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 115 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 116 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 117 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 118 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 119 / 165 ] simplifiying candidate #real (real->posit16 (* (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))))))> 6.943 * * * * [progress]: [ 120 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 121 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 122 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 123 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 124 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 125 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 126 / 165 ] simplifiying candidate # 6.943 * * * * [progress]: [ 127 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 128 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 129 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 130 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 131 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 132 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 133 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 134 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 135 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 136 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 137 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 138 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 139 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 140 / 165 ] simplifiying candidate # 6.944 * * * * [progress]: [ 141 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 142 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 143 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 144 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 145 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 146 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 147 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 148 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 149 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 150 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 151 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 152 / 165 ] simplifiying candidate #real (real->posit16 (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 6.945 * * * * [progress]: [ 153 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 154 / 165 ] simplifiying candidate # 6.945 * * * * [progress]: [ 155 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 156 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 157 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 158 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 159 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 160 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 161 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 162 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 163 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 164 / 165 ] simplifiying candidate # 6.946 * * * * [progress]: [ 165 / 165 ] simplifiying candidate # 6.951 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 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1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/4 (/ (sqrt 1/8) (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2))))))))))))) (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) (- (+ (* 35/128 (pow x 4)) 3) (* 3/8 (pow x 2))) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 3/2))) (* 1/32 (/ 1 (* (pow x 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(sqrt 1/8)) (/ (/ 3/16 (sqrt 1/8)) (* x x)))) (- (fma 1/8 (* x x) (* (* 69/1024 (* x (* x x))) (* x (* x x)))) (* (* (* x x) (* x x)) 11/128)) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (+ (/ 1/4 (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2)))) (- (+ (+ (fma (/ (sqrt 1/8) (* (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))) x)) 1/2 (/ (/ 1/4 (* (* x x) (sqrt 1/2))) (* (+ 3/2 (sqrt 1/2)) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2)))))) (+ (+ (/ (/ 1/16 (* (* x x) 1/2)) (* (+ 3/2 (sqrt 1/2)) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))))) (/ (/ 9/512 (* x x)) (* (+ 3/2 (sqrt 1/2)) (* 1/8 (sqrt 1/8))))) (fma 1/4 (/ (/ (sqrt 1/8) x) (* (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))) (sqrt 1/2))) (/ (/ 1/32 (* (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))) (* 1/2 (sqrt 1/2)))) (* x x))))) (+ (/ 3/32 (* (* (* x x) (sqrt 1/8)) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))))) (/ 3/64 (* (* (* (* x x) (sqrt 1/8)) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2)))) (sqrt 1/2))))) (+ (fma 1/16 (/ (sqrt 1/8) (* (* (* (* x 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(sqrt 1/2) (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2)))))) (/ 1/16 (* (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) 1/2))) (+ (+ (/ (/ 1/4 (* (sqrt 1/2) x)) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2)))) (/ (/ 3/16 (* (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) x)) (+ (/ (/ 1/32 (* (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))) (* 1/2 (sqrt 1/2)))) (* x x)) (/ (/ 9/512 (* x x)) (* (+ 3/2 (sqrt 1/2)) (* 1/8 (sqrt 1/8))))))) (/ (/ 1/2 x) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2)))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (fma (/ (sqrt 1/8) (* (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) 1/2)) 1/16 (fma 1/4 (/ (/ (sqrt 1/8) x) (* (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))) (sqrt 1/2))) (+ (+ (/ (/ 1/4 (/ (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))) (sqrt 1/2)) (fma (/ (sqrt 1/8) (* (* 1/2 (sqrt 1/2)) (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))))) 1/32 (/ 1/4 (/ (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))))) (/ (/ (* 1/2 (sqrt 1/8)) x) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))))))) (/ (/ 3/16 (* x x)) (* (+ 3/2 (sqrt 1/2)) (sqrt 1/8)))))) (fma (* (* x x) (* x x)) 39/128 (- 1 (* x (* x 3/8)))) (+ (/ (/ 3/16 (sqrt 1/8)) (* x x)) (+ (sqrt 1/8) (- (/ (/ 3/16 (sqrt 1/8)) x) (/ (/ 9/512 (* 1/8 (sqrt 1/8))) (* x x))))) (- (+ (/ (/ 3/16 (sqrt 1/8)) (* x x)) (- (sqrt 1/8) (/ (/ 9/512 (* 1/8 (sqrt 1/8))) (* x x)))) (/ (/ 3/16 (sqrt 1/8)) x)) (- (fma (* (* x x) (* x x)) 35/128 3) (* x (* x 3/8))) (+ (/ 1/2 x) (+ (/ (/ 1/4 (sqrt 1/2)) x) (- (+ 3/2 (sqrt 1/2)) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))))) (+ (sqrt 1/2) (- (- 3/2 (/ 1/2 x)) (+ (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) (/ (/ 1/4 (sqrt 1/2)) x)))) 10.065 * * * [progress]: adding candidates to table 10.935 * * [progress]: iteration 3 / 4 10.935 * * * [progress]: picking best candidate 10.946 * * * * [pick]: Picked # 10.946 * * * [progress]: localizing error 10.988 * * * [progress]: generating rewritten candidates 10.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.993 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 10.993 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.010 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 11.077 * * * [progress]: generating series expansions 11.077 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 11.077 * [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))) 11.077 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 11.077 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 11.077 * [taylor]: Taking taylor expansion of 1 in x 11.077 * [backup-simplify]: Simplify 1 into 1 11.077 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 11.077 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 11.077 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.077 * [taylor]: Taking taylor expansion of 1/2 in x 11.077 * [backup-simplify]: Simplify 1/2 into 1/2 11.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.078 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.078 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.078 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.078 * [taylor]: Taking taylor expansion of 1 in x 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [taylor]: Taking taylor expansion of 1 in x 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [taylor]: Taking taylor expansion of (* x x) in x 11.078 * [taylor]: Taking taylor expansion of x in x 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [taylor]: Taking taylor expansion of x in x 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify 1 into 1 11.079 * [backup-simplify]: Simplify (* 1 1) into 1 11.079 * [backup-simplify]: Simplify (* 0 0) into 0 11.080 * [backup-simplify]: Simplify (+ 1 0) into 1 11.080 * [backup-simplify]: Simplify (sqrt 1) into 1 11.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.082 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.082 * [backup-simplify]: Simplify (+ 0 0) into 0 11.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.083 * [backup-simplify]: Simplify (/ 1 1) into 1 11.083 * [taylor]: Taking taylor expansion of 1/2 in x 11.083 * [backup-simplify]: Simplify 1/2 into 1/2 11.083 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.084 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.084 * [backup-simplify]: Simplify (* 1 1) into 1 11.085 * [backup-simplify]: Simplify (* 1 1) into 1 11.085 * [backup-simplify]: Simplify (sqrt 1) into 1 11.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.087 * [backup-simplify]: Simplify (+ 0 0) into 0 11.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.089 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 11.089 * [taylor]: Taking taylor expansion of 1 in x 11.089 * [backup-simplify]: Simplify 1 into 1 11.089 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 11.089 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 11.090 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.090 * [taylor]: Taking taylor expansion of 1/2 in x 11.090 * [backup-simplify]: Simplify 1/2 into 1/2 11.090 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.090 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.090 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.090 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.090 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.090 * [taylor]: Taking taylor expansion of 1 in x 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [taylor]: Taking taylor expansion of 1 in x 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [taylor]: Taking taylor expansion of (* x x) in x 11.090 * [taylor]: Taking taylor expansion of x in x 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [taylor]: Taking taylor expansion of x in x 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [backup-simplify]: Simplify (* 1 1) into 1 11.091 * [backup-simplify]: Simplify (* 0 0) into 0 11.091 * [backup-simplify]: Simplify (+ 1 0) into 1 11.092 * [backup-simplify]: Simplify (sqrt 1) into 1 11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.093 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.094 * [backup-simplify]: Simplify (+ 0 0) into 0 11.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.095 * [backup-simplify]: Simplify (/ 1 1) into 1 11.095 * [taylor]: Taking taylor expansion of 1/2 in x 11.095 * [backup-simplify]: Simplify 1/2 into 1/2 11.095 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.096 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.096 * [backup-simplify]: Simplify (* 1 1) into 1 11.097 * [backup-simplify]: Simplify (* 1 1) into 1 11.097 * [backup-simplify]: Simplify (sqrt 1) into 1 11.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.099 * [backup-simplify]: Simplify (+ 0 0) into 0 11.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.101 * [backup-simplify]: Simplify (- 1) into -1 11.102 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.102 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify (- 0) into 0 11.102 * [backup-simplify]: Simplify (+ 0 0) into 0 11.102 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.105 * [backup-simplify]: Simplify (+ 0 1) into 1 11.105 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.107 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.107 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.108 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 11.108 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 11.109 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 11.109 * [backup-simplify]: Simplify (- -3/8) into 3/8 11.109 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 11.109 * [backup-simplify]: Simplify 3/8 into 3/8 11.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.111 * [backup-simplify]: Simplify (+ 0 0) into 0 11.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.113 * [backup-simplify]: Simplify (+ 0 0) into 0 11.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 11.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 11.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 11.119 * [backup-simplify]: Simplify (- 0) into 0 11.120 * [backup-simplify]: Simplify (+ 0 0) into 0 11.120 * [backup-simplify]: Simplify 0 into 0 11.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.121 * [backup-simplify]: Simplify (+ 0 0) into 0 11.122 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.124 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.124 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.125 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 11.126 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 11.127 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 11.127 * [backup-simplify]: Simplify (- 39/128) into -39/128 11.128 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 11.128 * [backup-simplify]: Simplify -39/128 into -39/128 11.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.130 * [backup-simplify]: Simplify (+ 0 0) into 0 11.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 11.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 11.133 * [backup-simplify]: Simplify (+ 0 0) into 0 11.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 11.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 11.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 11.140 * [backup-simplify]: Simplify (- 0) into 0 11.141 * [backup-simplify]: Simplify (+ 0 0) into 0 11.141 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.144 * [backup-simplify]: Simplify (+ 0 0) into 0 11.146 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 11.148 * [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 11.151 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 11.151 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 11.154 * [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 11.157 * [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 11.159 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 11.159 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 11.160 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 11.160 * [backup-simplify]: Simplify 275/1024 into 275/1024 11.160 * [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))) 11.161 * [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))) 11.161 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 11.161 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 11.161 * [taylor]: Taking taylor expansion of 1 in x 11.161 * [backup-simplify]: Simplify 1 into 1 11.161 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 11.161 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 11.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.161 * [taylor]: Taking taylor expansion of 1/2 in x 11.161 * [backup-simplify]: Simplify 1/2 into 1/2 11.161 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.161 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.161 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.161 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.161 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.161 * [taylor]: Taking taylor expansion of 1 in x 11.161 * [backup-simplify]: Simplify 1 into 1 11.161 * [taylor]: Taking taylor expansion of 1 in x 11.161 * [backup-simplify]: Simplify 1 into 1 11.161 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.161 * [taylor]: Taking taylor expansion of x in x 11.161 * [backup-simplify]: Simplify 0 into 0 11.162 * [backup-simplify]: Simplify 1 into 1 11.162 * [backup-simplify]: Simplify (/ 1 1) into 1 11.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.162 * [taylor]: Taking taylor expansion of x in x 11.162 * [backup-simplify]: Simplify 0 into 0 11.162 * [backup-simplify]: Simplify 1 into 1 11.162 * [backup-simplify]: Simplify (/ 1 1) into 1 11.163 * [backup-simplify]: Simplify (* 1 1) into 1 11.163 * [backup-simplify]: Simplify (+ 0 1) into 1 11.164 * [backup-simplify]: Simplify (sqrt 1) into 1 11.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.166 * [backup-simplify]: Simplify (+ 0 0) into 0 11.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.167 * [backup-simplify]: Simplify (/ 1 1) into 1 11.167 * [taylor]: Taking taylor expansion of 1/2 in x 11.167 * [backup-simplify]: Simplify 1/2 into 1/2 11.168 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.168 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 11.169 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 11.169 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 11.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.170 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 11.171 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 11.173 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 11.173 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 11.173 * [taylor]: Taking taylor expansion of 1 in x 11.173 * [backup-simplify]: Simplify 1 into 1 11.173 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 11.173 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 11.173 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.173 * [taylor]: Taking taylor expansion of 1/2 in x 11.173 * [backup-simplify]: Simplify 1/2 into 1/2 11.173 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.173 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.173 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.173 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.173 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.173 * [taylor]: Taking taylor expansion of 1 in x 11.173 * [backup-simplify]: Simplify 1 into 1 11.173 * [taylor]: Taking taylor expansion of 1 in x 11.173 * [backup-simplify]: Simplify 1 into 1 11.173 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.173 * [taylor]: Taking taylor expansion of x in x 11.173 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify 1 into 1 11.174 * [backup-simplify]: Simplify (/ 1 1) into 1 11.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.174 * [taylor]: Taking taylor expansion of x in x 11.174 * [backup-simplify]: Simplify 0 into 0 11.174 * [backup-simplify]: Simplify 1 into 1 11.174 * [backup-simplify]: Simplify (/ 1 1) into 1 11.175 * [backup-simplify]: Simplify (* 1 1) into 1 11.175 * [backup-simplify]: Simplify (+ 0 1) into 1 11.176 * [backup-simplify]: Simplify (sqrt 1) into 1 11.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.179 * [backup-simplify]: Simplify (+ 0 0) into 0 11.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.180 * [backup-simplify]: Simplify (/ 1 1) into 1 11.180 * [taylor]: Taking taylor expansion of 1/2 in x 11.180 * [backup-simplify]: Simplify 1/2 into 1/2 11.180 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.181 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 11.181 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 11.182 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 11.182 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.182 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.183 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 11.183 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 11.185 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 11.186 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 11.187 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 11.188 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 11.190 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 11.193 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 11.196 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 11.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.198 * [backup-simplify]: Simplify (+ 0 0) into 0 11.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 11.200 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 11.205 * [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))) 11.214 * [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)))) 11.222 * [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)))) 11.228 * [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)))) 11.235 * [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)))) 11.236 * [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))) 11.236 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 11.236 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 11.236 * [taylor]: Taking taylor expansion of 1 in x 11.236 * [backup-simplify]: Simplify 1 into 1 11.236 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 11.236 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 11.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.236 * [taylor]: Taking taylor expansion of 1/2 in x 11.236 * [backup-simplify]: Simplify 1/2 into 1/2 11.236 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.236 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.236 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.236 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.236 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.236 * [taylor]: Taking taylor expansion of 1 in x 11.236 * [backup-simplify]: Simplify 1 into 1 11.236 * [taylor]: Taking taylor expansion of 1 in x 11.236 * [backup-simplify]: Simplify 1 into 1 11.236 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.236 * [taylor]: Taking taylor expansion of -1 in x 11.236 * [backup-simplify]: Simplify -1 into -1 11.236 * [taylor]: Taking taylor expansion of x in x 11.236 * [backup-simplify]: Simplify 0 into 0 11.236 * [backup-simplify]: Simplify 1 into 1 11.237 * [backup-simplify]: Simplify (/ -1 1) into -1 11.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.237 * [taylor]: Taking taylor expansion of -1 in x 11.237 * [backup-simplify]: Simplify -1 into -1 11.237 * [taylor]: Taking taylor expansion of x in x 11.237 * [backup-simplify]: Simplify 0 into 0 11.237 * [backup-simplify]: Simplify 1 into 1 11.237 * [backup-simplify]: Simplify (/ -1 1) into -1 11.237 * [backup-simplify]: Simplify (* -1 -1) into 1 11.237 * [backup-simplify]: Simplify (+ 0 1) into 1 11.238 * [backup-simplify]: Simplify (sqrt 1) into 1 11.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.239 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.239 * [backup-simplify]: Simplify (+ 0 0) into 0 11.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.240 * [backup-simplify]: Simplify (/ 1 1) into 1 11.240 * [taylor]: Taking taylor expansion of 1/2 in x 11.240 * [backup-simplify]: Simplify 1/2 into 1/2 11.240 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.240 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 11.241 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 11.241 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 11.241 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.241 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.242 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 11.242 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 11.248 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 11.248 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 11.248 * [taylor]: Taking taylor expansion of 1 in x 11.248 * [backup-simplify]: Simplify 1 into 1 11.248 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 11.248 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 11.248 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.248 * [taylor]: Taking taylor expansion of 1/2 in x 11.248 * [backup-simplify]: Simplify 1/2 into 1/2 11.248 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.248 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.248 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.248 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.248 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.248 * [taylor]: Taking taylor expansion of 1 in x 11.248 * [backup-simplify]: Simplify 1 into 1 11.248 * [taylor]: Taking taylor expansion of 1 in x 11.248 * [backup-simplify]: Simplify 1 into 1 11.248 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.248 * [taylor]: Taking taylor expansion of -1 in x 11.248 * [backup-simplify]: Simplify -1 into -1 11.248 * [taylor]: Taking taylor expansion of x in x 11.248 * [backup-simplify]: Simplify 0 into 0 11.248 * [backup-simplify]: Simplify 1 into 1 11.249 * [backup-simplify]: Simplify (/ -1 1) into -1 11.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.249 * [taylor]: Taking taylor expansion of -1 in x 11.249 * [backup-simplify]: Simplify -1 into -1 11.249 * [taylor]: Taking taylor expansion of x in x 11.249 * [backup-simplify]: Simplify 0 into 0 11.249 * [backup-simplify]: Simplify 1 into 1 11.249 * [backup-simplify]: Simplify (/ -1 1) into -1 11.249 * [backup-simplify]: Simplify (* -1 -1) into 1 11.250 * [backup-simplify]: Simplify (+ 0 1) into 1 11.250 * [backup-simplify]: Simplify (sqrt 1) into 1 11.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.251 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.251 * [backup-simplify]: Simplify (+ 0 0) into 0 11.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.252 * [backup-simplify]: Simplify (/ 1 1) into 1 11.252 * [taylor]: Taking taylor expansion of 1/2 in x 11.252 * [backup-simplify]: Simplify 1/2 into 1/2 11.252 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.253 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 11.253 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 11.253 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 11.253 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.254 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.254 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 11.254 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 11.255 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 11.256 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 11.257 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 11.257 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 11.258 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 11.260 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 11.262 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 11.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.263 * [backup-simplify]: Simplify (+ 0 0) into 0 11.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 11.264 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 11.269 * [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))) 11.279 * [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)))) 11.287 * [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)))) 11.292 * [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)))) 11.298 * [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))) 11.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 11.298 * [backup-simplify]: Simplify (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 11.299 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 11.299 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.299 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 11.299 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 11.299 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.299 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.299 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.299 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.299 * [taylor]: Taking taylor expansion of 1/2 in x 11.299 * [backup-simplify]: Simplify 1/2 into 1/2 11.299 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.299 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.299 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.299 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.299 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.299 * [taylor]: Taking taylor expansion of 1 in x 11.299 * [backup-simplify]: Simplify 1 into 1 11.299 * [taylor]: Taking taylor expansion of 1 in x 11.299 * [backup-simplify]: Simplify 1 into 1 11.299 * [taylor]: Taking taylor expansion of (* x x) in x 11.299 * [taylor]: Taking taylor expansion of x in x 11.299 * [backup-simplify]: Simplify 0 into 0 11.299 * [backup-simplify]: Simplify 1 into 1 11.299 * [taylor]: Taking taylor expansion of x in x 11.299 * [backup-simplify]: Simplify 0 into 0 11.299 * [backup-simplify]: Simplify 1 into 1 11.299 * [backup-simplify]: Simplify (* 1 1) into 1 11.300 * [backup-simplify]: Simplify (* 0 0) into 0 11.300 * [backup-simplify]: Simplify (+ 1 0) into 1 11.300 * [backup-simplify]: Simplify (sqrt 1) into 1 11.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.301 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.301 * [backup-simplify]: Simplify (+ 0 0) into 0 11.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.302 * [backup-simplify]: Simplify (/ 1 1) into 1 11.302 * [taylor]: Taking taylor expansion of 1/2 in x 11.302 * [backup-simplify]: Simplify 1/2 into 1/2 11.302 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.302 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.302 * [backup-simplify]: Simplify (sqrt 1) into 1 11.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.304 * [backup-simplify]: Simplify (+ 0 0) into 0 11.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.304 * [taylor]: Taking taylor expansion of 1 in x 11.304 * [backup-simplify]: Simplify 1 into 1 11.304 * [backup-simplify]: Simplify (+ 1 1) into 2 11.305 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.305 * [backup-simplify]: Simplify (+ 0 0) into 0 11.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.305 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.305 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.305 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.305 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.305 * [taylor]: Taking taylor expansion of 1/2 in x 11.305 * [backup-simplify]: Simplify 1/2 into 1/2 11.305 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.305 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.305 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.305 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.305 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.305 * [taylor]: Taking taylor expansion of 1 in x 11.305 * [backup-simplify]: Simplify 1 into 1 11.305 * [taylor]: Taking taylor expansion of 1 in x 11.305 * [backup-simplify]: Simplify 1 into 1 11.306 * [taylor]: Taking taylor expansion of (* x x) in x 11.306 * [taylor]: Taking taylor expansion of x in x 11.306 * [backup-simplify]: Simplify 0 into 0 11.306 * [backup-simplify]: Simplify 1 into 1 11.306 * [taylor]: Taking taylor expansion of x in x 11.306 * [backup-simplify]: Simplify 0 into 0 11.306 * [backup-simplify]: Simplify 1 into 1 11.306 * [backup-simplify]: Simplify (* 1 1) into 1 11.306 * [backup-simplify]: Simplify (* 0 0) into 0 11.306 * [backup-simplify]: Simplify (+ 1 0) into 1 11.307 * [backup-simplify]: Simplify (sqrt 1) into 1 11.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.307 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.308 * [backup-simplify]: Simplify (+ 0 0) into 0 11.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.308 * [backup-simplify]: Simplify (/ 1 1) into 1 11.308 * [taylor]: Taking taylor expansion of 1/2 in x 11.308 * [backup-simplify]: Simplify 1/2 into 1/2 11.309 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.309 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.309 * [backup-simplify]: Simplify (sqrt 1) into 1 11.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.310 * [backup-simplify]: Simplify (+ 0 0) into 0 11.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.311 * [taylor]: Taking taylor expansion of 1 in x 11.311 * [backup-simplify]: Simplify 1 into 1 11.311 * [backup-simplify]: Simplify (+ 1 1) into 2 11.311 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.311 * [backup-simplify]: Simplify (+ 0 0) into 0 11.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.312 * [taylor]: Taking taylor expansion of 1/2 in x 11.312 * [backup-simplify]: Simplify 1/2 into 1/2 11.312 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.312 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.312 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.312 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.312 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.312 * [taylor]: Taking taylor expansion of 1 in x 11.312 * [backup-simplify]: Simplify 1 into 1 11.312 * [taylor]: Taking taylor expansion of 1 in x 11.312 * [backup-simplify]: Simplify 1 into 1 11.312 * [taylor]: Taking taylor expansion of (* x x) in x 11.312 * [taylor]: Taking taylor expansion of x in x 11.312 * [backup-simplify]: Simplify 0 into 0 11.312 * [backup-simplify]: Simplify 1 into 1 11.312 * [taylor]: Taking taylor expansion of x in x 11.312 * [backup-simplify]: Simplify 0 into 0 11.312 * [backup-simplify]: Simplify 1 into 1 11.312 * [backup-simplify]: Simplify (* 1 1) into 1 11.313 * [backup-simplify]: Simplify (* 0 0) into 0 11.313 * [backup-simplify]: Simplify (+ 1 0) into 1 11.313 * [backup-simplify]: Simplify (sqrt 1) into 1 11.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.314 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.314 * [backup-simplify]: Simplify (+ 0 0) into 0 11.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.315 * [backup-simplify]: Simplify (/ 1 1) into 1 11.315 * [taylor]: Taking taylor expansion of 1/2 in x 11.315 * [backup-simplify]: Simplify 1/2 into 1/2 11.315 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.315 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 11.315 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 11.315 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.315 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.315 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.315 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.315 * [taylor]: Taking taylor expansion of 1/2 in x 11.315 * [backup-simplify]: Simplify 1/2 into 1/2 11.315 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.315 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.315 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.315 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.315 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.315 * [taylor]: Taking taylor expansion of 1 in x 11.315 * [backup-simplify]: Simplify 1 into 1 11.315 * [taylor]: Taking taylor expansion of 1 in x 11.315 * [backup-simplify]: Simplify 1 into 1 11.315 * [taylor]: Taking taylor expansion of (* x x) in x 11.315 * [taylor]: Taking taylor expansion of x in x 11.315 * [backup-simplify]: Simplify 0 into 0 11.315 * [backup-simplify]: Simplify 1 into 1 11.315 * [taylor]: Taking taylor expansion of x in x 11.315 * [backup-simplify]: Simplify 0 into 0 11.315 * [backup-simplify]: Simplify 1 into 1 11.315 * [backup-simplify]: Simplify (* 1 1) into 1 11.316 * [backup-simplify]: Simplify (* 0 0) into 0 11.316 * [backup-simplify]: Simplify (+ 1 0) into 1 11.316 * [backup-simplify]: Simplify (sqrt 1) into 1 11.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.317 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.317 * [backup-simplify]: Simplify (+ 0 0) into 0 11.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.318 * [backup-simplify]: Simplify (/ 1 1) into 1 11.318 * [taylor]: Taking taylor expansion of 1/2 in x 11.318 * [backup-simplify]: Simplify 1/2 into 1/2 11.318 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.318 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.319 * [backup-simplify]: Simplify (sqrt 1) into 1 11.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.320 * [backup-simplify]: Simplify (+ 0 0) into 0 11.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.320 * [taylor]: Taking taylor expansion of 1 in x 11.320 * [backup-simplify]: Simplify 1 into 1 11.320 * [backup-simplify]: Simplify (+ 1 1) into 2 11.321 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.321 * [backup-simplify]: Simplify (+ 0 0) into 0 11.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.321 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.321 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.321 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.321 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.321 * [taylor]: Taking taylor expansion of 1/2 in x 11.321 * [backup-simplify]: Simplify 1/2 into 1/2 11.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.321 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.321 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.321 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.321 * [taylor]: Taking taylor expansion of 1 in x 11.321 * [backup-simplify]: Simplify 1 into 1 11.321 * [taylor]: Taking taylor expansion of 1 in x 11.322 * [backup-simplify]: Simplify 1 into 1 11.322 * [taylor]: Taking taylor expansion of (* x x) in x 11.322 * [taylor]: Taking taylor expansion of x in x 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 1 into 1 11.322 * [taylor]: Taking taylor expansion of x in x 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 1 into 1 11.322 * [backup-simplify]: Simplify (* 1 1) into 1 11.322 * [backup-simplify]: Simplify (* 0 0) into 0 11.322 * [backup-simplify]: Simplify (+ 1 0) into 1 11.323 * [backup-simplify]: Simplify (sqrt 1) into 1 11.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.323 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.324 * [backup-simplify]: Simplify (+ 0 0) into 0 11.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.324 * [backup-simplify]: Simplify (/ 1 1) into 1 11.324 * [taylor]: Taking taylor expansion of 1/2 in x 11.324 * [backup-simplify]: Simplify 1/2 into 1/2 11.325 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.325 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.325 * [backup-simplify]: Simplify (sqrt 1) into 1 11.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.327 * [backup-simplify]: Simplify (+ 0 0) into 0 11.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.327 * [taylor]: Taking taylor expansion of 1 in x 11.327 * [backup-simplify]: Simplify 1 into 1 11.328 * [backup-simplify]: Simplify (+ 1 1) into 2 11.328 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.329 * [backup-simplify]: Simplify (+ 0 0) into 0 11.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.329 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.329 * [taylor]: Taking taylor expansion of 1/2 in x 11.329 * [backup-simplify]: Simplify 1/2 into 1/2 11.329 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.329 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.329 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.329 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.329 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.329 * [taylor]: Taking taylor expansion of 1 in x 11.330 * [backup-simplify]: Simplify 1 into 1 11.330 * [taylor]: Taking taylor expansion of 1 in x 11.330 * [backup-simplify]: Simplify 1 into 1 11.330 * [taylor]: Taking taylor expansion of (* x x) in x 11.330 * [taylor]: Taking taylor expansion of x in x 11.330 * [backup-simplify]: Simplify 0 into 0 11.330 * [backup-simplify]: Simplify 1 into 1 11.330 * [taylor]: Taking taylor expansion of x in x 11.330 * [backup-simplify]: Simplify 0 into 0 11.330 * [backup-simplify]: Simplify 1 into 1 11.330 * [backup-simplify]: Simplify (* 1 1) into 1 11.330 * [backup-simplify]: Simplify (* 0 0) into 0 11.331 * [backup-simplify]: Simplify (+ 1 0) into 1 11.331 * [backup-simplify]: Simplify (sqrt 1) into 1 11.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.332 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.333 * [backup-simplify]: Simplify (+ 0 0) into 0 11.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.334 * [backup-simplify]: Simplify (/ 1 1) into 1 11.334 * [taylor]: Taking taylor expansion of 1/2 in x 11.334 * [backup-simplify]: Simplify 1/2 into 1/2 11.335 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 11.335 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.336 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.337 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 11.338 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 11.339 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 11.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.341 * [backup-simplify]: Simplify (+ 0 0) into 0 11.341 * [backup-simplify]: Simplify (+ 0 0) into 0 11.341 * [backup-simplify]: Simplify 0 into 0 11.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.343 * [backup-simplify]: Simplify (+ 0 1) into 1 11.344 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.346 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.347 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.348 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 11.348 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 11.351 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 11.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.359 * [backup-simplify]: Simplify (+ 0 1) into 1 11.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.362 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.362 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.363 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 11.363 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 11.364 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 11.368 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ -1/16 (sqrt 2))) (+ (* 0 0) (* (/ -1/16 (sqrt 2)) (sqrt 2)))) into (- 1/8) 11.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.369 * [backup-simplify]: Simplify (+ 0 1) into 1 11.370 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.371 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.371 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.372 * [backup-simplify]: Simplify (+ (- 1/8) -1/4) into -3/8 11.372 * [backup-simplify]: Simplify -3/8 into -3/8 11.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.373 * [backup-simplify]: Simplify (+ 0 0) into 0 11.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.376 * [backup-simplify]: Simplify (+ 0 0) into 0 11.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 11.377 * [backup-simplify]: Simplify (+ 0 0) into 0 11.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 11.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.379 * [backup-simplify]: Simplify (+ 0 0) into 0 11.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.381 * [backup-simplify]: Simplify (+ 0 0) into 0 11.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 11.382 * [backup-simplify]: Simplify (+ 0 0) into 0 11.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 11.384 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ -1/16 (sqrt 2))) (+ (* (/ -1/16 (sqrt 2)) 0) (* 0 (sqrt 2))))) into 0 11.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.386 * [backup-simplify]: Simplify (+ 0 0) into 0 11.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.388 * [backup-simplify]: Simplify (+ 0 0) into 0 11.389 * [backup-simplify]: Simplify (+ 0 0) into 0 11.389 * [backup-simplify]: Simplify 0 into 0 11.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.391 * [backup-simplify]: Simplify (+ 0 0) into 0 11.392 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.395 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.395 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.397 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 11.397 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 11.402 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 11.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.405 * [backup-simplify]: Simplify (+ 0 0) into 0 11.406 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.409 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.410 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.411 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 11.411 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 11.417 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 11.446 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) (+ (* 0 0) (+ (* (/ -1/16 (sqrt 2)) (/ -1/16 (sqrt 2))) (+ (* 0 0) (* (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2)))))) into 11/128 11.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.448 * [backup-simplify]: Simplify (+ 0 0) into 0 11.450 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.453 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.453 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.453 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 11.453 * [backup-simplify]: Simplify 35/128 into 35/128 11.455 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 4)) (+ (* -3/8 (pow x 2)) (+ (pow (sqrt 2) 2) 1))) into (- (+ (pow (sqrt 2) 2) (+ (* 35/128 (pow x 4)) 1)) (* 3/8 (pow x 2))) 11.455 * [backup-simplify]: Simplify (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1)) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 11.455 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 11.455 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.456 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 11.456 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 11.456 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 11.456 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.456 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.456 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.456 * [taylor]: Taking taylor expansion of 1/2 in x 11.456 * [backup-simplify]: Simplify 1/2 into 1/2 11.456 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.456 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.456 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.456 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.456 * [taylor]: Taking taylor expansion of 1 in x 11.456 * [backup-simplify]: Simplify 1 into 1 11.456 * [taylor]: Taking taylor expansion of 1 in x 11.456 * [backup-simplify]: Simplify 1 into 1 11.456 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.456 * [taylor]: Taking taylor expansion of x in x 11.456 * [backup-simplify]: Simplify 0 into 0 11.456 * [backup-simplify]: Simplify 1 into 1 11.456 * [backup-simplify]: Simplify (/ 1 1) into 1 11.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.457 * [taylor]: Taking taylor expansion of x in x 11.457 * [backup-simplify]: Simplify 0 into 0 11.457 * [backup-simplify]: Simplify 1 into 1 11.457 * [backup-simplify]: Simplify (/ 1 1) into 1 11.457 * [backup-simplify]: Simplify (* 1 1) into 1 11.458 * [backup-simplify]: Simplify (+ 0 1) into 1 11.458 * [backup-simplify]: Simplify (sqrt 1) into 1 11.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.460 * [backup-simplify]: Simplify (+ 0 0) into 0 11.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.461 * [backup-simplify]: Simplify (/ 1 1) into 1 11.461 * [taylor]: Taking taylor expansion of 1/2 in x 11.461 * [backup-simplify]: Simplify 1/2 into 1/2 11.462 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.462 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.462 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.463 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.464 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.464 * [taylor]: Taking taylor expansion of 1 in x 11.464 * [backup-simplify]: Simplify 1 into 1 11.471 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.472 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.474 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.478 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.478 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 11.478 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.478 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.478 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.479 * [taylor]: Taking taylor expansion of 1/2 in x 11.479 * [backup-simplify]: Simplify 1/2 into 1/2 11.479 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.479 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.479 * [taylor]: Taking taylor expansion of 1 in x 11.479 * [backup-simplify]: Simplify 1 into 1 11.479 * [taylor]: Taking taylor expansion of 1 in x 11.479 * [backup-simplify]: Simplify 1 into 1 11.479 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.479 * [taylor]: Taking taylor expansion of x in x 11.479 * [backup-simplify]: Simplify 0 into 0 11.479 * [backup-simplify]: Simplify 1 into 1 11.479 * [backup-simplify]: Simplify (/ 1 1) into 1 11.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.479 * [taylor]: Taking taylor expansion of x in x 11.479 * [backup-simplify]: Simplify 0 into 0 11.479 * [backup-simplify]: Simplify 1 into 1 11.480 * [backup-simplify]: Simplify (/ 1 1) into 1 11.480 * [backup-simplify]: Simplify (* 1 1) into 1 11.480 * [backup-simplify]: Simplify (+ 0 1) into 1 11.481 * [backup-simplify]: Simplify (sqrt 1) into 1 11.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.483 * [backup-simplify]: Simplify (+ 0 0) into 0 11.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.484 * [backup-simplify]: Simplify (/ 1 1) into 1 11.484 * [taylor]: Taking taylor expansion of 1/2 in x 11.484 * [backup-simplify]: Simplify 1/2 into 1/2 11.484 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.485 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.485 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.486 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.487 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.487 * [taylor]: Taking taylor expansion of 1 in x 11.487 * [backup-simplify]: Simplify 1 into 1 11.488 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.489 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.491 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.495 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.495 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.495 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.495 * [taylor]: Taking taylor expansion of 1/2 in x 11.495 * [backup-simplify]: Simplify 1/2 into 1/2 11.495 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.495 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.495 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.495 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.495 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.496 * [taylor]: Taking taylor expansion of 1 in x 11.496 * [backup-simplify]: Simplify 1 into 1 11.496 * [taylor]: Taking taylor expansion of 1 in x 11.496 * [backup-simplify]: Simplify 1 into 1 11.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.496 * [taylor]: Taking taylor expansion of x in x 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify 1 into 1 11.496 * [backup-simplify]: Simplify (/ 1 1) into 1 11.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.496 * [taylor]: Taking taylor expansion of x in x 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify 1 into 1 11.496 * [backup-simplify]: Simplify (/ 1 1) into 1 11.497 * [backup-simplify]: Simplify (* 1 1) into 1 11.497 * [backup-simplify]: Simplify (+ 0 1) into 1 11.498 * [backup-simplify]: Simplify (sqrt 1) into 1 11.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.500 * [backup-simplify]: Simplify (+ 0 0) into 0 11.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.501 * [backup-simplify]: Simplify (/ 1 1) into 1 11.501 * [taylor]: Taking taylor expansion of 1/2 in x 11.501 * [backup-simplify]: Simplify 1/2 into 1/2 11.501 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.501 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 11.501 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 11.501 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 11.501 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.501 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.501 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.501 * [taylor]: Taking taylor expansion of 1/2 in x 11.501 * [backup-simplify]: Simplify 1/2 into 1/2 11.501 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.501 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.501 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.501 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.501 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.501 * [taylor]: Taking taylor expansion of 1 in x 11.501 * [backup-simplify]: Simplify 1 into 1 11.501 * [taylor]: Taking taylor expansion of 1 in x 11.501 * [backup-simplify]: Simplify 1 into 1 11.501 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.501 * [taylor]: Taking taylor expansion of x in x 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify 1 into 1 11.502 * [backup-simplify]: Simplify (/ 1 1) into 1 11.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.502 * [taylor]: Taking taylor expansion of x in x 11.502 * [backup-simplify]: Simplify 0 into 0 11.502 * [backup-simplify]: Simplify 1 into 1 11.502 * [backup-simplify]: Simplify (/ 1 1) into 1 11.503 * [backup-simplify]: Simplify (* 1 1) into 1 11.503 * [backup-simplify]: Simplify (+ 0 1) into 1 11.503 * [backup-simplify]: Simplify (sqrt 1) into 1 11.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.506 * [backup-simplify]: Simplify (+ 0 0) into 0 11.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.506 * [backup-simplify]: Simplify (/ 1 1) into 1 11.507 * [taylor]: Taking taylor expansion of 1/2 in x 11.507 * [backup-simplify]: Simplify 1/2 into 1/2 11.507 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.507 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.508 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.508 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.509 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.509 * [taylor]: Taking taylor expansion of 1 in x 11.509 * [backup-simplify]: Simplify 1 into 1 11.510 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.512 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.513 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.518 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.518 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 11.518 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.518 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.518 * [taylor]: Taking taylor expansion of 1/2 in x 11.518 * [backup-simplify]: Simplify 1/2 into 1/2 11.518 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.518 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.518 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.518 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.518 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.518 * [taylor]: Taking taylor expansion of 1 in x 11.518 * [backup-simplify]: Simplify 1 into 1 11.518 * [taylor]: Taking taylor expansion of 1 in x 11.518 * [backup-simplify]: Simplify 1 into 1 11.518 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.518 * [taylor]: Taking taylor expansion of x in x 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 1 into 1 11.519 * [backup-simplify]: Simplify (/ 1 1) into 1 11.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.519 * [taylor]: Taking taylor expansion of x in x 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify 1 into 1 11.519 * [backup-simplify]: Simplify (/ 1 1) into 1 11.519 * [backup-simplify]: Simplify (* 1 1) into 1 11.520 * [backup-simplify]: Simplify (+ 0 1) into 1 11.520 * [backup-simplify]: Simplify (sqrt 1) into 1 11.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.523 * [backup-simplify]: Simplify (+ 0 0) into 0 11.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.524 * [backup-simplify]: Simplify (/ 1 1) into 1 11.524 * [taylor]: Taking taylor expansion of 1/2 in x 11.524 * [backup-simplify]: Simplify 1/2 into 1/2 11.524 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.524 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.525 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.525 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.526 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.527 * [taylor]: Taking taylor expansion of 1 in x 11.527 * [backup-simplify]: Simplify 1 into 1 11.527 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.529 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.530 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.535 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.535 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.535 * [taylor]: Taking taylor expansion of 1/2 in x 11.535 * [backup-simplify]: Simplify 1/2 into 1/2 11.535 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.535 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.535 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.535 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.535 * [taylor]: Taking taylor expansion of 1 in x 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [taylor]: Taking taylor expansion of 1 in x 11.536 * [backup-simplify]: Simplify 1 into 1 11.536 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.536 * [taylor]: Taking taylor expansion of x in x 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 1 into 1 11.536 * [backup-simplify]: Simplify (/ 1 1) into 1 11.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.536 * [taylor]: Taking taylor expansion of x in x 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 1 into 1 11.536 * [backup-simplify]: Simplify (/ 1 1) into 1 11.537 * [backup-simplify]: Simplify (* 1 1) into 1 11.537 * [backup-simplify]: Simplify (+ 0 1) into 1 11.537 * [backup-simplify]: Simplify (sqrt 1) into 1 11.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.540 * [backup-simplify]: Simplify (+ 0 0) into 0 11.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.541 * [backup-simplify]: Simplify (/ 1 1) into 1 11.541 * [taylor]: Taking taylor expansion of 1/2 in x 11.541 * [backup-simplify]: Simplify 1/2 into 1/2 11.544 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 11.544 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.546 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 11.547 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 11.564 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/4 (/ 1 (sqrt 1/2))) 11.565 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.565 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.568 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.570 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.572 * [backup-simplify]: Simplify (+ 0 0) into 0 11.577 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.579 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.606 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 11.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.607 * [backup-simplify]: Simplify (+ 0 0) into 0 11.610 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.612 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.624 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 11.691 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (sqrt (+ (sqrt 1/2) 1))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.692 * [backup-simplify]: Simplify (+ 0 0) into 0 11.695 * [backup-simplify]: Simplify (+ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.697 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.701 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (/ 1 x)) (+ (sqrt 1/2) 3/2))) into (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 3/2))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 11.702 * [backup-simplify]: Simplify (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1)) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 11.702 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 11.702 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.702 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 11.702 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 11.702 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 11.702 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.702 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.702 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.702 * [taylor]: Taking taylor expansion of 1/2 in x 11.702 * [backup-simplify]: Simplify 1/2 into 1/2 11.702 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.702 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.702 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.702 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.702 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.702 * [taylor]: Taking taylor expansion of 1 in x 11.702 * [backup-simplify]: Simplify 1 into 1 11.702 * [taylor]: Taking taylor expansion of 1 in x 11.702 * [backup-simplify]: Simplify 1 into 1 11.702 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.702 * [taylor]: Taking taylor expansion of -1 in x 11.702 * [backup-simplify]: Simplify -1 into -1 11.702 * [taylor]: Taking taylor expansion of x in x 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 1 into 1 11.703 * [backup-simplify]: Simplify (/ -1 1) into -1 11.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.703 * [taylor]: Taking taylor expansion of -1 in x 11.703 * [backup-simplify]: Simplify -1 into -1 11.703 * [taylor]: Taking taylor expansion of x in x 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 1 into 1 11.703 * [backup-simplify]: Simplify (/ -1 1) into -1 11.703 * [backup-simplify]: Simplify (* -1 -1) into 1 11.704 * [backup-simplify]: Simplify (+ 0 1) into 1 11.704 * [backup-simplify]: Simplify (sqrt 1) into 1 11.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.705 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.706 * [backup-simplify]: Simplify (+ 0 0) into 0 11.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.707 * [backup-simplify]: Simplify (/ 1 1) into 1 11.707 * [taylor]: Taking taylor expansion of 1/2 in x 11.707 * [backup-simplify]: Simplify 1/2 into 1/2 11.707 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.707 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.708 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.708 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.709 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.709 * [taylor]: Taking taylor expansion of 1 in x 11.709 * [backup-simplify]: Simplify 1 into 1 11.714 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.715 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.716 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.719 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.719 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 11.719 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.720 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.720 * [taylor]: Taking taylor expansion of 1/2 in x 11.720 * [backup-simplify]: Simplify 1/2 into 1/2 11.720 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.720 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.720 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.720 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.720 * [taylor]: Taking taylor expansion of 1 in x 11.720 * [backup-simplify]: Simplify 1 into 1 11.720 * [taylor]: Taking taylor expansion of 1 in x 11.720 * [backup-simplify]: Simplify 1 into 1 11.720 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.720 * [taylor]: Taking taylor expansion of -1 in x 11.720 * [backup-simplify]: Simplify -1 into -1 11.720 * [taylor]: Taking taylor expansion of x in x 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 1 into 1 11.720 * [backup-simplify]: Simplify (/ -1 1) into -1 11.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.720 * [taylor]: Taking taylor expansion of -1 in x 11.720 * [backup-simplify]: Simplify -1 into -1 11.720 * [taylor]: Taking taylor expansion of x in x 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 1 into 1 11.721 * [backup-simplify]: Simplify (/ -1 1) into -1 11.721 * [backup-simplify]: Simplify (* -1 -1) into 1 11.721 * [backup-simplify]: Simplify (+ 0 1) into 1 11.721 * [backup-simplify]: Simplify (sqrt 1) into 1 11.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.723 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.723 * [backup-simplify]: Simplify (+ 0 0) into 0 11.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.724 * [backup-simplify]: Simplify (/ 1 1) into 1 11.724 * [taylor]: Taking taylor expansion of 1/2 in x 11.724 * [backup-simplify]: Simplify 1/2 into 1/2 11.724 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.724 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.725 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.725 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.726 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.726 * [taylor]: Taking taylor expansion of 1 in x 11.726 * [backup-simplify]: Simplify 1 into 1 11.726 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.727 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.728 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.732 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.732 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.732 * [taylor]: Taking taylor expansion of 1/2 in x 11.732 * [backup-simplify]: Simplify 1/2 into 1/2 11.732 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.732 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.732 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.732 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.732 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.732 * [taylor]: Taking taylor expansion of 1 in x 11.732 * [backup-simplify]: Simplify 1 into 1 11.732 * [taylor]: Taking taylor expansion of 1 in x 11.732 * [backup-simplify]: Simplify 1 into 1 11.732 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.732 * [taylor]: Taking taylor expansion of -1 in x 11.732 * [backup-simplify]: Simplify -1 into -1 11.732 * [taylor]: Taking taylor expansion of x in x 11.732 * [backup-simplify]: Simplify 0 into 0 11.732 * [backup-simplify]: Simplify 1 into 1 11.732 * [backup-simplify]: Simplify (/ -1 1) into -1 11.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.732 * [taylor]: Taking taylor expansion of -1 in x 11.732 * [backup-simplify]: Simplify -1 into -1 11.732 * [taylor]: Taking taylor expansion of x in x 11.732 * [backup-simplify]: Simplify 0 into 0 11.732 * [backup-simplify]: Simplify 1 into 1 11.733 * [backup-simplify]: Simplify (/ -1 1) into -1 11.733 * [backup-simplify]: Simplify (* -1 -1) into 1 11.733 * [backup-simplify]: Simplify (+ 0 1) into 1 11.733 * [backup-simplify]: Simplify (sqrt 1) into 1 11.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.735 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.735 * [backup-simplify]: Simplify (+ 0 0) into 0 11.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.736 * [backup-simplify]: Simplify (/ 1 1) into 1 11.736 * [taylor]: Taking taylor expansion of 1/2 in x 11.736 * [backup-simplify]: Simplify 1/2 into 1/2 11.736 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.736 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 11.736 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 11.736 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 11.736 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.736 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.736 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.736 * [taylor]: Taking taylor expansion of 1/2 in x 11.736 * [backup-simplify]: Simplify 1/2 into 1/2 11.736 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.736 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.736 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.736 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.736 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.736 * [taylor]: Taking taylor expansion of 1 in x 11.736 * [backup-simplify]: Simplify 1 into 1 11.736 * [taylor]: Taking taylor expansion of 1 in x 11.736 * [backup-simplify]: Simplify 1 into 1 11.736 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.736 * [taylor]: Taking taylor expansion of -1 in x 11.736 * [backup-simplify]: Simplify -1 into -1 11.736 * [taylor]: Taking taylor expansion of x in x 11.736 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify 1 into 1 11.737 * [backup-simplify]: Simplify (/ -1 1) into -1 11.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.737 * [taylor]: Taking taylor expansion of -1 in x 11.737 * [backup-simplify]: Simplify -1 into -1 11.737 * [taylor]: Taking taylor expansion of x in x 11.737 * [backup-simplify]: Simplify 0 into 0 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [backup-simplify]: Simplify (/ -1 1) into -1 11.737 * [backup-simplify]: Simplify (* -1 -1) into 1 11.738 * [backup-simplify]: Simplify (+ 0 1) into 1 11.738 * [backup-simplify]: Simplify (sqrt 1) into 1 11.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.739 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.740 * [backup-simplify]: Simplify (+ 0 0) into 0 11.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.740 * [backup-simplify]: Simplify (/ 1 1) into 1 11.740 * [taylor]: Taking taylor expansion of 1/2 in x 11.740 * [backup-simplify]: Simplify 1/2 into 1/2 11.741 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.741 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.741 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.741 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.742 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.742 * [taylor]: Taking taylor expansion of 1 in x 11.742 * [backup-simplify]: Simplify 1 into 1 11.743 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.744 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.745 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.748 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.748 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 11.748 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.748 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.748 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.748 * [taylor]: Taking taylor expansion of 1/2 in x 11.748 * [backup-simplify]: Simplify 1/2 into 1/2 11.748 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.748 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.748 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.748 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.748 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.748 * [taylor]: Taking taylor expansion of 1 in x 11.748 * [backup-simplify]: Simplify 1 into 1 11.748 * [taylor]: Taking taylor expansion of 1 in x 11.748 * [backup-simplify]: Simplify 1 into 1 11.748 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.749 * [taylor]: Taking taylor expansion of -1 in x 11.749 * [backup-simplify]: Simplify -1 into -1 11.749 * [taylor]: Taking taylor expansion of x in x 11.749 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify 1 into 1 11.749 * [backup-simplify]: Simplify (/ -1 1) into -1 11.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.749 * [taylor]: Taking taylor expansion of -1 in x 11.749 * [backup-simplify]: Simplify -1 into -1 11.749 * [taylor]: Taking taylor expansion of x in x 11.749 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify 1 into 1 11.749 * [backup-simplify]: Simplify (/ -1 1) into -1 11.750 * [backup-simplify]: Simplify (* -1 -1) into 1 11.750 * [backup-simplify]: Simplify (+ 0 1) into 1 11.750 * [backup-simplify]: Simplify (sqrt 1) into 1 11.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.752 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.752 * [backup-simplify]: Simplify (+ 0 0) into 0 11.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.753 * [backup-simplify]: Simplify (/ 1 1) into 1 11.753 * [taylor]: Taking taylor expansion of 1/2 in x 11.753 * [backup-simplify]: Simplify 1/2 into 1/2 11.753 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.753 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.754 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.754 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.755 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.755 * [taylor]: Taking taylor expansion of 1 in x 11.755 * [backup-simplify]: Simplify 1 into 1 11.756 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.757 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.758 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.761 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.761 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.761 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.761 * [taylor]: Taking taylor expansion of 1/2 in x 11.761 * [backup-simplify]: Simplify 1/2 into 1/2 11.761 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.761 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.761 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.761 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.761 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.761 * [taylor]: Taking taylor expansion of 1 in x 11.761 * [backup-simplify]: Simplify 1 into 1 11.761 * [taylor]: Taking taylor expansion of 1 in x 11.761 * [backup-simplify]: Simplify 1 into 1 11.761 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.762 * [taylor]: Taking taylor expansion of -1 in x 11.762 * [backup-simplify]: Simplify -1 into -1 11.762 * [taylor]: Taking taylor expansion of x in x 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 1 into 1 11.762 * [backup-simplify]: Simplify (/ -1 1) into -1 11.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.762 * [taylor]: Taking taylor expansion of -1 in x 11.762 * [backup-simplify]: Simplify -1 into -1 11.762 * [taylor]: Taking taylor expansion of x in x 11.762 * [backup-simplify]: Simplify 0 into 0 11.762 * [backup-simplify]: Simplify 1 into 1 11.762 * [backup-simplify]: Simplify (/ -1 1) into -1 11.763 * [backup-simplify]: Simplify (* -1 -1) into 1 11.763 * [backup-simplify]: Simplify (+ 0 1) into 1 11.763 * [backup-simplify]: Simplify (sqrt 1) into 1 11.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.765 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.765 * [backup-simplify]: Simplify (+ 0 0) into 0 11.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.765 * [backup-simplify]: Simplify (/ 1 1) into 1 11.765 * [taylor]: Taking taylor expansion of 1/2 in x 11.766 * [backup-simplify]: Simplify 1/2 into 1/2 11.768 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 11.769 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.770 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 11.770 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 11.782 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/4 (/ 1 (sqrt 1/2))) 11.782 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.782 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.784 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.785 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.787 * [backup-simplify]: Simplify (+ 0 0) into 0 11.790 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.792 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.819 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 11.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.821 * [backup-simplify]: Simplify (+ 0 0) into 0 11.827 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.830 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.848 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 11.910 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (sqrt (+ (sqrt 1/2) 1))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.912 * [backup-simplify]: Simplify (+ 0 0) into 0 11.918 * [backup-simplify]: Simplify (+ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.922 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.929 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (/ 1 (- x))) (+ (sqrt 1/2) 3/2))) into (- (+ (sqrt 1/2) 3/2) (+ (* 1/2 (/ 1 x)) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) 11.929 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.930 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 11.930 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 11.930 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 11.930 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 11.930 * [taylor]: Taking taylor expansion of 1 in x 11.930 * [backup-simplify]: Simplify 1 into 1 11.930 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 11.930 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 11.930 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.930 * [taylor]: Taking taylor expansion of 1/2 in x 11.930 * [backup-simplify]: Simplify 1/2 into 1/2 11.930 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.930 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.930 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.930 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.930 * [taylor]: Taking taylor expansion of 1 in x 11.930 * [backup-simplify]: Simplify 1 into 1 11.930 * [taylor]: Taking taylor expansion of 1 in x 11.930 * [backup-simplify]: Simplify 1 into 1 11.930 * [taylor]: Taking taylor expansion of (* x x) in x 11.930 * [taylor]: Taking taylor expansion of x in x 11.930 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 1 into 1 11.931 * [taylor]: Taking taylor expansion of x in x 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 1 into 1 11.931 * [backup-simplify]: Simplify (* 1 1) into 1 11.931 * [backup-simplify]: Simplify (* 0 0) into 0 11.932 * [backup-simplify]: Simplify (+ 1 0) into 1 11.932 * [backup-simplify]: Simplify (sqrt 1) into 1 11.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.933 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.934 * [backup-simplify]: Simplify (+ 0 0) into 0 11.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.935 * [backup-simplify]: Simplify (/ 1 1) into 1 11.935 * [taylor]: Taking taylor expansion of 1/2 in x 11.935 * [backup-simplify]: Simplify 1/2 into 1/2 11.935 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.936 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.936 * [backup-simplify]: Simplify (* 1 1) into 1 11.936 * [backup-simplify]: Simplify (* 1 1) into 1 11.937 * [backup-simplify]: Simplify (sqrt 1) into 1 11.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.938 * [backup-simplify]: Simplify (+ 0 0) into 0 11.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.948 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.948 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 11.948 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 11.948 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.948 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.948 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.948 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.948 * [taylor]: Taking taylor expansion of 1/2 in x 11.948 * [backup-simplify]: Simplify 1/2 into 1/2 11.948 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.948 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.948 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.948 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.948 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.948 * [taylor]: Taking taylor expansion of 1 in x 11.948 * [backup-simplify]: Simplify 1 into 1 11.948 * [taylor]: Taking taylor expansion of 1 in x 11.948 * [backup-simplify]: Simplify 1 into 1 11.948 * [taylor]: Taking taylor expansion of (* x x) in x 11.948 * [taylor]: Taking taylor expansion of x in x 11.948 * [backup-simplify]: Simplify 0 into 0 11.948 * [backup-simplify]: Simplify 1 into 1 11.948 * [taylor]: Taking taylor expansion of x in x 11.948 * [backup-simplify]: Simplify 0 into 0 11.948 * [backup-simplify]: Simplify 1 into 1 11.949 * [backup-simplify]: Simplify (* 1 1) into 1 11.949 * [backup-simplify]: Simplify (* 0 0) into 0 11.950 * [backup-simplify]: Simplify (+ 1 0) into 1 11.950 * [backup-simplify]: Simplify (sqrt 1) into 1 11.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.952 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.952 * [backup-simplify]: Simplify (+ 0 0) into 0 11.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.953 * [backup-simplify]: Simplify (/ 1 1) into 1 11.953 * [taylor]: Taking taylor expansion of 1/2 in x 11.953 * [backup-simplify]: Simplify 1/2 into 1/2 11.954 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.954 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.954 * [backup-simplify]: Simplify (sqrt 1) into 1 11.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.959 * [backup-simplify]: Simplify (+ 0 0) into 0 11.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.960 * [taylor]: Taking taylor expansion of 1 in x 11.960 * [backup-simplify]: Simplify 1 into 1 11.961 * [backup-simplify]: Simplify (+ 1 1) into 2 11.961 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.962 * [backup-simplify]: Simplify (+ 0 0) into 0 11.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.962 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.962 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.963 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.963 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.963 * [taylor]: Taking taylor expansion of 1/2 in x 11.963 * [backup-simplify]: Simplify 1/2 into 1/2 11.963 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.963 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.963 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.963 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.963 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.963 * [taylor]: Taking taylor expansion of 1 in x 11.963 * [backup-simplify]: Simplify 1 into 1 11.963 * [taylor]: Taking taylor expansion of 1 in x 11.963 * [backup-simplify]: Simplify 1 into 1 11.963 * [taylor]: Taking taylor expansion of (* x x) in x 11.963 * [taylor]: Taking taylor expansion of x in x 11.963 * [backup-simplify]: Simplify 0 into 0 11.963 * [backup-simplify]: Simplify 1 into 1 11.963 * [taylor]: Taking taylor expansion of x in x 11.963 * [backup-simplify]: Simplify 0 into 0 11.963 * [backup-simplify]: Simplify 1 into 1 11.964 * [backup-simplify]: Simplify (* 1 1) into 1 11.964 * [backup-simplify]: Simplify (* 0 0) into 0 11.965 * [backup-simplify]: Simplify (+ 1 0) into 1 11.965 * [backup-simplify]: Simplify (sqrt 1) into 1 11.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.966 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.967 * [backup-simplify]: Simplify (+ 0 0) into 0 11.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.968 * [backup-simplify]: Simplify (/ 1 1) into 1 11.968 * [taylor]: Taking taylor expansion of 1/2 in x 11.968 * [backup-simplify]: Simplify 1/2 into 1/2 11.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.969 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.969 * [backup-simplify]: Simplify (sqrt 1) into 1 11.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.971 * [backup-simplify]: Simplify (+ 0 0) into 0 11.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.972 * [taylor]: Taking taylor expansion of 1 in x 11.972 * [backup-simplify]: Simplify 1 into 1 11.972 * [backup-simplify]: Simplify (+ 1 1) into 2 11.973 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.973 * [backup-simplify]: Simplify (+ 0 0) into 0 11.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.974 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.974 * [taylor]: Taking taylor expansion of 1/2 in x 11.974 * [backup-simplify]: Simplify 1/2 into 1/2 11.974 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.974 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.974 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.974 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.974 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.974 * [taylor]: Taking taylor expansion of 1 in x 11.974 * [backup-simplify]: Simplify 1 into 1 11.974 * [taylor]: Taking taylor expansion of 1 in x 11.974 * [backup-simplify]: Simplify 1 into 1 11.974 * [taylor]: Taking taylor expansion of (* x x) in x 11.974 * [taylor]: Taking taylor expansion of x in x 11.974 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify 1 into 1 11.975 * [taylor]: Taking taylor expansion of x in x 11.975 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify 1 into 1 11.975 * [backup-simplify]: Simplify (* 1 1) into 1 11.975 * [backup-simplify]: Simplify (* 0 0) into 0 11.976 * [backup-simplify]: Simplify (+ 1 0) into 1 11.976 * [backup-simplify]: Simplify (sqrt 1) into 1 11.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.978 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.978 * [backup-simplify]: Simplify (+ 0 0) into 0 11.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.979 * [backup-simplify]: Simplify (/ 1 1) into 1 11.979 * [taylor]: Taking taylor expansion of 1/2 in x 11.979 * [backup-simplify]: Simplify 1/2 into 1/2 11.980 * [backup-simplify]: Simplify (- 1) into -1 11.980 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.981 * [backup-simplify]: Simplify (- 0) into 0 11.981 * [backup-simplify]: Simplify (+ 0 0) into 0 11.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.983 * [backup-simplify]: Simplify (+ 0 1) into 1 11.984 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.986 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.987 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.988 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 11.989 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 11.990 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 11.990 * [backup-simplify]: Simplify (- -3/8) into 3/8 11.990 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 11.991 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 11.991 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.992 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.993 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 11.994 * [backup-simplify]: Simplify (/ 3/8 (+ (pow (sqrt 2) 2) 1)) into (/ 3/8 (+ (pow (sqrt 2) 2) 1)) 11.994 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 11.994 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 11.994 * [taylor]: Taking taylor expansion of 1 in x 11.994 * [backup-simplify]: Simplify 1 into 1 11.994 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 11.994 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 11.994 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.994 * [taylor]: Taking taylor expansion of 1/2 in x 11.994 * [backup-simplify]: Simplify 1/2 into 1/2 11.994 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.994 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.994 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.994 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.994 * [taylor]: Taking taylor expansion of 1 in x 11.994 * [backup-simplify]: Simplify 1 into 1 11.994 * [taylor]: Taking taylor expansion of 1 in x 11.994 * [backup-simplify]: Simplify 1 into 1 11.994 * [taylor]: Taking taylor expansion of (* x x) in x 11.994 * [taylor]: Taking taylor expansion of x in x 11.994 * [backup-simplify]: Simplify 0 into 0 11.994 * [backup-simplify]: Simplify 1 into 1 11.994 * [taylor]: Taking taylor expansion of x in x 11.994 * [backup-simplify]: Simplify 0 into 0 11.994 * [backup-simplify]: Simplify 1 into 1 11.995 * [backup-simplify]: Simplify (* 1 1) into 1 11.995 * [backup-simplify]: Simplify (* 0 0) into 0 11.995 * [backup-simplify]: Simplify (+ 1 0) into 1 11.995 * [backup-simplify]: Simplify (sqrt 1) into 1 11.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.996 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.996 * [backup-simplify]: Simplify (+ 0 0) into 0 11.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.997 * [backup-simplify]: Simplify (/ 1 1) into 1 11.997 * [taylor]: Taking taylor expansion of 1/2 in x 11.997 * [backup-simplify]: Simplify 1/2 into 1/2 11.997 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.998 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.998 * [backup-simplify]: Simplify (* 1 1) into 1 11.998 * [backup-simplify]: Simplify (* 1 1) into 1 11.999 * [backup-simplify]: Simplify (sqrt 1) into 1 11.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.000 * [backup-simplify]: Simplify (+ 0 0) into 0 12.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.001 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 12.001 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 12.001 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 12.001 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 12.001 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 12.001 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 12.001 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 12.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.001 * [taylor]: Taking taylor expansion of 1/2 in x 12.001 * [backup-simplify]: Simplify 1/2 into 1/2 12.001 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.001 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.001 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.001 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.001 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.001 * [taylor]: Taking taylor expansion of 1 in x 12.001 * [backup-simplify]: Simplify 1 into 1 12.001 * [taylor]: Taking taylor expansion of 1 in x 12.001 * [backup-simplify]: Simplify 1 into 1 12.001 * [taylor]: Taking taylor expansion of (* x x) in x 12.002 * [taylor]: Taking taylor expansion of x in x 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 1 into 1 12.002 * [taylor]: Taking taylor expansion of x in x 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify 1 into 1 12.002 * [backup-simplify]: Simplify (* 1 1) into 1 12.002 * [backup-simplify]: Simplify (* 0 0) into 0 12.002 * [backup-simplify]: Simplify (+ 1 0) into 1 12.003 * [backup-simplify]: Simplify (sqrt 1) into 1 12.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.003 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.004 * [backup-simplify]: Simplify (+ 0 0) into 0 12.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.004 * [backup-simplify]: Simplify (/ 1 1) into 1 12.004 * [taylor]: Taking taylor expansion of 1/2 in x 12.004 * [backup-simplify]: Simplify 1/2 into 1/2 12.005 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.005 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 12.005 * [backup-simplify]: Simplify (sqrt 1) into 1 12.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.006 * [backup-simplify]: Simplify (+ 0 0) into 0 12.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.007 * [taylor]: Taking taylor expansion of 1 in x 12.007 * [backup-simplify]: Simplify 1 into 1 12.007 * [backup-simplify]: Simplify (+ 1 1) into 2 12.007 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.008 * [backup-simplify]: Simplify (+ 0 0) into 0 12.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.008 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 12.008 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 12.008 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 12.008 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 12.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.008 * [taylor]: Taking taylor expansion of 1/2 in x 12.008 * [backup-simplify]: Simplify 1/2 into 1/2 12.008 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.008 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.008 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.008 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.008 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.008 * [taylor]: Taking taylor expansion of 1 in x 12.008 * [backup-simplify]: Simplify 1 into 1 12.008 * [taylor]: Taking taylor expansion of 1 in x 12.008 * [backup-simplify]: Simplify 1 into 1 12.008 * [taylor]: Taking taylor expansion of (* x x) in x 12.008 * [taylor]: Taking taylor expansion of x in x 12.008 * [backup-simplify]: Simplify 0 into 0 12.008 * [backup-simplify]: Simplify 1 into 1 12.008 * [taylor]: Taking taylor expansion of x in x 12.008 * [backup-simplify]: Simplify 0 into 0 12.008 * [backup-simplify]: Simplify 1 into 1 12.009 * [backup-simplify]: Simplify (* 1 1) into 1 12.009 * [backup-simplify]: Simplify (* 0 0) into 0 12.009 * [backup-simplify]: Simplify (+ 1 0) into 1 12.009 * [backup-simplify]: Simplify (sqrt 1) into 1 12.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.010 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.010 * [backup-simplify]: Simplify (+ 0 0) into 0 12.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.011 * [backup-simplify]: Simplify (/ 1 1) into 1 12.011 * [taylor]: Taking taylor expansion of 1/2 in x 12.011 * [backup-simplify]: Simplify 1/2 into 1/2 12.011 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.012 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 12.012 * [backup-simplify]: Simplify (sqrt 1) into 1 12.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.013 * [backup-simplify]: Simplify (+ 0 0) into 0 12.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.013 * [taylor]: Taking taylor expansion of 1 in x 12.013 * [backup-simplify]: Simplify 1 into 1 12.014 * [backup-simplify]: Simplify (+ 1 1) into 2 12.014 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.014 * [backup-simplify]: Simplify (+ 0 0) into 0 12.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.015 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 12.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.015 * [taylor]: Taking taylor expansion of 1/2 in x 12.015 * [backup-simplify]: Simplify 1/2 into 1/2 12.015 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.015 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.015 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.015 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.015 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.015 * [taylor]: Taking taylor expansion of 1 in x 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [taylor]: Taking taylor expansion of 1 in x 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [taylor]: Taking taylor expansion of (* x x) in x 12.015 * [taylor]: Taking taylor expansion of x in x 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [taylor]: Taking taylor expansion of x in x 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify (* 1 1) into 1 12.015 * [backup-simplify]: Simplify (* 0 0) into 0 12.016 * [backup-simplify]: Simplify (+ 1 0) into 1 12.016 * [backup-simplify]: Simplify (sqrt 1) into 1 12.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.017 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.017 * [backup-simplify]: Simplify (+ 0 0) into 0 12.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.018 * [backup-simplify]: Simplify (/ 1 1) into 1 12.018 * [taylor]: Taking taylor expansion of 1/2 in x 12.018 * [backup-simplify]: Simplify 1/2 into 1/2 12.018 * [backup-simplify]: Simplify (- 1) into -1 12.018 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.018 * [backup-simplify]: Simplify (- 0) into 0 12.019 * [backup-simplify]: Simplify (+ 0 0) into 0 12.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.020 * [backup-simplify]: Simplify (+ 0 1) into 1 12.021 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.022 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.023 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 12.024 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 12.025 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 12.026 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 12.026 * [backup-simplify]: Simplify (- -3/8) into 3/8 12.027 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 12.028 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 12.029 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.029 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 12.031 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 12.033 * [backup-simplify]: Simplify (/ 3/8 (+ (pow (sqrt 2) 2) 1)) into (/ 3/8 (+ (pow (sqrt 2) 2) 1)) 12.035 * [backup-simplify]: Simplify (/ 3/8 (+ (pow (sqrt 2) 2) 1)) into (/ 3/8 (+ (pow (sqrt 2) 2) 1)) 12.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.038 * [backup-simplify]: Simplify (+ 0 0) into 0 12.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.042 * [backup-simplify]: Simplify (+ 0 0) into 0 12.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 12.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 12.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 12.046 * [backup-simplify]: Simplify (- 0) into 0 12.046 * [backup-simplify]: Simplify (+ 0 0) into 0 12.047 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 12.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.049 * [backup-simplify]: Simplify (+ 0 0) into 0 12.050 * [backup-simplify]: Simplify (+ 0 0) into 0 12.051 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sqrt 2) 2) 1)) (+ (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (/ 0 (+ (pow (sqrt 2) 2) 1))))) into 0 12.051 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.054 * [backup-simplify]: Simplify (+ 0 0) into 0 12.055 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.059 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.059 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 12.061 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 12.062 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 12.064 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 12.064 * [backup-simplify]: Simplify (- 39/128) into -39/128 12.065 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 12.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.073 * [backup-simplify]: Simplify (+ 0 1) into 1 12.074 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.076 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.076 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 12.077 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 12.077 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 12.078 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 12.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.080 * [backup-simplify]: Simplify (+ 0 1) into 1 12.080 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.082 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.082 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 12.083 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 12.083 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 12.084 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 12.088 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ -1/16 (sqrt 2))) (+ (* 0 0) (* (/ -1/16 (sqrt 2)) (sqrt 2)))) into (- 1/8) 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.090 * [backup-simplify]: Simplify (+ 0 1) into 1 12.091 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.093 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.093 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 12.094 * [backup-simplify]: Simplify (+ (- 1/8) -1/4) into -3/8 12.108 * [backup-simplify]: Simplify (- (/ -39/128 (+ (pow (sqrt 2) 2) 1)) (+ (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (/ -3/8 (+ (pow (sqrt 2) 2) 1))) (* 0 (/ 0 (+ (pow (sqrt 2) 2) 1))))) into (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) 12.118 * [backup-simplify]: Simplify (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) into (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) 12.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.121 * [backup-simplify]: Simplify (+ 0 0) into 0 12.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 12.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 12.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 12.128 * [backup-simplify]: Simplify (+ 0 0) into 0 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 12.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 12.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 12.135 * [backup-simplify]: Simplify (- 0) into 0 12.136 * [backup-simplify]: Simplify (+ 0 0) into 0 12.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.139 * [backup-simplify]: Simplify (+ 0 0) into 0 12.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.143 * [backup-simplify]: Simplify (+ 0 0) into 0 12.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 12.145 * [backup-simplify]: Simplify (+ 0 0) into 0 12.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 12.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.149 * [backup-simplify]: Simplify (+ 0 0) into 0 12.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.154 * [backup-simplify]: Simplify (+ 0 0) into 0 12.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 12.155 * [backup-simplify]: Simplify (+ 0 0) into 0 12.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 12.159 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ -1/16 (sqrt 2))) (+ (* (/ -1/16 (sqrt 2)) 0) (* 0 (sqrt 2))))) into 0 12.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.162 * [backup-simplify]: Simplify (+ 0 0) into 0 12.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.166 * [backup-simplify]: Simplify (+ 0 0) into 0 12.167 * [backup-simplify]: Simplify (+ 0 0) into 0 12.171 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sqrt 2) 2) 1)) (+ (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (/ 0 (+ (pow (sqrt 2) 2) 1))) (* 0 (/ -3/8 (+ (pow (sqrt 2) 2) 1))) (* (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (/ 0 (+ (pow (sqrt 2) 2) 1))))) into 0 12.171 * [backup-simplify]: Simplify 0 into 0 12.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.175 * [backup-simplify]: Simplify (+ 0 0) into 0 12.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 12.179 * [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 12.182 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 12.182 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 12.185 * [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 12.188 * [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 12.190 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 12.190 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 12.191 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 12.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.194 * [backup-simplify]: Simplify (+ 0 0) into 0 12.195 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.199 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.199 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 12.201 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 12.202 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 12.216 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 12.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.219 * [backup-simplify]: Simplify (+ 0 0) into 0 12.220 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.223 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.224 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 12.226 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 12.226 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 12.232 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 12.257 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) (+ (* 0 0) (+ (* (/ -1/16 (sqrt 2)) (/ -1/16 (sqrt 2))) (+ (* 0 0) (* (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2)))))) into 11/128 12.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.258 * [backup-simplify]: Simplify (+ 0 0) into 0 12.259 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.261 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.261 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 12.262 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 12.284 * [backup-simplify]: Simplify (- (/ 275/1024 (+ (pow (sqrt 2) 2) 1)) (+ (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (/ 35/128 (+ (pow (sqrt 2) 2) 1))) (* 0 (/ 0 (+ (pow (sqrt 2) 2) 1))) (* (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (/ -3/8 (+ (pow (sqrt 2) 2) 1))) (* 0 (/ 0 (+ (pow (sqrt 2) 2) 1))))) into (- (+ (* 27/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 275/1024 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (* 111/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2)))) 12.294 * [backup-simplify]: Simplify (- (+ (* 27/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 275/1024 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (* 111/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2)))) into (- (+ (* 27/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 275/1024 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (* 111/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2)))) 12.321 * [backup-simplify]: Simplify (+ (* (- (+ (* 27/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 275/1024 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (* 111/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2)))) (pow x 6)) (+ (* (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (pow x 4)) (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (pow x 2)))) into (- (+ (* 275/1024 (/ (pow x 6) (+ (pow (sqrt 2) 2) 1))) (+ (* 3/8 (/ (pow x 2) (+ (pow (sqrt 2) 2) 1))) (+ (* 27/512 (/ (pow x 6) (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 9/64 (/ (pow x 4) (pow (+ (pow (sqrt 2) 2) 1) 2)))))) (+ (* 111/512 (/ (pow x 6) (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ (pow x 4) (+ (pow (sqrt 2) 2) 1))))) 12.322 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1)) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 12.322 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 12.322 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 12.322 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 12.322 * [taylor]: Taking taylor expansion of 1 in x 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 12.322 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 12.322 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 12.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.322 * [taylor]: Taking taylor expansion of 1/2 in x 12.322 * [backup-simplify]: Simplify 1/2 into 1/2 12.322 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.322 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.322 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.322 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.322 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.322 * [taylor]: Taking taylor expansion of 1 in x 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [taylor]: Taking taylor expansion of 1 in x 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.322 * [taylor]: Taking taylor expansion of x in x 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.323 * [taylor]: Taking taylor expansion of x in x 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.323 * [backup-simplify]: Simplify (* 1 1) into 1 12.324 * [backup-simplify]: Simplify (+ 0 1) into 1 12.324 * [backup-simplify]: Simplify (sqrt 1) into 1 12.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.325 * [backup-simplify]: Simplify (+ 0 0) into 0 12.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.326 * [backup-simplify]: Simplify (/ 1 1) into 1 12.326 * [taylor]: Taking taylor expansion of 1/2 in x 12.326 * [backup-simplify]: Simplify 1/2 into 1/2 12.326 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.327 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.327 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 12.327 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 12.327 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.328 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.328 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 12.328 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 12.329 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 12.330 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 12.330 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 12.330 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 12.330 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 12.330 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 12.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 12.330 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 12.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.330 * [taylor]: Taking taylor expansion of 1/2 in x 12.330 * [backup-simplify]: Simplify 1/2 into 1/2 12.330 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.330 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.330 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.330 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.330 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.330 * [taylor]: Taking taylor expansion of 1 in x 12.330 * [backup-simplify]: Simplify 1 into 1 12.330 * [taylor]: Taking taylor expansion of 1 in x 12.330 * [backup-simplify]: Simplify 1 into 1 12.330 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.330 * [taylor]: Taking taylor expansion of x in x 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 1 into 1 12.330 * [backup-simplify]: Simplify (/ 1 1) into 1 12.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.330 * [taylor]: Taking taylor expansion of x in x 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 1 into 1 12.331 * [backup-simplify]: Simplify (/ 1 1) into 1 12.331 * [backup-simplify]: Simplify (* 1 1) into 1 12.331 * [backup-simplify]: Simplify (+ 0 1) into 1 12.331 * [backup-simplify]: Simplify (sqrt 1) into 1 12.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.333 * [backup-simplify]: Simplify (+ 0 0) into 0 12.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.334 * [backup-simplify]: Simplify (/ 1 1) into 1 12.334 * [taylor]: Taking taylor expansion of 1/2 in x 12.334 * [backup-simplify]: Simplify 1/2 into 1/2 12.334 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.334 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.335 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.335 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.336 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 12.336 * [taylor]: Taking taylor expansion of 1 in x 12.336 * [backup-simplify]: Simplify 1 into 1 12.336 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 12.337 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 12.338 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 12.341 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 12.342 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 12.342 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 12.342 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 12.342 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 12.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.342 * [taylor]: Taking taylor expansion of 1/2 in x 12.342 * [backup-simplify]: Simplify 1/2 into 1/2 12.342 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.342 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.342 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.342 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.342 * [taylor]: Taking taylor expansion of 1 in x 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [taylor]: Taking taylor expansion of 1 in x 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.342 * [taylor]: Taking taylor expansion of x in x 12.342 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [backup-simplify]: Simplify (/ 1 1) into 1 12.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.342 * [taylor]: Taking taylor expansion of x in x 12.342 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [backup-simplify]: Simplify (/ 1 1) into 1 12.343 * [backup-simplify]: Simplify (* 1 1) into 1 12.343 * [backup-simplify]: Simplify (+ 0 1) into 1 12.343 * [backup-simplify]: Simplify (sqrt 1) into 1 12.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.345 * [backup-simplify]: Simplify (+ 0 0) into 0 12.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.346 * [backup-simplify]: Simplify (/ 1 1) into 1 12.346 * [taylor]: Taking taylor expansion of 1/2 in x 12.346 * [backup-simplify]: Simplify 1/2 into 1/2 12.346 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.346 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.346 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.348 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 12.348 * [taylor]: Taking taylor expansion of 1 in x 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 12.349 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 12.351 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 12.356 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 12.356 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 12.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.356 * [taylor]: Taking taylor expansion of 1/2 in x 12.356 * [backup-simplify]: Simplify 1/2 into 1/2 12.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.356 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.356 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.357 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.357 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.357 * [taylor]: Taking taylor expansion of 1 in x 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [taylor]: Taking taylor expansion of 1 in x 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.357 * [taylor]: Taking taylor expansion of x in x 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [backup-simplify]: Simplify (/ 1 1) into 1 12.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.357 * [taylor]: Taking taylor expansion of x in x 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify 1 into 1 12.358 * [backup-simplify]: Simplify (/ 1 1) into 1 12.358 * [backup-simplify]: Simplify (* 1 1) into 1 12.358 * [backup-simplify]: Simplify (+ 0 1) into 1 12.359 * [backup-simplify]: Simplify (sqrt 1) into 1 12.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.362 * [backup-simplify]: Simplify (+ 0 0) into 0 12.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.363 * [backup-simplify]: Simplify (/ 1 1) into 1 12.363 * [taylor]: Taking taylor expansion of 1/2 in x 12.363 * [backup-simplify]: Simplify 1/2 into 1/2 12.364 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 12.365 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 12.370 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 12.370 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.371 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 12.374 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 12.374 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 12.375 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 12.375 * [taylor]: Taking taylor expansion of 1 in x 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 12.375 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 12.375 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 12.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.375 * [taylor]: Taking taylor expansion of 1/2 in x 12.375 * [backup-simplify]: Simplify 1/2 into 1/2 12.375 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.375 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.375 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.375 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.375 * [taylor]: Taking taylor expansion of 1 in x 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [taylor]: Taking taylor expansion of 1 in x 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.375 * [taylor]: Taking taylor expansion of x in x 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.376 * [backup-simplify]: Simplify (/ 1 1) into 1 12.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.376 * [taylor]: Taking taylor expansion of x in x 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 1 into 1 12.376 * [backup-simplify]: Simplify (/ 1 1) into 1 12.376 * [backup-simplify]: Simplify (* 1 1) into 1 12.377 * [backup-simplify]: Simplify (+ 0 1) into 1 12.377 * [backup-simplify]: Simplify (sqrt 1) into 1 12.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.380 * [backup-simplify]: Simplify (+ 0 0) into 0 12.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.381 * [backup-simplify]: Simplify (/ 1 1) into 1 12.381 * [taylor]: Taking taylor expansion of 1/2 in x 12.381 * [backup-simplify]: Simplify 1/2 into 1/2 12.382 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.382 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.383 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 12.383 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 12.384 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.384 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.384 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 12.385 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 12.387 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 12.387 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 12.387 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 12.387 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 12.387 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 12.387 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 12.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 12.387 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 12.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.387 * [taylor]: Taking taylor expansion of 1/2 in x 12.387 * [backup-simplify]: Simplify 1/2 into 1/2 12.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.387 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.387 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.387 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.387 * [taylor]: Taking taylor expansion of 1 in x 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [taylor]: Taking taylor expansion of 1 in x 12.387 * [backup-simplify]: Simplify 1 into 1 12.388 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.388 * [taylor]: Taking taylor expansion of x in x 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.388 * [backup-simplify]: Simplify (/ 1 1) into 1 12.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.388 * [taylor]: Taking taylor expansion of x in x 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.389 * [backup-simplify]: Simplify (/ 1 1) into 1 12.389 * [backup-simplify]: Simplify (* 1 1) into 1 12.389 * [backup-simplify]: Simplify (+ 0 1) into 1 12.390 * [backup-simplify]: Simplify (sqrt 1) into 1 12.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.392 * [backup-simplify]: Simplify (+ 0 0) into 0 12.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.393 * [backup-simplify]: Simplify (/ 1 1) into 1 12.394 * [taylor]: Taking taylor expansion of 1/2 in x 12.394 * [backup-simplify]: Simplify 1/2 into 1/2 12.394 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.394 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.395 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.395 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.397 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 12.397 * [taylor]: Taking taylor expansion of 1 in x 12.397 * [backup-simplify]: Simplify 1 into 1 12.398 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 12.400 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 12.401 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 12.407 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 12.407 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 12.407 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 12.407 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 12.407 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 12.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.407 * [taylor]: Taking taylor expansion of 1/2 in x 12.407 * [backup-simplify]: Simplify 1/2 into 1/2 12.407 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.407 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.407 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.407 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.407 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.407 * [taylor]: Taking taylor expansion of 1 in x 12.407 * [backup-simplify]: Simplify 1 into 1 12.407 * [taylor]: Taking taylor expansion of 1 in x 12.407 * [backup-simplify]: Simplify 1 into 1 12.407 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.407 * [taylor]: Taking taylor expansion of x in x 12.407 * [backup-simplify]: Simplify 0 into 0 12.407 * [backup-simplify]: Simplify 1 into 1 12.408 * [backup-simplify]: Simplify (/ 1 1) into 1 12.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.408 * [taylor]: Taking taylor expansion of x in x 12.408 * [backup-simplify]: Simplify 0 into 0 12.408 * [backup-simplify]: Simplify 1 into 1 12.408 * [backup-simplify]: Simplify (/ 1 1) into 1 12.409 * [backup-simplify]: Simplify (* 1 1) into 1 12.409 * [backup-simplify]: Simplify (+ 0 1) into 1 12.409 * [backup-simplify]: Simplify (sqrt 1) into 1 12.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.412 * [backup-simplify]: Simplify (+ 0 0) into 0 12.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.413 * [backup-simplify]: Simplify (/ 1 1) into 1 12.413 * [taylor]: Taking taylor expansion of 1/2 in x 12.414 * [backup-simplify]: Simplify 1/2 into 1/2 12.414 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.414 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.415 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.415 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.417 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 12.417 * [taylor]: Taking taylor expansion of 1 in x 12.417 * [backup-simplify]: Simplify 1 into 1 12.418 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 12.420 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 12.421 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 12.427 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 12.427 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 12.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.427 * [taylor]: Taking taylor expansion of 1/2 in x 12.427 * [backup-simplify]: Simplify 1/2 into 1/2 12.427 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.427 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.427 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.427 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.427 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.427 * [taylor]: Taking taylor expansion of 1 in x 12.427 * [backup-simplify]: Simplify 1 into 1 12.427 * [taylor]: Taking taylor expansion of 1 in x 12.427 * [backup-simplify]: Simplify 1 into 1 12.427 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.427 * [taylor]: Taking taylor expansion of x in x 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 1 into 1 12.427 * [backup-simplify]: Simplify (/ 1 1) into 1 12.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.428 * [taylor]: Taking taylor expansion of x in x 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 1 into 1 12.428 * [backup-simplify]: Simplify (/ 1 1) into 1 12.428 * [backup-simplify]: Simplify (* 1 1) into 1 12.429 * [backup-simplify]: Simplify (+ 0 1) into 1 12.429 * [backup-simplify]: Simplify (sqrt 1) into 1 12.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.432 * [backup-simplify]: Simplify (+ 0 0) into 0 12.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.433 * [backup-simplify]: Simplify (/ 1 1) into 1 12.433 * [taylor]: Taking taylor expansion of 1/2 in x 12.433 * [backup-simplify]: Simplify 1/2 into 1/2 12.434 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 12.436 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 12.440 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 12.440 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.441 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 12.449 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 12.451 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 12.452 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 12.454 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 12.466 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/4 (/ 1 (sqrt 1/2))) 12.466 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.467 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.468 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 12.480 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 12.501 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 12.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.502 * [backup-simplify]: Simplify (+ 0 0) into 0 12.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 12.504 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 12.508 * [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))) 12.516 * [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)))) 12.523 * [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)))) 12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.525 * [backup-simplify]: Simplify (+ 0 0) into 0 12.530 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 12.532 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.560 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 12.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.562 * [backup-simplify]: Simplify (+ 0 0) into 0 12.567 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 12.569 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.589 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 12.660 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (sqrt (+ (sqrt 1/2) 1))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.662 * [backup-simplify]: Simplify (+ 0 0) into 0 12.667 * [backup-simplify]: Simplify (+ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.747 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 12.870 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 13.094 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 x)) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (* 1/4 (/ (sqrt 1/8) (* x (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) 13.094 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1)) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 13.094 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 13.095 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 13.095 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 13.095 * [taylor]: Taking taylor expansion of 1 in x 13.095 * [backup-simplify]: Simplify 1 into 1 13.095 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 13.095 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 13.095 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.095 * [taylor]: Taking taylor expansion of 1/2 in x 13.095 * [backup-simplify]: Simplify 1/2 into 1/2 13.095 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.095 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.095 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.095 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.095 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.095 * [taylor]: Taking taylor expansion of 1 in x 13.095 * [backup-simplify]: Simplify 1 into 1 13.095 * [taylor]: Taking taylor expansion of 1 in x 13.095 * [backup-simplify]: Simplify 1 into 1 13.095 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.095 * [taylor]: Taking taylor expansion of -1 in x 13.095 * [backup-simplify]: Simplify -1 into -1 13.095 * [taylor]: Taking taylor expansion of x in x 13.095 * [backup-simplify]: Simplify 0 into 0 13.095 * [backup-simplify]: Simplify 1 into 1 13.095 * [backup-simplify]: Simplify (/ -1 1) into -1 13.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.095 * [taylor]: Taking taylor expansion of -1 in x 13.095 * [backup-simplify]: Simplify -1 into -1 13.095 * [taylor]: Taking taylor expansion of x in x 13.095 * [backup-simplify]: Simplify 0 into 0 13.095 * [backup-simplify]: Simplify 1 into 1 13.096 * [backup-simplify]: Simplify (/ -1 1) into -1 13.096 * [backup-simplify]: Simplify (* -1 -1) into 1 13.096 * [backup-simplify]: Simplify (+ 0 1) into 1 13.096 * [backup-simplify]: Simplify (sqrt 1) into 1 13.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.098 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.098 * [backup-simplify]: Simplify (+ 0 0) into 0 13.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.099 * [backup-simplify]: Simplify (/ 1 1) into 1 13.099 * [taylor]: Taking taylor expansion of 1/2 in x 13.099 * [backup-simplify]: Simplify 1/2 into 1/2 13.099 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.099 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.100 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 13.100 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.100 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.100 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.101 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 13.101 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 13.102 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 13.102 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 13.102 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 13.102 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 13.102 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 13.102 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 13.102 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 13.102 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.102 * [taylor]: Taking taylor expansion of 1/2 in x 13.102 * [backup-simplify]: Simplify 1/2 into 1/2 13.102 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.102 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.102 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.102 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.103 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.103 * [taylor]: Taking taylor expansion of 1 in x 13.103 * [backup-simplify]: Simplify 1 into 1 13.103 * [taylor]: Taking taylor expansion of 1 in x 13.103 * [backup-simplify]: Simplify 1 into 1 13.103 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.103 * [taylor]: Taking taylor expansion of -1 in x 13.103 * [backup-simplify]: Simplify -1 into -1 13.103 * [taylor]: Taking taylor expansion of x in x 13.103 * [backup-simplify]: Simplify 0 into 0 13.103 * [backup-simplify]: Simplify 1 into 1 13.103 * [backup-simplify]: Simplify (/ -1 1) into -1 13.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.103 * [taylor]: Taking taylor expansion of -1 in x 13.103 * [backup-simplify]: Simplify -1 into -1 13.103 * [taylor]: Taking taylor expansion of x in x 13.103 * [backup-simplify]: Simplify 0 into 0 13.103 * [backup-simplify]: Simplify 1 into 1 13.103 * [backup-simplify]: Simplify (/ -1 1) into -1 13.104 * [backup-simplify]: Simplify (* -1 -1) into 1 13.104 * [backup-simplify]: Simplify (+ 0 1) into 1 13.104 * [backup-simplify]: Simplify (sqrt 1) into 1 13.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.106 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.106 * [backup-simplify]: Simplify (+ 0 0) into 0 13.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.107 * [backup-simplify]: Simplify (/ 1 1) into 1 13.107 * [taylor]: Taking taylor expansion of 1/2 in x 13.107 * [backup-simplify]: Simplify 1/2 into 1/2 13.107 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.107 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 13.108 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.108 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.109 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 13.109 * [taylor]: Taking taylor expansion of 1 in x 13.109 * [backup-simplify]: Simplify 1 into 1 13.109 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 13.110 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 13.111 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 13.114 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 13.115 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 13.115 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 13.115 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 13.115 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.115 * [taylor]: Taking taylor expansion of 1/2 in x 13.115 * [backup-simplify]: Simplify 1/2 into 1/2 13.115 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.115 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.115 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.115 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.115 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.115 * [taylor]: Taking taylor expansion of 1 in x 13.115 * [backup-simplify]: Simplify 1 into 1 13.115 * [taylor]: Taking taylor expansion of 1 in x 13.115 * [backup-simplify]: Simplify 1 into 1 13.115 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.115 * [taylor]: Taking taylor expansion of -1 in x 13.115 * [backup-simplify]: Simplify -1 into -1 13.115 * [taylor]: Taking taylor expansion of x in x 13.115 * [backup-simplify]: Simplify 0 into 0 13.115 * [backup-simplify]: Simplify 1 into 1 13.115 * [backup-simplify]: Simplify (/ -1 1) into -1 13.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.115 * [taylor]: Taking taylor expansion of -1 in x 13.115 * [backup-simplify]: Simplify -1 into -1 13.115 * [taylor]: Taking taylor expansion of x in x 13.115 * [backup-simplify]: Simplify 0 into 0 13.115 * [backup-simplify]: Simplify 1 into 1 13.116 * [backup-simplify]: Simplify (/ -1 1) into -1 13.116 * [backup-simplify]: Simplify (* -1 -1) into 1 13.116 * [backup-simplify]: Simplify (+ 0 1) into 1 13.116 * [backup-simplify]: Simplify (sqrt 1) into 1 13.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.118 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.118 * [backup-simplify]: Simplify (+ 0 0) into 0 13.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.119 * [backup-simplify]: Simplify (/ 1 1) into 1 13.119 * [taylor]: Taking taylor expansion of 1/2 in x 13.119 * [backup-simplify]: Simplify 1/2 into 1/2 13.119 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.120 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 13.120 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.120 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.121 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 13.121 * [taylor]: Taking taylor expansion of 1 in x 13.121 * [backup-simplify]: Simplify 1 into 1 13.122 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 13.124 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 13.125 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 13.131 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 13.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.131 * [taylor]: Taking taylor expansion of 1/2 in x 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.131 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.131 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.131 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.132 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.132 * [taylor]: Taking taylor expansion of 1 in x 13.132 * [backup-simplify]: Simplify 1 into 1 13.132 * [taylor]: Taking taylor expansion of 1 in x 13.132 * [backup-simplify]: Simplify 1 into 1 13.132 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.132 * [taylor]: Taking taylor expansion of -1 in x 13.132 * [backup-simplify]: Simplify -1 into -1 13.132 * [taylor]: Taking taylor expansion of x in x 13.132 * [backup-simplify]: Simplify 0 into 0 13.132 * [backup-simplify]: Simplify 1 into 1 13.132 * [backup-simplify]: Simplify (/ -1 1) into -1 13.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.132 * [taylor]: Taking taylor expansion of -1 in x 13.132 * [backup-simplify]: Simplify -1 into -1 13.132 * [taylor]: Taking taylor expansion of x in x 13.132 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 1 into 1 13.133 * [backup-simplify]: Simplify (/ -1 1) into -1 13.133 * [backup-simplify]: Simplify (* -1 -1) into 1 13.134 * [backup-simplify]: Simplify (+ 0 1) into 1 13.134 * [backup-simplify]: Simplify (sqrt 1) into 1 13.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.137 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.137 * [backup-simplify]: Simplify (+ 0 0) into 0 13.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.139 * [backup-simplify]: Simplify (/ 1 1) into 1 13.139 * [taylor]: Taking taylor expansion of 1/2 in x 13.139 * [backup-simplify]: Simplify 1/2 into 1/2 13.140 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 13.141 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 13.145 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 13.145 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.147 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 13.150 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 13.150 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 13.150 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 13.150 * [taylor]: Taking taylor expansion of 1 in x 13.150 * [backup-simplify]: Simplify 1 into 1 13.150 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 13.150 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 13.150 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.150 * [taylor]: Taking taylor expansion of 1/2 in x 13.150 * [backup-simplify]: Simplify 1/2 into 1/2 13.150 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.150 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.150 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.150 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.150 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.150 * [taylor]: Taking taylor expansion of 1 in x 13.150 * [backup-simplify]: Simplify 1 into 1 13.150 * [taylor]: Taking taylor expansion of 1 in x 13.150 * [backup-simplify]: Simplify 1 into 1 13.150 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.150 * [taylor]: Taking taylor expansion of -1 in x 13.150 * [backup-simplify]: Simplify -1 into -1 13.150 * [taylor]: Taking taylor expansion of x in x 13.150 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify 1 into 1 13.151 * [backup-simplify]: Simplify (/ -1 1) into -1 13.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.151 * [taylor]: Taking taylor expansion of -1 in x 13.151 * [backup-simplify]: Simplify -1 into -1 13.151 * [taylor]: Taking taylor expansion of x in x 13.151 * [backup-simplify]: Simplify 0 into 0 13.151 * [backup-simplify]: Simplify 1 into 1 13.152 * [backup-simplify]: Simplify (/ -1 1) into -1 13.152 * [backup-simplify]: Simplify (* -1 -1) into 1 13.152 * [backup-simplify]: Simplify (+ 0 1) into 1 13.153 * [backup-simplify]: Simplify (sqrt 1) into 1 13.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.155 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.156 * [backup-simplify]: Simplify (+ 0 0) into 0 13.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.157 * [backup-simplify]: Simplify (/ 1 1) into 1 13.157 * [taylor]: Taking taylor expansion of 1/2 in x 13.157 * [backup-simplify]: Simplify 1/2 into 1/2 13.157 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.158 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.158 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 13.158 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.159 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.159 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.160 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 13.160 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 13.162 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 13.162 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 13.162 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 13.162 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 13.162 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 13.162 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 13.162 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 13.162 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.162 * [taylor]: Taking taylor expansion of 1/2 in x 13.162 * [backup-simplify]: Simplify 1/2 into 1/2 13.162 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.162 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.162 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.162 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.162 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.162 * [taylor]: Taking taylor expansion of 1 in x 13.162 * [backup-simplify]: Simplify 1 into 1 13.162 * [taylor]: Taking taylor expansion of 1 in x 13.162 * [backup-simplify]: Simplify 1 into 1 13.163 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.163 * [taylor]: Taking taylor expansion of -1 in x 13.163 * [backup-simplify]: Simplify -1 into -1 13.163 * [taylor]: Taking taylor expansion of x in x 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * [backup-simplify]: Simplify 1 into 1 13.163 * [backup-simplify]: Simplify (/ -1 1) into -1 13.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.163 * [taylor]: Taking taylor expansion of -1 in x 13.163 * [backup-simplify]: Simplify -1 into -1 13.163 * [taylor]: Taking taylor expansion of x in x 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * [backup-simplify]: Simplify 1 into 1 13.164 * [backup-simplify]: Simplify (/ -1 1) into -1 13.164 * [backup-simplify]: Simplify (* -1 -1) into 1 13.164 * [backup-simplify]: Simplify (+ 0 1) into 1 13.165 * [backup-simplify]: Simplify (sqrt 1) into 1 13.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.167 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.167 * [backup-simplify]: Simplify (+ 0 0) into 0 13.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.168 * [backup-simplify]: Simplify (/ 1 1) into 1 13.168 * [taylor]: Taking taylor expansion of 1/2 in x 13.168 * [backup-simplify]: Simplify 1/2 into 1/2 13.169 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.169 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 13.170 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.172 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 13.172 * [taylor]: Taking taylor expansion of 1 in x 13.172 * [backup-simplify]: Simplify 1 into 1 13.173 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 13.174 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 13.176 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 13.181 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 13.181 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 13.181 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 13.181 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 13.181 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.181 * [taylor]: Taking taylor expansion of 1/2 in x 13.181 * [backup-simplify]: Simplify 1/2 into 1/2 13.181 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.181 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.181 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.181 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.181 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.181 * [taylor]: Taking taylor expansion of 1 in x 13.181 * [backup-simplify]: Simplify 1 into 1 13.181 * [taylor]: Taking taylor expansion of 1 in x 13.181 * [backup-simplify]: Simplify 1 into 1 13.181 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.181 * [taylor]: Taking taylor expansion of -1 in x 13.181 * [backup-simplify]: Simplify -1 into -1 13.181 * [taylor]: Taking taylor expansion of x in x 13.181 * [backup-simplify]: Simplify 0 into 0 13.181 * [backup-simplify]: Simplify 1 into 1 13.182 * [backup-simplify]: Simplify (/ -1 1) into -1 13.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.182 * [taylor]: Taking taylor expansion of -1 in x 13.182 * [backup-simplify]: Simplify -1 into -1 13.182 * [taylor]: Taking taylor expansion of x in x 13.182 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify 1 into 1 13.182 * [backup-simplify]: Simplify (/ -1 1) into -1 13.183 * [backup-simplify]: Simplify (* -1 -1) into 1 13.183 * [backup-simplify]: Simplify (+ 0 1) into 1 13.184 * [backup-simplify]: Simplify (sqrt 1) into 1 13.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.186 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.186 * [backup-simplify]: Simplify (+ 0 0) into 0 13.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.188 * [backup-simplify]: Simplify (/ 1 1) into 1 13.188 * [taylor]: Taking taylor expansion of 1/2 in x 13.188 * [backup-simplify]: Simplify 1/2 into 1/2 13.188 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.189 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 13.196 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.197 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.198 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 13.198 * [taylor]: Taking taylor expansion of 1 in x 13.198 * [backup-simplify]: Simplify 1 into 1 13.199 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 13.201 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 13.202 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 13.208 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 13.208 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.208 * [taylor]: Taking taylor expansion of 1/2 in x 13.208 * [backup-simplify]: Simplify 1/2 into 1/2 13.208 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.208 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.208 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.208 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.208 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.208 * [taylor]: Taking taylor expansion of 1 in x 13.208 * [backup-simplify]: Simplify 1 into 1 13.208 * [taylor]: Taking taylor expansion of 1 in x 13.208 * [backup-simplify]: Simplify 1 into 1 13.208 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.208 * [taylor]: Taking taylor expansion of -1 in x 13.208 * [backup-simplify]: Simplify -1 into -1 13.208 * [taylor]: Taking taylor expansion of x in x 13.208 * [backup-simplify]: Simplify 0 into 0 13.208 * [backup-simplify]: Simplify 1 into 1 13.209 * [backup-simplify]: Simplify (/ -1 1) into -1 13.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.209 * [taylor]: Taking taylor expansion of -1 in x 13.209 * [backup-simplify]: Simplify -1 into -1 13.209 * [taylor]: Taking taylor expansion of x in x 13.209 * [backup-simplify]: Simplify 0 into 0 13.209 * [backup-simplify]: Simplify 1 into 1 13.209 * [backup-simplify]: Simplify (/ -1 1) into -1 13.210 * [backup-simplify]: Simplify (* -1 -1) into 1 13.210 * [backup-simplify]: Simplify (+ 0 1) into 1 13.210 * [backup-simplify]: Simplify (sqrt 1) into 1 13.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.213 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.213 * [backup-simplify]: Simplify (+ 0 0) into 0 13.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.214 * [backup-simplify]: Simplify (/ 1 1) into 1 13.214 * [taylor]: Taking taylor expansion of 1/2 in x 13.214 * [backup-simplify]: Simplify 1/2 into 1/2 13.215 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 13.217 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 13.220 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 13.221 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.222 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 13.225 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 13.228 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 13.229 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 13.233 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 13.250 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/4 (/ 1 (sqrt 1/2))) 13.251 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.251 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.254 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 13.274 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 13.314 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 13.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.315 * [backup-simplify]: Simplify (+ 0 0) into 0 13.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 13.316 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 13.319 * [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))) 13.325 * [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)))) 13.336 * [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)))) 13.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.337 * [backup-simplify]: Simplify (+ 0 0) into 0 13.343 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 13.346 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 13.362 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 13.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.363 * [backup-simplify]: Simplify (+ 0 0) into 0 13.367 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 13.368 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 13.381 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 13.440 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (sqrt (+ (sqrt 1/2) 1))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 13.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.442 * [backup-simplify]: Simplify (+ 0 0) into 0 13.445 * [backup-simplify]: Simplify (+ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 13.537 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 13.706 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 13.897 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 (- x))) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/4 (/ (sqrt 1/8) (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2))))))))))))) 13.898 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 13.898 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 13.898 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 13.898 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 13.898 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 13.898 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 13.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.898 * [taylor]: Taking taylor expansion of 1/2 in x 13.898 * [backup-simplify]: Simplify 1/2 into 1/2 13.898 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.898 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.898 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.898 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.898 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.898 * [taylor]: Taking taylor expansion of 1 in x 13.898 * [backup-simplify]: Simplify 1 into 1 13.898 * [taylor]: Taking taylor expansion of 1 in x 13.898 * [backup-simplify]: Simplify 1 into 1 13.898 * [taylor]: Taking taylor expansion of (* x x) in x 13.898 * [taylor]: Taking taylor expansion of x in x 13.898 * [backup-simplify]: Simplify 0 into 0 13.898 * [backup-simplify]: Simplify 1 into 1 13.898 * [taylor]: Taking taylor expansion of x in x 13.898 * [backup-simplify]: Simplify 0 into 0 13.898 * [backup-simplify]: Simplify 1 into 1 13.899 * [backup-simplify]: Simplify (* 1 1) into 1 13.899 * [backup-simplify]: Simplify (* 0 0) into 0 13.900 * [backup-simplify]: Simplify (+ 1 0) into 1 13.900 * [backup-simplify]: Simplify (sqrt 1) into 1 13.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.901 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.901 * [backup-simplify]: Simplify (+ 0 0) into 0 13.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.902 * [backup-simplify]: Simplify (/ 1 1) into 1 13.902 * [taylor]: Taking taylor expansion of 1/2 in x 13.902 * [backup-simplify]: Simplify 1/2 into 1/2 13.902 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.902 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 13.902 * [backup-simplify]: Simplify (* 1 1) into 1 13.903 * [backup-simplify]: Simplify (* 1 1) into 1 13.903 * [backup-simplify]: Simplify (sqrt 1) into 1 13.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.904 * [backup-simplify]: Simplify (+ 0 0) into 0 13.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.905 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 13.905 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 13.905 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 13.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.905 * [taylor]: Taking taylor expansion of 1/2 in x 13.905 * [backup-simplify]: Simplify 1/2 into 1/2 13.905 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.905 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.905 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.905 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.905 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.906 * [taylor]: Taking taylor expansion of 1 in x 13.906 * [backup-simplify]: Simplify 1 into 1 13.906 * [taylor]: Taking taylor expansion of 1 in x 13.906 * [backup-simplify]: Simplify 1 into 1 13.906 * [taylor]: Taking taylor expansion of (* x x) in x 13.906 * [taylor]: Taking taylor expansion of x in x 13.906 * [backup-simplify]: Simplify 0 into 0 13.906 * [backup-simplify]: Simplify 1 into 1 13.906 * [taylor]: Taking taylor expansion of x in x 13.906 * [backup-simplify]: Simplify 0 into 0 13.906 * [backup-simplify]: Simplify 1 into 1 13.906 * [backup-simplify]: Simplify (* 1 1) into 1 13.906 * [backup-simplify]: Simplify (* 0 0) into 0 13.906 * [backup-simplify]: Simplify (+ 1 0) into 1 13.907 * [backup-simplify]: Simplify (sqrt 1) into 1 13.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.907 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.908 * [backup-simplify]: Simplify (+ 0 0) into 0 13.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.908 * [backup-simplify]: Simplify (/ 1 1) into 1 13.908 * [taylor]: Taking taylor expansion of 1/2 in x 13.908 * [backup-simplify]: Simplify 1/2 into 1/2 13.909 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.909 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 13.909 * [backup-simplify]: Simplify (* 1 1) into 1 13.909 * [backup-simplify]: Simplify (* 1 1) into 1 13.910 * [backup-simplify]: Simplify (sqrt 1) into 1 13.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.911 * [backup-simplify]: Simplify (+ 0 0) into 0 13.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.913 * [backup-simplify]: Simplify 1 into 1 13.913 * [backup-simplify]: Simplify 0 into 0 13.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.914 * [backup-simplify]: Simplify (+ 0 1) into 1 13.915 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.917 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.917 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 13.917 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 13.918 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 13.919 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 13.919 * [backup-simplify]: Simplify -3/8 into -3/8 13.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.920 * [backup-simplify]: Simplify (+ 0 0) into 0 13.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.924 * [backup-simplify]: Simplify (+ 0 0) into 0 13.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 13.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 13.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 13.928 * [backup-simplify]: Simplify 0 into 0 13.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.931 * [backup-simplify]: Simplify (+ 0 0) into 0 13.932 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.935 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.936 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 13.937 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 13.939 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 13.941 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 13.941 * [backup-simplify]: Simplify 39/128 into 39/128 13.941 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 13.942 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 13.942 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 13.942 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 13.942 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 13.942 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 13.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.942 * [taylor]: Taking taylor expansion of 1/2 in x 13.942 * [backup-simplify]: Simplify 1/2 into 1/2 13.942 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.942 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.942 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.942 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.942 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.942 * [taylor]: Taking taylor expansion of 1 in x 13.942 * [backup-simplify]: Simplify 1 into 1 13.942 * [taylor]: Taking taylor expansion of 1 in x 13.942 * [backup-simplify]: Simplify 1 into 1 13.942 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.942 * [taylor]: Taking taylor expansion of x in x 13.942 * [backup-simplify]: Simplify 0 into 0 13.942 * [backup-simplify]: Simplify 1 into 1 13.943 * [backup-simplify]: Simplify (/ 1 1) into 1 13.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.943 * [taylor]: Taking taylor expansion of x in x 13.943 * [backup-simplify]: Simplify 0 into 0 13.943 * [backup-simplify]: Simplify 1 into 1 13.943 * [backup-simplify]: Simplify (/ 1 1) into 1 13.943 * [backup-simplify]: Simplify (* 1 1) into 1 13.944 * [backup-simplify]: Simplify (+ 0 1) into 1 13.944 * [backup-simplify]: Simplify (sqrt 1) into 1 13.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.947 * [backup-simplify]: Simplify (+ 0 0) into 0 13.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.948 * [backup-simplify]: Simplify (/ 1 1) into 1 13.948 * [taylor]: Taking taylor expansion of 1/2 in x 13.948 * [backup-simplify]: Simplify 1/2 into 1/2 13.948 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.949 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.949 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 13.950 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.950 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.951 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.951 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 13.952 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 13.953 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 13.953 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 13.953 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 13.954 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 13.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.954 * [taylor]: Taking taylor expansion of 1/2 in x 13.954 * [backup-simplify]: Simplify 1/2 into 1/2 13.954 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.954 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.954 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.954 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.954 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.954 * [taylor]: Taking taylor expansion of 1 in x 13.954 * [backup-simplify]: Simplify 1 into 1 13.954 * [taylor]: Taking taylor expansion of 1 in x 13.954 * [backup-simplify]: Simplify 1 into 1 13.954 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.954 * [taylor]: Taking taylor expansion of x in x 13.954 * [backup-simplify]: Simplify 0 into 0 13.954 * [backup-simplify]: Simplify 1 into 1 13.954 * [backup-simplify]: Simplify (/ 1 1) into 1 13.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.954 * [taylor]: Taking taylor expansion of x in x 13.954 * [backup-simplify]: Simplify 0 into 0 13.955 * [backup-simplify]: Simplify 1 into 1 13.955 * [backup-simplify]: Simplify (/ 1 1) into 1 13.955 * [backup-simplify]: Simplify (* 1 1) into 1 13.956 * [backup-simplify]: Simplify (+ 0 1) into 1 13.956 * [backup-simplify]: Simplify (sqrt 1) into 1 13.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.959 * [backup-simplify]: Simplify (+ 0 0) into 0 13.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.960 * [backup-simplify]: Simplify (/ 1 1) into 1 13.960 * [taylor]: Taking taylor expansion of 1/2 in x 13.960 * [backup-simplify]: Simplify 1/2 into 1/2 13.960 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.960 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.961 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 13.961 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.962 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.962 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.963 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 13.963 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 13.972 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 13.972 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.973 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 13.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.975 * [backup-simplify]: Simplify (+ 0 0) into 0 13.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 13.977 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 13.983 * [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))) 13.990 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 13.995 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 13.995 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 13.995 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 13.995 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 13.995 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 13.995 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.995 * [taylor]: Taking taylor expansion of 1/2 in x 13.995 * [backup-simplify]: Simplify 1/2 into 1/2 13.995 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.995 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.995 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.995 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.995 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.995 * [taylor]: Taking taylor expansion of 1 in x 13.995 * [backup-simplify]: Simplify 1 into 1 13.995 * [taylor]: Taking taylor expansion of 1 in x 13.995 * [backup-simplify]: Simplify 1 into 1 13.995 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.995 * [taylor]: Taking taylor expansion of -1 in x 13.995 * [backup-simplify]: Simplify -1 into -1 13.996 * [taylor]: Taking taylor expansion of x in x 13.996 * [backup-simplify]: Simplify 0 into 0 13.996 * [backup-simplify]: Simplify 1 into 1 13.996 * [backup-simplify]: Simplify (/ -1 1) into -1 13.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.996 * [taylor]: Taking taylor expansion of -1 in x 13.996 * [backup-simplify]: Simplify -1 into -1 13.996 * [taylor]: Taking taylor expansion of x in x 13.996 * [backup-simplify]: Simplify 0 into 0 13.996 * [backup-simplify]: Simplify 1 into 1 13.996 * [backup-simplify]: Simplify (/ -1 1) into -1 13.996 * [backup-simplify]: Simplify (* -1 -1) into 1 13.997 * [backup-simplify]: Simplify (+ 0 1) into 1 13.997 * [backup-simplify]: Simplify (sqrt 1) into 1 13.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.998 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.999 * [backup-simplify]: Simplify (+ 0 0) into 0 13.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.999 * [backup-simplify]: Simplify (/ 1 1) into 1 13.999 * [taylor]: Taking taylor expansion of 1/2 in x 13.999 * [backup-simplify]: Simplify 1/2 into 1/2 14.000 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.000 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 14.000 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 14.001 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 14.001 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.001 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.001 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 14.002 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 14.003 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 14.003 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 14.003 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 14.003 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 14.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 14.003 * [taylor]: Taking taylor expansion of 1/2 in x 14.003 * [backup-simplify]: Simplify 1/2 into 1/2 14.003 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 14.003 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.003 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.003 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.003 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.003 * [taylor]: Taking taylor expansion of 1 in x 14.003 * [backup-simplify]: Simplify 1 into 1 14.003 * [taylor]: Taking taylor expansion of 1 in x 14.003 * [backup-simplify]: Simplify 1 into 1 14.003 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.003 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.003 * [taylor]: Taking taylor expansion of -1 in x 14.003 * [backup-simplify]: Simplify -1 into -1 14.003 * [taylor]: Taking taylor expansion of x in x 14.003 * [backup-simplify]: Simplify 0 into 0 14.003 * [backup-simplify]: Simplify 1 into 1 14.003 * [backup-simplify]: Simplify (/ -1 1) into -1 14.003 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.003 * [taylor]: Taking taylor expansion of -1 in x 14.003 * [backup-simplify]: Simplify -1 into -1 14.003 * [taylor]: Taking taylor expansion of x in x 14.003 * [backup-simplify]: Simplify 0 into 0 14.004 * [backup-simplify]: Simplify 1 into 1 14.004 * [backup-simplify]: Simplify (/ -1 1) into -1 14.004 * [backup-simplify]: Simplify (* -1 -1) into 1 14.004 * [backup-simplify]: Simplify (+ 0 1) into 1 14.004 * [backup-simplify]: Simplify (sqrt 1) into 1 14.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.006 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.006 * [backup-simplify]: Simplify (+ 0 0) into 0 14.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.007 * [backup-simplify]: Simplify (/ 1 1) into 1 14.007 * [taylor]: Taking taylor expansion of 1/2 in x 14.007 * [backup-simplify]: Simplify 1/2 into 1/2 14.007 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.007 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 14.008 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 14.008 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 14.008 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.008 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.009 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 14.009 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 14.010 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 14.010 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 14.011 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 14.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.012 * [backup-simplify]: Simplify (+ 0 0) into 0 14.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 14.013 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 14.016 * [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))) 14.023 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 14.031 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 14.031 * * * [progress]: simplifying candidates 14.032 * * * * [progress]: [ 1 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 2 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 3 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 4 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 5 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 6 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 7 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 8 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 9 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 10 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 11 / 121 ] simplifiying candidate # 14.032 * * * * [progress]: [ 12 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 13 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 14 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 15 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 16 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 17 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 18 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 19 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 20 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 21 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 22 / 121 ] simplifiying candidate # 14.033 * * * * [progress]: [ 23 / 121 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))))> 14.033 * * * * [progress]: [ 24 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 25 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 26 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 27 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 28 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 29 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 30 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 31 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 32 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 33 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 34 / 121 ] simplifiying candidate #real (real->posit16 (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 14.034 * * * * [progress]: [ 35 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 36 / 121 ] simplifiying candidate # 14.034 * * * * [progress]: [ 37 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 38 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 39 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 40 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 41 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 42 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 43 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 44 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 45 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 46 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 47 / 121 ] simplifiying candidate # 14.035 * * * * [progress]: [ 48 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 49 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 50 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 51 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 52 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 53 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 54 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 55 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 56 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 57 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 58 / 121 ] simplifiying candidate # 14.036 * * * * [progress]: [ 59 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 60 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 61 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 62 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 63 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 64 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 65 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 66 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 67 / 121 ] simplifiying candidate #real (real->posit16 (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 14.037 * * * * [progress]: [ 68 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 69 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 70 / 121 ] simplifiying candidate # 14.037 * * * * [progress]: [ 71 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 72 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 73 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 74 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 75 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 76 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 77 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 78 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 79 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 80 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 81 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 82 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 83 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 84 / 121 ] simplifiying candidate # 14.038 * * * * [progress]: [ 85 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 86 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 87 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 88 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 89 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 90 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 91 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 92 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 93 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 94 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 95 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 96 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 97 / 121 ] simplifiying candidate # 14.039 * * * * [progress]: [ 98 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 99 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 100 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 101 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 102 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 103 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 104 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 105 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 106 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 107 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 108 / 121 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))))> 14.040 * * * * [progress]: [ 109 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 110 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 111 / 121 ] simplifiying candidate # 14.040 * * * * [progress]: [ 112 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 113 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 114 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 115 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 116 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 117 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 118 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 119 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 120 / 121 ] simplifiying candidate # 14.041 * * * * [progress]: [ 121 / 121 ] simplifiying candidate # 14.045 * [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 (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (log (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 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16.506 * * [simplify]: Extracting #2: cost 1013 inf + 17 16.513 * * [simplify]: Extracting #3: cost 1301 inf + 5951 16.536 * * [simplify]: Extracting #4: cost 1155 inf + 58372 16.613 * * [simplify]: Extracting #5: cost 745 inf + 180180 16.738 * * [simplify]: Extracting #6: cost 348 inf + 352444 17.006 * * [simplify]: Extracting #7: cost 86 inf + 531916 17.327 * * [simplify]: Extracting #8: cost 6 inf + 609770 17.624 * * [simplify]: Extracting #9: cost 0 inf + 613889 18.001 * * [simplify]: Extracting #10: cost 0 inf + 611302 18.278 * * [simplify]: Extracting #11: cost 0 inf + 611212 18.638 * [simplify]: Simplified to: (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 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))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 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(/ 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 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1/8) (sqrt (+ (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1/8))) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (* (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (sqrt (fma (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/2 (hypot 1 x)) 1/8))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4))) (* (sqrt (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (fma (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/2 (hypot 1 x)) 1/8)) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (* (sqrt (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 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)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (sqrt (+ 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 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/2 (hypot 1 x)) 1/8)) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (fma (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/2 (hypot 1 x)) 1/8)) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))))) (real->posit16 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (* x x) 3/8 (fma (* 275/1024 (* x (* x x))) (* x (* x x)) (* (* (* x x) (* x x)) -39/128))) (+ (- 1 (fma (/ 3/16 (* x x)) (/ 1 (sqrt 1/8)) (fma (/ 3/16 x) (/ 1 (sqrt 1/8)) (sqrt 1/8)))) (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8))) (+ (+ (/ (/ 3/16 x) (sqrt 1/8)) 1) (- (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8)) (+ (/ (/ 3/16 (* x x)) (sqrt 1/8)) (sqrt 1/8)))) (fma -3/8 (* x x) (+ 3 (* 35/128 (* (* x x) (* x x))))) (- (+ (+ (/ 1/2 x) (fma (/ 1/2 (sqrt 1/2)) (/ 1/2 x) (sqrt 1/2))) 3/2) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (- (- (+ 3/2 (- (sqrt 1/2) (/ 1/2 x))) (/ 1/4 (* (sqrt 1/2) x))) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (fma 275/1024 (/ (* x (* x x)) (/ 3 (* x (* x x)))) (+ (+ (* 9/512 (/ (* (* x (* x x)) (* x (* x x))) 9)) (/ (* x x) 8)) (- (* 3/64 (/ (* (* x x) (* x x)) 3)) (fma 39/128 (/ (* (* x x) (* x x)) 3) (* 37/512 (/ (* x (* x x)) (/ 3 (* x (* x x))))))))) (- (+ (+ (/ 3/64 (* (* (sqrt 1/8) (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))) (sqrt 1/2))) (+ (+ (fma (/ 1/2 x) (/ (sqrt 1/8) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))) (+ (+ (/ (/ 1/16 (* (* x x) 1/2)) (* (+ (sqrt 1/2) 3/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)))) (/ (/ 1/4 (* (* (+ (sqrt 1/2) 3/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))) (sqrt 1/2))) (* x x))) (+ (fma (/ 1/4 (* (sqrt 1/2) x)) (/ (sqrt 1/8) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))) (/ 1/32 (* (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)) (* (* (* x x) 1/2) (sqrt 1/2))))) (/ (/ 9/512 (* (* x x) (+ (sqrt 1/2) 3/2))) (* (sqrt 1/8) 1/8))))) (/ (/ 3/32 (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))) (sqrt 1/8))) (/ 1/4 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))))) (/ 1 (+ (sqrt 1/2) 3/2))) (+ (fma (/ 3/16 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))) (/ 1 (* x x)) (+ (fma (/ 1/16 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (sqrt 1/8) 1/2) (/ (/ 1/2 x) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)))) (+ (fma (/ 1/4 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (sqrt 1/8) (sqrt 1/2)) (+ (fma 1/4 (/ (sqrt 1/8) (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (* (sqrt 1/8) 1/32) (* (* (sqrt 1/2) 1/2) (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))))) (/ (/ 1/4 x) (* (sqrt 1/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)))))) (/ (/ 3/16 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))) x)))) (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)))) (+ (+ (+ (+ (/ 3/64 (* (* (* x x) (sqrt 1/8)) (* (sqrt 1/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))))) (+ (/ (/ 1/2 x) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))) (/ 3/32 (* (* (* x x) (sqrt 1/8)) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)))))) (+ (+ (fma (/ 1/16 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) 2 (/ (/ 1/4 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (sqrt 1/2))) (+ (+ (/ (/ 3/16 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))) x) (/ (/ 1/4 x) (* (sqrt 1/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))))) (/ (/ 1/32 (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))) (* (sqrt 1/2) 1/2)))) (/ (/ 9/512 (* (* x x) (+ (sqrt 1/2) 3/2))) (* (sqrt 1/8) 1/8)))) (- (/ 1/4 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (+ (+ (/ 3/16 (* (* (* x x) (sqrt 1/8)) (+ (sqrt 1/2) 3/2))) (fma (/ 1/16 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (sqrt 1/8) 1/2) (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)))) (fma (/ 1/4 (* (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)) x)) (/ (sqrt 1/8) (sqrt 1/2)) (fma 1/4 (/ (sqrt 1/8) (* (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2)) (sqrt 1/2))) (fma (/ (sqrt 1/8) (* (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)) x)) 1/2 (fma 1/4 (/ (sqrt 1/8) (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (* (sqrt 1/8) 1/32) (* (* (sqrt 1/2) 1/2) (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))))))))))) (/ 1 (+ (sqrt 1/2) 3/2))) (fma (* (* x x) (* x x)) 39/128 (- 1 (* 3/8 (* x x)))) (+ (/ -9/512 (* (* (* x x) (sqrt 1/8)) 1/8)) (fma (/ 3/16 (* x x)) (/ 1 (sqrt 1/8)) (fma (/ 3/16 x) (/ 1 (sqrt 1/8)) (sqrt 1/8)))) (- (- (+ (/ (/ 3/16 (* x x)) (sqrt 1/8)) (sqrt 1/8)) (/ (/ 3/16 x) (sqrt 1/8))) (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8))) 18.657 * * * [progress]: adding candidates to table 19.410 * * [progress]: iteration 4 / 4 19.410 * * * [progress]: picking best candidate 19.421 * * * * [pick]: Picked # 19.421 * * * [progress]: localizing error 19.505 * * * [progress]: generating rewritten candidates 19.505 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 19.514 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 19.519 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 19.524 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 20.678 * * * [progress]: generating series expansions 20.678 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 20.679 * [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))) 20.679 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 20.679 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 20.679 * [taylor]: Taking taylor expansion of 1 in x 20.679 * [backup-simplify]: Simplify 1 into 1 20.679 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 20.679 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 20.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 20.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 20.679 * [taylor]: Taking taylor expansion of 1/2 in x 20.679 * [backup-simplify]: Simplify 1/2 into 1/2 20.679 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 20.679 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 20.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 20.679 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 20.679 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.679 * [taylor]: Taking taylor expansion of 1 in x 20.679 * [backup-simplify]: Simplify 1 into 1 20.679 * [taylor]: Taking taylor expansion of 1 in x 20.679 * [backup-simplify]: Simplify 1 into 1 20.679 * [taylor]: Taking taylor expansion of (* x x) in x 20.679 * [taylor]: Taking taylor expansion of x in x 20.679 * [backup-simplify]: Simplify 0 into 0 20.679 * [backup-simplify]: Simplify 1 into 1 20.679 * [taylor]: Taking taylor expansion of x in x 20.679 * [backup-simplify]: Simplify 0 into 0 20.679 * [backup-simplify]: Simplify 1 into 1 20.680 * [backup-simplify]: Simplify (* 1 1) into 1 20.680 * [backup-simplify]: Simplify (* 0 0) into 0 20.680 * [backup-simplify]: Simplify (+ 1 0) into 1 20.680 * [backup-simplify]: Simplify (sqrt 1) into 1 20.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.681 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.681 * [backup-simplify]: Simplify (+ 0 0) into 0 20.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.682 * [backup-simplify]: Simplify (/ 1 1) into 1 20.682 * [taylor]: Taking taylor expansion of 1/2 in x 20.682 * [backup-simplify]: Simplify 1/2 into 1/2 20.682 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.683 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 20.683 * [backup-simplify]: Simplify (* 1 1) into 1 20.683 * [backup-simplify]: Simplify (* 1 1) into 1 20.683 * [backup-simplify]: Simplify (sqrt 1) into 1 20.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.684 * [backup-simplify]: Simplify (+ 0 0) into 0 20.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.686 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 20.686 * [taylor]: Taking taylor expansion of 1 in x 20.686 * [backup-simplify]: Simplify 1 into 1 20.686 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 20.686 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 20.686 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 20.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 20.686 * [taylor]: Taking taylor expansion of 1/2 in x 20.686 * [backup-simplify]: Simplify 1/2 into 1/2 20.686 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 20.686 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 20.686 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 20.686 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 20.686 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.686 * [taylor]: Taking taylor expansion of 1 in x 20.686 * [backup-simplify]: Simplify 1 into 1 20.686 * [taylor]: Taking taylor expansion of 1 in x 20.686 * [backup-simplify]: Simplify 1 into 1 20.686 * [taylor]: Taking taylor expansion of (* x x) in x 20.686 * [taylor]: Taking taylor expansion of x in x 20.686 * [backup-simplify]: Simplify 0 into 0 20.686 * [backup-simplify]: Simplify 1 into 1 20.686 * [taylor]: Taking taylor expansion of x in x 20.686 * [backup-simplify]: Simplify 0 into 0 20.686 * [backup-simplify]: Simplify 1 into 1 20.686 * [backup-simplify]: Simplify (* 1 1) into 1 20.686 * [backup-simplify]: Simplify (* 0 0) into 0 20.687 * [backup-simplify]: Simplify (+ 1 0) into 1 20.687 * [backup-simplify]: Simplify (sqrt 1) into 1 20.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.688 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.688 * [backup-simplify]: Simplify (+ 0 0) into 0 20.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.689 * [backup-simplify]: Simplify (/ 1 1) into 1 20.689 * [taylor]: Taking taylor expansion of 1/2 in x 20.689 * [backup-simplify]: Simplify 1/2 into 1/2 20.689 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.689 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 20.690 * [backup-simplify]: Simplify (* 1 1) into 1 20.690 * [backup-simplify]: Simplify (* 1 1) into 1 20.690 * [backup-simplify]: Simplify (sqrt 1) into 1 20.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.692 * [backup-simplify]: Simplify (+ 0 0) into 0 20.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.695 * [backup-simplify]: Simplify (- 1) into -1 20.695 * [backup-simplify]: Simplify (+ 1 -1) into 0 20.695 * [backup-simplify]: Simplify 0 into 0 20.696 * [backup-simplify]: Simplify (- 0) into 0 20.696 * [backup-simplify]: Simplify (+ 0 0) into 0 20.696 * [backup-simplify]: Simplify 0 into 0 20.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 20.698 * [backup-simplify]: Simplify (+ 0 1) into 1 20.699 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 20.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 20.702 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 20.702 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 20.703 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 20.705 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 20.706 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 20.706 * [backup-simplify]: Simplify (- -3/8) into 3/8 20.707 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 20.707 * [backup-simplify]: Simplify 3/8 into 3/8 20.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 20.709 * [backup-simplify]: Simplify (+ 0 0) into 0 20.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 20.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 20.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 20.714 * [backup-simplify]: Simplify (+ 0 0) into 0 20.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 20.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 20.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 20.716 * [backup-simplify]: Simplify (- 0) into 0 20.716 * [backup-simplify]: Simplify (+ 0 0) into 0 20.716 * [backup-simplify]: Simplify 0 into 0 20.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.718 * [backup-simplify]: Simplify (+ 0 0) into 0 20.719 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 20.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 20.721 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 20.721 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 20.722 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 20.724 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 20.725 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 20.726 * [backup-simplify]: Simplify (- 39/128) into -39/128 20.726 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 20.726 * [backup-simplify]: Simplify -39/128 into -39/128 20.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 20.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 20.728 * [backup-simplify]: Simplify (+ 0 0) into 0 20.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 20.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 20.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 20.731 * [backup-simplify]: Simplify (+ 0 0) into 0 20.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 20.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 20.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 20.735 * [backup-simplify]: Simplify (- 0) into 0 20.735 * [backup-simplify]: Simplify (+ 0 0) into 0 20.735 * [backup-simplify]: Simplify 0 into 0 20.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 20.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 20.737 * [backup-simplify]: Simplify (+ 0 0) into 0 20.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 20.742 * [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 20.744 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 20.745 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 20.747 * [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 20.750 * [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 20.752 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 20.752 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 20.753 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 20.753 * [backup-simplify]: Simplify 275/1024 into 275/1024 20.753 * [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))) 20.753 * [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))) 20.753 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 20.753 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 20.753 * [taylor]: Taking taylor expansion of 1 in x 20.754 * [backup-simplify]: Simplify 1 into 1 20.754 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 20.754 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 20.754 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 20.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 20.754 * [taylor]: Taking taylor expansion of 1/2 in x 20.754 * [backup-simplify]: Simplify 1/2 into 1/2 20.754 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 20.754 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 20.754 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 20.754 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 20.754 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.754 * [taylor]: Taking taylor expansion of 1 in x 20.754 * [backup-simplify]: Simplify 1 into 1 20.754 * [taylor]: Taking taylor expansion of 1 in x 20.754 * [backup-simplify]: Simplify 1 into 1 20.754 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 20.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 20.754 * [taylor]: Taking taylor expansion of x in x 20.754 * [backup-simplify]: Simplify 0 into 0 20.754 * [backup-simplify]: Simplify 1 into 1 20.755 * [backup-simplify]: Simplify (/ 1 1) into 1 20.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 20.755 * [taylor]: Taking taylor expansion of x in x 20.755 * [backup-simplify]: Simplify 0 into 0 20.755 * [backup-simplify]: Simplify 1 into 1 20.755 * [backup-simplify]: Simplify (/ 1 1) into 1 20.755 * [backup-simplify]: Simplify (* 1 1) into 1 20.756 * [backup-simplify]: Simplify (+ 0 1) into 1 20.756 * [backup-simplify]: Simplify (sqrt 1) into 1 20.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.759 * [backup-simplify]: Simplify (+ 0 0) into 0 20.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.760 * [backup-simplify]: Simplify (/ 1 1) into 1 20.760 * [taylor]: Taking taylor expansion of 1/2 in x 20.760 * [backup-simplify]: Simplify 1/2 into 1/2 20.760 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.761 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 20.761 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 20.761 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 20.762 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.762 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.763 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 20.763 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 20.765 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 20.765 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 20.765 * [taylor]: Taking taylor expansion of 1 in x 20.765 * [backup-simplify]: Simplify 1 into 1 20.765 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 20.765 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 20.765 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 20.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 20.766 * [taylor]: Taking taylor expansion of 1/2 in x 20.766 * [backup-simplify]: Simplify 1/2 into 1/2 20.766 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 20.766 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 20.766 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 20.766 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 20.766 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.766 * [taylor]: Taking taylor expansion of 1 in x 20.766 * [backup-simplify]: Simplify 1 into 1 20.766 * [taylor]: Taking taylor expansion of 1 in x 20.766 * [backup-simplify]: Simplify 1 into 1 20.766 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 20.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 20.766 * [taylor]: Taking taylor expansion of x in x 20.766 * [backup-simplify]: Simplify 0 into 0 20.766 * [backup-simplify]: Simplify 1 into 1 20.766 * [backup-simplify]: Simplify (/ 1 1) into 1 20.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 20.766 * [taylor]: Taking taylor expansion of x in x 20.766 * [backup-simplify]: Simplify 0 into 0 20.767 * [backup-simplify]: Simplify 1 into 1 20.767 * [backup-simplify]: Simplify (/ 1 1) into 1 20.767 * [backup-simplify]: Simplify (* 1 1) into 1 20.768 * [backup-simplify]: Simplify (+ 0 1) into 1 20.768 * [backup-simplify]: Simplify (sqrt 1) into 1 20.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.771 * [backup-simplify]: Simplify (+ 0 0) into 0 20.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.772 * [backup-simplify]: Simplify (/ 1 1) into 1 20.772 * [taylor]: Taking taylor expansion of 1/2 in x 20.772 * [backup-simplify]: Simplify 1/2 into 1/2 20.772 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.773 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 20.773 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 20.773 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 20.774 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.774 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.775 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 20.775 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 20.777 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 20.778 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 20.779 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 20.780 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 20.782 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.785 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.787 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.789 * [backup-simplify]: Simplify (+ 0 0) into 0 20.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 20.791 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 20.796 * [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))) 20.806 * [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)))) 20.813 * [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)))) 20.819 * [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)))) 20.828 * [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)))) 20.829 * [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))) 20.829 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 20.829 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 20.829 * [taylor]: Taking taylor expansion of 1 in x 20.829 * [backup-simplify]: Simplify 1 into 1 20.829 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 20.829 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 20.829 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 20.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 20.829 * [taylor]: Taking taylor expansion of 1/2 in x 20.829 * [backup-simplify]: Simplify 1/2 into 1/2 20.829 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 20.829 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 20.829 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 20.829 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 20.829 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.829 * [taylor]: Taking taylor expansion of 1 in x 20.829 * [backup-simplify]: Simplify 1 into 1 20.829 * [taylor]: Taking taylor expansion of 1 in x 20.829 * [backup-simplify]: Simplify 1 into 1 20.829 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 20.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.829 * [taylor]: Taking taylor expansion of -1 in x 20.829 * [backup-simplify]: Simplify -1 into -1 20.830 * [taylor]: Taking taylor expansion of x in x 20.830 * [backup-simplify]: Simplify 0 into 0 20.830 * [backup-simplify]: Simplify 1 into 1 20.830 * [backup-simplify]: Simplify (/ -1 1) into -1 20.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.830 * [taylor]: Taking taylor expansion of -1 in x 20.830 * [backup-simplify]: Simplify -1 into -1 20.830 * [taylor]: Taking taylor expansion of x in x 20.830 * [backup-simplify]: Simplify 0 into 0 20.830 * [backup-simplify]: Simplify 1 into 1 20.831 * [backup-simplify]: Simplify (/ -1 1) into -1 20.831 * [backup-simplify]: Simplify (* -1 -1) into 1 20.831 * [backup-simplify]: Simplify (+ 0 1) into 1 20.832 * [backup-simplify]: Simplify (sqrt 1) into 1 20.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.834 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.834 * [backup-simplify]: Simplify (+ 0 0) into 0 20.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.836 * [backup-simplify]: Simplify (/ 1 1) into 1 20.836 * [taylor]: Taking taylor expansion of 1/2 in x 20.836 * [backup-simplify]: Simplify 1/2 into 1/2 20.836 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.836 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 20.837 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 20.837 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 20.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.838 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.839 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 20.839 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 20.841 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 20.841 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 20.841 * [taylor]: Taking taylor expansion of 1 in x 20.841 * [backup-simplify]: Simplify 1 into 1 20.841 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 20.841 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 20.841 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 20.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 20.841 * [taylor]: Taking taylor expansion of 1/2 in x 20.841 * [backup-simplify]: Simplify 1/2 into 1/2 20.841 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 20.841 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 20.841 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 20.841 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 20.841 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.841 * [taylor]: Taking taylor expansion of 1 in x 20.841 * [backup-simplify]: Simplify 1 into 1 20.841 * [taylor]: Taking taylor expansion of 1 in x 20.842 * [backup-simplify]: Simplify 1 into 1 20.842 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 20.842 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.842 * [taylor]: Taking taylor expansion of -1 in x 20.842 * [backup-simplify]: Simplify -1 into -1 20.842 * [taylor]: Taking taylor expansion of x in x 20.842 * [backup-simplify]: Simplify 0 into 0 20.842 * [backup-simplify]: Simplify 1 into 1 20.842 * [backup-simplify]: Simplify (/ -1 1) into -1 20.842 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.842 * [taylor]: Taking taylor expansion of -1 in x 20.842 * [backup-simplify]: Simplify -1 into -1 20.842 * [taylor]: Taking taylor expansion of x in x 20.842 * [backup-simplify]: Simplify 0 into 0 20.842 * [backup-simplify]: Simplify 1 into 1 20.843 * [backup-simplify]: Simplify (/ -1 1) into -1 20.843 * [backup-simplify]: Simplify (* -1 -1) into 1 20.843 * [backup-simplify]: Simplify (+ 0 1) into 1 20.844 * [backup-simplify]: Simplify (sqrt 1) into 1 20.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.846 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.847 * [backup-simplify]: Simplify (+ 0 0) into 0 20.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.848 * [backup-simplify]: Simplify (/ 1 1) into 1 20.848 * [taylor]: Taking taylor expansion of 1/2 in x 20.848 * [backup-simplify]: Simplify 1/2 into 1/2 20.848 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.848 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 20.849 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 20.849 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 20.850 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.850 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.851 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 20.851 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 20.855 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 20.856 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 20.857 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 20.858 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 20.859 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.863 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.865 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.867 * [backup-simplify]: Simplify (+ 0 0) into 0 20.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 20.869 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 20.874 * [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))) 20.879 * [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)))) 20.883 * [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)))) 20.887 * [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)))) 20.892 * [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))) 20.892 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 20.892 * [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))) 20.892 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 20.892 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 20.892 * [taylor]: Taking taylor expansion of 1 in x 20.892 * [backup-simplify]: Simplify 1 into 1 20.892 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 20.892 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 20.892 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 20.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 20.892 * [taylor]: Taking taylor expansion of 1/2 in x 20.892 * [backup-simplify]: Simplify 1/2 into 1/2 20.892 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 20.892 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 20.892 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 20.892 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 20.892 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.892 * [taylor]: Taking taylor expansion of 1 in x 20.892 * [backup-simplify]: Simplify 1 into 1 20.892 * [taylor]: Taking taylor expansion of 1 in x 20.892 * [backup-simplify]: Simplify 1 into 1 20.893 * [taylor]: Taking taylor expansion of (* x x) in x 20.893 * [taylor]: Taking taylor expansion of x in x 20.893 * [backup-simplify]: Simplify 0 into 0 20.893 * [backup-simplify]: Simplify 1 into 1 20.893 * [taylor]: Taking taylor expansion of x in x 20.893 * [backup-simplify]: Simplify 0 into 0 20.893 * [backup-simplify]: Simplify 1 into 1 20.893 * [backup-simplify]: Simplify (* 1 1) into 1 20.893 * [backup-simplify]: Simplify (* 0 0) into 0 20.893 * [backup-simplify]: Simplify (+ 1 0) into 1 20.894 * [backup-simplify]: Simplify (sqrt 1) into 1 20.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.894 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.895 * [backup-simplify]: Simplify (+ 0 0) into 0 20.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.895 * [backup-simplify]: Simplify (/ 1 1) into 1 20.895 * [taylor]: Taking taylor expansion of 1/2 in x 20.895 * [backup-simplify]: Simplify 1/2 into 1/2 20.895 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.896 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 20.896 * [backup-simplify]: Simplify (* 1 1) into 1 20.896 * [backup-simplify]: Simplify (* 1 1) into 1 20.896 * [backup-simplify]: Simplify (sqrt 1) into 1 20.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.898 * [backup-simplify]: Simplify (+ 0 0) into 0 20.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.899 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 20.899 * [taylor]: Taking taylor expansion of 1 in x 20.899 * [backup-simplify]: Simplify 1 into 1 20.899 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 20.899 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 20.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 20.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 20.899 * [taylor]: Taking taylor expansion of 1/2 in x 20.899 * [backup-simplify]: Simplify 1/2 into 1/2 20.899 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 20.899 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 20.899 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 20.899 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 20.899 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.899 * [taylor]: Taking taylor expansion of 1 in x 20.899 * [backup-simplify]: Simplify 1 into 1 20.899 * [taylor]: Taking taylor expansion of 1 in x 20.899 * [backup-simplify]: Simplify 1 into 1 20.899 * [taylor]: Taking taylor expansion of (* x x) in x 20.899 * [taylor]: Taking taylor expansion of x in x 20.899 * [backup-simplify]: Simplify 0 into 0 20.899 * [backup-simplify]: Simplify 1 into 1 20.899 * [taylor]: Taking taylor expansion of x in x 20.899 * [backup-simplify]: Simplify 0 into 0 20.899 * [backup-simplify]: Simplify 1 into 1 20.899 * [backup-simplify]: Simplify (* 1 1) into 1 20.900 * [backup-simplify]: Simplify (* 0 0) into 0 20.900 * [backup-simplify]: Simplify (+ 1 0) into 1 20.900 * [backup-simplify]: Simplify (sqrt 1) into 1 20.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.901 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.901 * [backup-simplify]: Simplify (+ 0 0) into 0 20.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.902 * [backup-simplify]: Simplify (/ 1 1) into 1 20.902 * [taylor]: Taking taylor expansion of 1/2 in x 20.902 * [backup-simplify]: Simplify 1/2 into 1/2 20.902 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.902 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 20.903 * [backup-simplify]: Simplify (* 1 1) into 1 20.903 * [backup-simplify]: Simplify (* 1 1) into 1 20.903 * [backup-simplify]: Simplify (sqrt 1) into 1 20.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.904 * [backup-simplify]: Simplify (+ 0 0) into 0 20.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.906 * [backup-simplify]: Simplify (- 1) into -1 20.906 * [backup-simplify]: Simplify (+ 1 -1) into 0 20.906 * [backup-simplify]: Simplify 0 into 0 20.907 * [backup-simplify]: Simplify (- 0) into 0 20.907 * [backup-simplify]: Simplify (+ 0 0) into 0 20.907 * [backup-simplify]: Simplify 0 into 0 20.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 20.909 * [backup-simplify]: Simplify (+ 0 1) into 1 20.910 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 20.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 20.912 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 20.913 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 20.914 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 20.915 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 20.916 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 20.916 * [backup-simplify]: Simplify (- -3/8) into 3/8 20.917 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 20.917 * [backup-simplify]: Simplify 3/8 into 3/8 20.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 20.919 * [backup-simplify]: Simplify (+ 0 0) into 0 20.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 20.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 20.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 20.924 * [backup-simplify]: Simplify (+ 0 0) into 0 20.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 20.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 20.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 20.928 * [backup-simplify]: Simplify (- 0) into 0 20.929 * [backup-simplify]: Simplify (+ 0 0) into 0 20.929 * [backup-simplify]: Simplify 0 into 0 20.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.932 * [backup-simplify]: Simplify (+ 0 0) into 0 20.933 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 20.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 20.936 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 20.937 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 20.938 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 20.940 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 20.942 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 20.942 * [backup-simplify]: Simplify (- 39/128) into -39/128 20.943 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 20.943 * [backup-simplify]: Simplify -39/128 into -39/128 20.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 20.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 20.946 * [backup-simplify]: Simplify (+ 0 0) into 0 20.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 20.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 20.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 20.953 * [backup-simplify]: Simplify (+ 0 0) into 0 20.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 20.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 20.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 20.959 * [backup-simplify]: Simplify (- 0) into 0 20.960 * [backup-simplify]: Simplify (+ 0 0) into 0 20.960 * [backup-simplify]: Simplify 0 into 0 20.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 20.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 20.963 * [backup-simplify]: Simplify (+ 0 0) into 0 20.965 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 20.968 * [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 20.970 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 20.970 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 20.974 * [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 20.978 * [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 20.979 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 20.979 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 20.979 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 20.979 * [backup-simplify]: Simplify 275/1024 into 275/1024 20.980 * [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))) 20.980 * [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))) 20.980 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 20.980 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 20.980 * [taylor]: Taking taylor expansion of 1 in x 20.980 * [backup-simplify]: Simplify 1 into 1 20.980 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 20.980 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 20.980 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 20.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 20.980 * [taylor]: Taking taylor expansion of 1/2 in x 20.980 * [backup-simplify]: Simplify 1/2 into 1/2 20.980 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 20.980 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 20.980 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 20.980 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 20.980 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.980 * [taylor]: Taking taylor expansion of 1 in x 20.980 * [backup-simplify]: Simplify 1 into 1 20.980 * [taylor]: Taking taylor expansion of 1 in x 20.980 * [backup-simplify]: Simplify 1 into 1 20.980 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 20.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 20.980 * [taylor]: Taking taylor expansion of x in x 20.980 * [backup-simplify]: Simplify 0 into 0 20.980 * [backup-simplify]: Simplify 1 into 1 20.980 * [backup-simplify]: Simplify (/ 1 1) into 1 20.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 20.980 * [taylor]: Taking taylor expansion of x in x 20.981 * [backup-simplify]: Simplify 0 into 0 20.981 * [backup-simplify]: Simplify 1 into 1 20.981 * [backup-simplify]: Simplify (/ 1 1) into 1 20.981 * [backup-simplify]: Simplify (* 1 1) into 1 20.981 * [backup-simplify]: Simplify (+ 0 1) into 1 20.981 * [backup-simplify]: Simplify (sqrt 1) into 1 20.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.983 * [backup-simplify]: Simplify (+ 0 0) into 0 20.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.984 * [backup-simplify]: Simplify (/ 1 1) into 1 20.984 * [taylor]: Taking taylor expansion of 1/2 in x 20.984 * [backup-simplify]: Simplify 1/2 into 1/2 20.984 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.984 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 20.984 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 20.985 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 20.985 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.985 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.985 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 20.986 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 20.987 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 20.987 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 20.987 * [taylor]: Taking taylor expansion of 1 in x 20.987 * [backup-simplify]: Simplify 1 into 1 20.987 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 20.987 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 20.987 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 20.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 20.987 * [taylor]: Taking taylor expansion of 1/2 in x 20.987 * [backup-simplify]: Simplify 1/2 into 1/2 20.987 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 20.987 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 20.987 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 20.987 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 20.987 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.987 * [taylor]: Taking taylor expansion of 1 in x 20.987 * [backup-simplify]: Simplify 1 into 1 20.987 * [taylor]: Taking taylor expansion of 1 in x 20.987 * [backup-simplify]: Simplify 1 into 1 20.987 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 20.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 20.987 * [taylor]: Taking taylor expansion of x in x 20.987 * [backup-simplify]: Simplify 0 into 0 20.987 * [backup-simplify]: Simplify 1 into 1 20.987 * [backup-simplify]: Simplify (/ 1 1) into 1 20.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 20.987 * [taylor]: Taking taylor expansion of x in x 20.988 * [backup-simplify]: Simplify 0 into 0 20.988 * [backup-simplify]: Simplify 1 into 1 20.988 * [backup-simplify]: Simplify (/ 1 1) into 1 20.988 * [backup-simplify]: Simplify (* 1 1) into 1 20.988 * [backup-simplify]: Simplify (+ 0 1) into 1 20.988 * [backup-simplify]: Simplify (sqrt 1) into 1 20.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.990 * [backup-simplify]: Simplify (+ 0 0) into 0 20.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.991 * [backup-simplify]: Simplify (/ 1 1) into 1 20.991 * [taylor]: Taking taylor expansion of 1/2 in x 20.991 * [backup-simplify]: Simplify 1/2 into 1/2 20.991 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.991 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 20.991 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 20.992 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 20.992 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.992 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.992 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 20.993 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 20.994 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 20.994 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 20.995 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 20.996 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 20.997 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.999 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.000 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.001 * [backup-simplify]: Simplify (+ 0 0) into 0 21.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 21.002 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 21.005 * [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))) 21.014 * [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)))) 21.022 * [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)))) 21.028 * [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)))) 21.037 * [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)))) 21.038 * [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))) 21.038 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 21.038 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 21.038 * [taylor]: Taking taylor expansion of 1 in x 21.038 * [backup-simplify]: Simplify 1 into 1 21.038 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 21.038 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 21.038 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 21.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 21.038 * [taylor]: Taking taylor expansion of 1/2 in x 21.038 * [backup-simplify]: Simplify 1/2 into 1/2 21.038 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 21.038 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 21.038 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 21.038 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 21.038 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.038 * [taylor]: Taking taylor expansion of 1 in x 21.038 * [backup-simplify]: Simplify 1 into 1 21.038 * [taylor]: Taking taylor expansion of 1 in x 21.038 * [backup-simplify]: Simplify 1 into 1 21.038 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.038 * [taylor]: Taking taylor expansion of -1 in x 21.038 * [backup-simplify]: Simplify -1 into -1 21.039 * [taylor]: Taking taylor expansion of x in x 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [backup-simplify]: Simplify 1 into 1 21.039 * [backup-simplify]: Simplify (/ -1 1) into -1 21.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.039 * [taylor]: Taking taylor expansion of -1 in x 21.039 * [backup-simplify]: Simplify -1 into -1 21.039 * [taylor]: Taking taylor expansion of x in x 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [backup-simplify]: Simplify 1 into 1 21.040 * [backup-simplify]: Simplify (/ -1 1) into -1 21.040 * [backup-simplify]: Simplify (* -1 -1) into 1 21.040 * [backup-simplify]: Simplify (+ 0 1) into 1 21.041 * [backup-simplify]: Simplify (sqrt 1) into 1 21.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.043 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.044 * [backup-simplify]: Simplify (+ 0 0) into 0 21.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.045 * [backup-simplify]: Simplify (/ 1 1) into 1 21.045 * [taylor]: Taking taylor expansion of 1/2 in x 21.045 * [backup-simplify]: Simplify 1/2 into 1/2 21.045 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.046 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 21.046 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 21.046 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 21.047 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.047 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.048 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 21.048 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 21.050 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 21.050 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 21.050 * [taylor]: Taking taylor expansion of 1 in x 21.050 * [backup-simplify]: Simplify 1 into 1 21.050 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 21.050 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 21.050 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 21.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 21.050 * [taylor]: Taking taylor expansion of 1/2 in x 21.050 * [backup-simplify]: Simplify 1/2 into 1/2 21.050 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 21.050 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 21.050 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 21.050 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 21.050 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.050 * [taylor]: Taking taylor expansion of 1 in x 21.050 * [backup-simplify]: Simplify 1 into 1 21.050 * [taylor]: Taking taylor expansion of 1 in x 21.050 * [backup-simplify]: Simplify 1 into 1 21.050 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.051 * [taylor]: Taking taylor expansion of -1 in x 21.051 * [backup-simplify]: Simplify -1 into -1 21.051 * [taylor]: Taking taylor expansion of x in x 21.051 * [backup-simplify]: Simplify 0 into 0 21.051 * [backup-simplify]: Simplify 1 into 1 21.051 * [backup-simplify]: Simplify (/ -1 1) into -1 21.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.051 * [taylor]: Taking taylor expansion of -1 in x 21.051 * [backup-simplify]: Simplify -1 into -1 21.051 * [taylor]: Taking taylor expansion of x in x 21.051 * [backup-simplify]: Simplify 0 into 0 21.051 * [backup-simplify]: Simplify 1 into 1 21.052 * [backup-simplify]: Simplify (/ -1 1) into -1 21.052 * [backup-simplify]: Simplify (* -1 -1) into 1 21.052 * [backup-simplify]: Simplify (+ 0 1) into 1 21.053 * [backup-simplify]: Simplify (sqrt 1) into 1 21.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.055 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.056 * [backup-simplify]: Simplify (+ 0 0) into 0 21.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.057 * [backup-simplify]: Simplify (/ 1 1) into 1 21.057 * [taylor]: Taking taylor expansion of 1/2 in x 21.057 * [backup-simplify]: Simplify 1/2 into 1/2 21.057 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.057 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 21.058 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 21.058 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 21.059 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.059 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.060 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 21.060 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 21.062 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 21.063 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 21.064 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 21.065 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 21.067 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.070 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.073 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.075 * [backup-simplify]: Simplify (+ 0 0) into 0 21.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 21.077 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 21.082 * [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))) 21.091 * [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)))) 21.101 * [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)))) 21.107 * [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)))) 21.116 * [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))) 21.116 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 21.117 * [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))) 21.117 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 21.117 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 21.117 * [taylor]: Taking taylor expansion of 1 in x 21.117 * [backup-simplify]: Simplify 1 into 1 21.117 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 21.117 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 21.117 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 21.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 21.117 * [taylor]: Taking taylor expansion of 1/2 in x 21.117 * [backup-simplify]: Simplify 1/2 into 1/2 21.117 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 21.117 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 21.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 21.117 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 21.117 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.117 * [taylor]: Taking taylor expansion of 1 in x 21.118 * [backup-simplify]: Simplify 1 into 1 21.118 * [taylor]: Taking taylor expansion of 1 in x 21.118 * [backup-simplify]: Simplify 1 into 1 21.118 * [taylor]: Taking taylor expansion of (* x x) in x 21.118 * [taylor]: Taking taylor expansion of x in x 21.118 * [backup-simplify]: Simplify 0 into 0 21.118 * [backup-simplify]: Simplify 1 into 1 21.118 * [taylor]: Taking taylor expansion of x in x 21.118 * [backup-simplify]: Simplify 0 into 0 21.118 * [backup-simplify]: Simplify 1 into 1 21.118 * [backup-simplify]: Simplify (* 1 1) into 1 21.119 * [backup-simplify]: Simplify (* 0 0) into 0 21.119 * [backup-simplify]: Simplify (+ 1 0) into 1 21.119 * [backup-simplify]: Simplify (sqrt 1) into 1 21.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.121 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.121 * [backup-simplify]: Simplify (+ 0 0) into 0 21.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.122 * [backup-simplify]: Simplify (/ 1 1) into 1 21.122 * [taylor]: Taking taylor expansion of 1/2 in x 21.122 * [backup-simplify]: Simplify 1/2 into 1/2 21.123 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.123 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 21.123 * [backup-simplify]: Simplify (* 1 1) into 1 21.124 * [backup-simplify]: Simplify (* 1 1) into 1 21.124 * [backup-simplify]: Simplify (sqrt 1) into 1 21.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.126 * [backup-simplify]: Simplify (+ 0 0) into 0 21.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.128 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 21.128 * [taylor]: Taking taylor expansion of 1 in x 21.128 * [backup-simplify]: Simplify 1 into 1 21.128 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 21.128 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 21.129 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 21.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 21.129 * [taylor]: Taking taylor expansion of 1/2 in x 21.129 * [backup-simplify]: Simplify 1/2 into 1/2 21.129 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 21.129 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 21.129 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 21.129 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 21.129 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.129 * [taylor]: Taking taylor expansion of 1 in x 21.129 * [backup-simplify]: Simplify 1 into 1 21.129 * [taylor]: Taking taylor expansion of 1 in x 21.129 * [backup-simplify]: Simplify 1 into 1 21.129 * [taylor]: Taking taylor expansion of (* x x) in x 21.129 * [taylor]: Taking taylor expansion of x in x 21.129 * [backup-simplify]: Simplify 0 into 0 21.129 * [backup-simplify]: Simplify 1 into 1 21.129 * [taylor]: Taking taylor expansion of x in x 21.129 * [backup-simplify]: Simplify 0 into 0 21.129 * [backup-simplify]: Simplify 1 into 1 21.129 * [backup-simplify]: Simplify (* 1 1) into 1 21.130 * [backup-simplify]: Simplify (* 0 0) into 0 21.130 * [backup-simplify]: Simplify (+ 1 0) into 1 21.131 * [backup-simplify]: Simplify (sqrt 1) into 1 21.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.132 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.132 * [backup-simplify]: Simplify (+ 0 0) into 0 21.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.133 * [backup-simplify]: Simplify (/ 1 1) into 1 21.133 * [taylor]: Taking taylor expansion of 1/2 in x 21.133 * [backup-simplify]: Simplify 1/2 into 1/2 21.134 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.134 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 21.135 * [backup-simplify]: Simplify (* 1 1) into 1 21.135 * [backup-simplify]: Simplify (* 1 1) into 1 21.135 * [backup-simplify]: Simplify (sqrt 1) into 1 21.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.138 * [backup-simplify]: Simplify (+ 0 0) into 0 21.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.140 * [backup-simplify]: Simplify (- 1) into -1 21.140 * [backup-simplify]: Simplify (+ 1 -1) into 0 21.140 * [backup-simplify]: Simplify 0 into 0 21.141 * [backup-simplify]: Simplify (- 0) into 0 21.141 * [backup-simplify]: Simplify (+ 0 0) into 0 21.141 * [backup-simplify]: Simplify 0 into 0 21.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.143 * [backup-simplify]: Simplify (+ 0 1) into 1 21.144 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 21.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 21.147 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 21.147 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 21.148 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 21.149 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 21.150 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 21.150 * [backup-simplify]: Simplify (- -3/8) into 3/8 21.150 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 21.150 * [backup-simplify]: Simplify 3/8 into 3/8 21.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 21.152 * [backup-simplify]: Simplify (+ 0 0) into 0 21.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 21.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 21.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 21.154 * [backup-simplify]: Simplify (+ 0 0) into 0 21.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 21.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 21.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 21.157 * [backup-simplify]: Simplify (- 0) into 0 21.157 * [backup-simplify]: Simplify (+ 0 0) into 0 21.157 * [backup-simplify]: Simplify 0 into 0 21.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.158 * [backup-simplify]: Simplify (+ 0 0) into 0 21.159 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 21.161 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 21.161 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 21.162 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 21.163 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 21.164 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 21.164 * [backup-simplify]: Simplify (- 39/128) into -39/128 21.164 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 21.164 * [backup-simplify]: Simplify -39/128 into -39/128 21.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 21.166 * [backup-simplify]: Simplify (+ 0 0) into 0 21.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 21.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 21.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 21.170 * [backup-simplify]: Simplify (+ 0 0) into 0 21.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 21.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 21.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 21.173 * [backup-simplify]: Simplify (- 0) into 0 21.173 * [backup-simplify]: Simplify (+ 0 0) into 0 21.173 * [backup-simplify]: Simplify 0 into 0 21.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 21.175 * [backup-simplify]: Simplify (+ 0 0) into 0 21.177 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 21.178 * [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 21.181 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 21.182 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 21.184 * [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 21.188 * [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 21.190 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 21.190 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 21.191 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 21.191 * [backup-simplify]: Simplify 275/1024 into 275/1024 21.191 * [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))) 21.191 * [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))) 21.191 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 21.191 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 21.191 * [taylor]: Taking taylor expansion of 1 in x 21.191 * [backup-simplify]: Simplify 1 into 1 21.192 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 21.192 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 21.192 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 21.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 21.192 * [taylor]: Taking taylor expansion of 1/2 in x 21.192 * [backup-simplify]: Simplify 1/2 into 1/2 21.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 21.192 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 21.192 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 21.192 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 21.192 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.192 * [taylor]: Taking taylor expansion of 1 in x 21.192 * [backup-simplify]: Simplify 1 into 1 21.192 * [taylor]: Taking taylor expansion of 1 in x 21.192 * [backup-simplify]: Simplify 1 into 1 21.192 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.192 * [taylor]: Taking taylor expansion of x in x 21.192 * [backup-simplify]: Simplify 0 into 0 21.192 * [backup-simplify]: Simplify 1 into 1 21.192 * [backup-simplify]: Simplify (/ 1 1) into 1 21.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.193 * [taylor]: Taking taylor expansion of x in x 21.193 * [backup-simplify]: Simplify 0 into 0 21.193 * [backup-simplify]: Simplify 1 into 1 21.193 * [backup-simplify]: Simplify (/ 1 1) into 1 21.193 * [backup-simplify]: Simplify (* 1 1) into 1 21.194 * [backup-simplify]: Simplify (+ 0 1) into 1 21.194 * [backup-simplify]: Simplify (sqrt 1) into 1 21.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.197 * [backup-simplify]: Simplify (+ 0 0) into 0 21.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.198 * [backup-simplify]: Simplify (/ 1 1) into 1 21.198 * [taylor]: Taking taylor expansion of 1/2 in x 21.198 * [backup-simplify]: Simplify 1/2 into 1/2 21.198 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.199 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 21.199 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 21.200 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 21.200 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.200 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.201 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 21.202 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 21.203 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 21.203 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 21.203 * [taylor]: Taking taylor expansion of 1 in x 21.203 * [backup-simplify]: Simplify 1 into 1 21.203 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 21.203 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 21.203 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 21.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 21.203 * [taylor]: Taking taylor expansion of 1/2 in x 21.203 * [backup-simplify]: Simplify 1/2 into 1/2 21.203 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 21.204 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 21.204 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 21.204 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 21.204 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.204 * [taylor]: Taking taylor expansion of 1 in x 21.204 * [backup-simplify]: Simplify 1 into 1 21.204 * [taylor]: Taking taylor expansion of 1 in x 21.204 * [backup-simplify]: Simplify 1 into 1 21.204 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.204 * [taylor]: Taking taylor expansion of x in x 21.204 * [backup-simplify]: Simplify 0 into 0 21.204 * [backup-simplify]: Simplify 1 into 1 21.204 * [backup-simplify]: Simplify (/ 1 1) into 1 21.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.204 * [taylor]: Taking taylor expansion of x in x 21.204 * [backup-simplify]: Simplify 0 into 0 21.204 * [backup-simplify]: Simplify 1 into 1 21.205 * [backup-simplify]: Simplify (/ 1 1) into 1 21.205 * [backup-simplify]: Simplify (* 1 1) into 1 21.206 * [backup-simplify]: Simplify (+ 0 1) into 1 21.206 * [backup-simplify]: Simplify (sqrt 1) into 1 21.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.208 * [backup-simplify]: Simplify (+ 0 0) into 0 21.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.209 * [backup-simplify]: Simplify (/ 1 1) into 1 21.209 * [taylor]: Taking taylor expansion of 1/2 in x 21.209 * [backup-simplify]: Simplify 1/2 into 1/2 21.210 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.210 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 21.210 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 21.210 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 21.211 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.211 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.211 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 21.212 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 21.212 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 21.215 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 21.215 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 21.216 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 21.217 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.219 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.220 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.221 * [backup-simplify]: Simplify (+ 0 0) into 0 21.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 21.222 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 21.225 * [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))) 21.230 * [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)))) 21.235 * [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)))) 21.238 * [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)))) 21.249 * [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)))) 21.249 * [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))) 21.249 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 21.249 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 21.249 * [taylor]: Taking taylor expansion of 1 in x 21.249 * [backup-simplify]: Simplify 1 into 1 21.249 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 21.249 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 21.249 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 21.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 21.249 * [taylor]: Taking taylor expansion of 1/2 in x 21.249 * [backup-simplify]: Simplify 1/2 into 1/2 21.249 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 21.249 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 21.249 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 21.249 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 21.249 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.250 * [taylor]: Taking taylor expansion of 1 in x 21.250 * [backup-simplify]: Simplify 1 into 1 21.250 * [taylor]: Taking taylor expansion of 1 in x 21.250 * [backup-simplify]: Simplify 1 into 1 21.250 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.250 * [taylor]: Taking taylor expansion of -1 in x 21.250 * [backup-simplify]: Simplify -1 into -1 21.250 * [taylor]: Taking taylor expansion of x in x 21.250 * [backup-simplify]: Simplify 0 into 0 21.250 * [backup-simplify]: Simplify 1 into 1 21.250 * [backup-simplify]: Simplify (/ -1 1) into -1 21.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.250 * [taylor]: Taking taylor expansion of -1 in x 21.250 * [backup-simplify]: Simplify -1 into -1 21.250 * [taylor]: Taking taylor expansion of x in x 21.250 * [backup-simplify]: Simplify 0 into 0 21.250 * [backup-simplify]: Simplify 1 into 1 21.251 * [backup-simplify]: Simplify (/ -1 1) into -1 21.251 * [backup-simplify]: Simplify (* -1 -1) into 1 21.252 * [backup-simplify]: Simplify (+ 0 1) into 1 21.252 * [backup-simplify]: Simplify (sqrt 1) into 1 21.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.254 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.255 * [backup-simplify]: Simplify (+ 0 0) into 0 21.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.256 * [backup-simplify]: Simplify (/ 1 1) into 1 21.256 * [taylor]: Taking taylor expansion of 1/2 in x 21.256 * [backup-simplify]: Simplify 1/2 into 1/2 21.256 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.257 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 21.257 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 21.258 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 21.258 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.258 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.259 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 21.260 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 21.261 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 21.261 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 21.261 * [taylor]: Taking taylor expansion of 1 in x 21.261 * [backup-simplify]: Simplify 1 into 1 21.261 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 21.261 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 21.261 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 21.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 21.261 * [taylor]: Taking taylor expansion of 1/2 in x 21.261 * [backup-simplify]: Simplify 1/2 into 1/2 21.261 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 21.261 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 21.262 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 21.262 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 21.262 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.262 * [taylor]: Taking taylor expansion of 1 in x 21.262 * [backup-simplify]: Simplify 1 into 1 21.262 * [taylor]: Taking taylor expansion of 1 in x 21.262 * [backup-simplify]: Simplify 1 into 1 21.262 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.262 * [taylor]: Taking taylor expansion of -1 in x 21.262 * [backup-simplify]: Simplify -1 into -1 21.262 * [taylor]: Taking taylor expansion of x in x 21.262 * [backup-simplify]: Simplify 0 into 0 21.262 * [backup-simplify]: Simplify 1 into 1 21.262 * [backup-simplify]: Simplify (/ -1 1) into -1 21.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.262 * [taylor]: Taking taylor expansion of -1 in x 21.262 * [backup-simplify]: Simplify -1 into -1 21.262 * [taylor]: Taking taylor expansion of x in x 21.262 * [backup-simplify]: Simplify 0 into 0 21.262 * [backup-simplify]: Simplify 1 into 1 21.263 * [backup-simplify]: Simplify (/ -1 1) into -1 21.263 * [backup-simplify]: Simplify (* -1 -1) into 1 21.264 * [backup-simplify]: Simplify (+ 0 1) into 1 21.264 * [backup-simplify]: Simplify (sqrt 1) into 1 21.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.266 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.267 * [backup-simplify]: Simplify (+ 0 0) into 0 21.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.268 * [backup-simplify]: Simplify (/ 1 1) into 1 21.268 * [taylor]: Taking taylor expansion of 1/2 in x 21.268 * [backup-simplify]: Simplify 1/2 into 1/2 21.268 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.269 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 21.269 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 21.270 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 21.270 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.270 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.271 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 21.272 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 21.273 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 21.274 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 21.276 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 21.276 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 21.278 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.282 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.285 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.287 * [backup-simplify]: Simplify (+ 0 0) into 0 21.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 21.289 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 21.294 * [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))) 21.303 * [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)))) 21.311 * [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)))) 21.316 * [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)))) 21.322 * [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))) 21.322 * * * * [progress]: [ 4 / 4 ] generating series at (2) 21.323 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 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) (+ 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) (+ 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) (+ 1/2 (/ 1/2 (hypot 1 x))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) 21.323 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in (x) around 0 21.323 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in x 21.323 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 21.323 * [taylor]: Taking taylor expansion of 1 in x 21.323 * [backup-simplify]: Simplify 1 into 1 21.323 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 21.323 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 21.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 21.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 21.323 * [taylor]: Taking taylor expansion of 1/2 in x 21.323 * [backup-simplify]: Simplify 1/2 into 1/2 21.323 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 21.323 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 21.323 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 21.323 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 21.323 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.323 * [taylor]: Taking taylor expansion of 1 in x 21.323 * [backup-simplify]: Simplify 1 into 1 21.323 * [taylor]: Taking taylor expansion of 1 in x 21.323 * [backup-simplify]: Simplify 1 into 1 21.323 * [taylor]: Taking taylor expansion of (* x x) in x 21.323 * [taylor]: Taking taylor expansion of x in x 21.323 * [backup-simplify]: Simplify 0 into 0 21.323 * [backup-simplify]: Simplify 1 into 1 21.323 * [taylor]: Taking taylor expansion of x in x 21.323 * [backup-simplify]: Simplify 0 into 0 21.323 * [backup-simplify]: Simplify 1 into 1 21.324 * [backup-simplify]: Simplify (* 1 1) into 1 21.324 * [backup-simplify]: Simplify (* 0 0) into 0 21.324 * [backup-simplify]: Simplify (+ 1 0) into 1 21.324 * [backup-simplify]: Simplify (sqrt 1) into 1 21.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.325 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.325 * [backup-simplify]: Simplify (+ 0 0) into 0 21.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.328 * [backup-simplify]: Simplify (/ 1 1) into 1 21.328 * [taylor]: Taking taylor expansion of 1/2 in x 21.328 * [backup-simplify]: Simplify 1/2 into 1/2 21.328 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.328 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 21.328 * [backup-simplify]: Simplify (* 1 1) into 1 21.329 * [backup-simplify]: Simplify (* 1 1) into 1 21.329 * [backup-simplify]: Simplify (sqrt 1) into 1 21.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.330 * [backup-simplify]: Simplify (+ 0 0) into 0 21.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.331 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 21.331 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 21.331 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 21.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 21.331 * [taylor]: Taking taylor expansion of 1/2 in x 21.331 * [backup-simplify]: Simplify 1/2 into 1/2 21.331 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 21.331 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 21.331 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 21.331 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 21.331 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.331 * [taylor]: Taking taylor expansion of 1 in x 21.331 * [backup-simplify]: Simplify 1 into 1 21.331 * [taylor]: Taking taylor expansion of 1 in x 21.331 * [backup-simplify]: Simplify 1 into 1 21.331 * [taylor]: Taking taylor expansion of (* x x) in x 21.331 * [taylor]: Taking taylor expansion of x in x 21.331 * [backup-simplify]: Simplify 0 into 0 21.331 * [backup-simplify]: Simplify 1 into 1 21.331 * [taylor]: Taking taylor expansion of x in x 21.331 * [backup-simplify]: Simplify 0 into 0 21.332 * [backup-simplify]: Simplify 1 into 1 21.332 * [backup-simplify]: Simplify (* 1 1) into 1 21.332 * [backup-simplify]: Simplify (* 0 0) into 0 21.332 * [backup-simplify]: Simplify (+ 1 0) into 1 21.332 * [backup-simplify]: Simplify (sqrt 1) into 1 21.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.333 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.333 * [backup-simplify]: Simplify (+ 0 0) into 0 21.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.334 * [backup-simplify]: Simplify (/ 1 1) into 1 21.334 * [taylor]: Taking taylor expansion of 1/2 in x 21.334 * [backup-simplify]: Simplify 1/2 into 1/2 21.334 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.335 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 21.335 * [backup-simplify]: Simplify (sqrt 1) into 1 21.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.336 * [backup-simplify]: Simplify (+ 0 0) into 0 21.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.336 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 21.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 21.336 * [taylor]: Taking taylor expansion of 1/2 in x 21.336 * [backup-simplify]: Simplify 1/2 into 1/2 21.336 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 21.336 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 21.337 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 21.337 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 21.337 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.337 * [taylor]: Taking taylor expansion of 1 in x 21.337 * [backup-simplify]: Simplify 1 into 1 21.337 * [taylor]: Taking taylor expansion of 1 in x 21.337 * [backup-simplify]: Simplify 1 into 1 21.337 * [taylor]: Taking taylor expansion of (* x x) in x 21.337 * [taylor]: Taking taylor expansion of x in x 21.337 * [backup-simplify]: Simplify 0 into 0 21.337 * [backup-simplify]: Simplify 1 into 1 21.337 * [taylor]: Taking taylor expansion of x in x 21.337 * [backup-simplify]: Simplify 0 into 0 21.337 * [backup-simplify]: Simplify 1 into 1 21.337 * [backup-simplify]: Simplify (* 1 1) into 1 21.337 * [backup-simplify]: Simplify (* 0 0) into 0 21.338 * [backup-simplify]: Simplify (+ 1 0) into 1 21.338 * [backup-simplify]: Simplify (sqrt 1) into 1 21.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.339 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.340 * [backup-simplify]: Simplify (+ 0 0) into 0 21.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.341 * [backup-simplify]: Simplify (/ 1 1) into 1 21.341 * [taylor]: Taking taylor expansion of 3/2 in x 21.341 * [backup-simplify]: Simplify 3/2 into 3/2 21.341 * [backup-simplify]: Simplify (- 1) into -1 21.342 * [backup-simplify]: Simplify (+ 1 -1) into 0 21.342 * [backup-simplify]: Simplify (- 0) into 0 21.343 * [backup-simplify]: Simplify (+ 0 0) into 0 21.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.345 * [backup-simplify]: Simplify (+ 0 1) into 1 21.346 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 21.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 21.348 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 21.348 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 21.349 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 21.350 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 21.351 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 21.352 * [backup-simplify]: Simplify (- -3/8) into 3/8 21.352 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 21.353 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.353 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 21.353 * [backup-simplify]: Simplify (+ 1 2) into 3 21.354 * [backup-simplify]: Simplify (/ 3/8 3) into 1/8 21.354 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in x 21.354 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 21.354 * [taylor]: Taking taylor expansion of 1 in x 21.354 * [backup-simplify]: Simplify 1 into 1 21.354 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 21.354 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 21.354 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 21.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 21.354 * [taylor]: Taking taylor expansion of 1/2 in x 21.354 * [backup-simplify]: Simplify 1/2 into 1/2 21.354 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 21.354 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 21.354 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 21.355 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 21.355 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.355 * [taylor]: Taking taylor expansion of 1 in x 21.355 * [backup-simplify]: Simplify 1 into 1 21.355 * [taylor]: Taking taylor expansion of 1 in x 21.355 * [backup-simplify]: Simplify 1 into 1 21.355 * [taylor]: Taking taylor expansion of (* x x) in x 21.355 * [taylor]: Taking taylor expansion of x in x 21.355 * [backup-simplify]: Simplify 0 into 0 21.355 * [backup-simplify]: Simplify 1 into 1 21.355 * [taylor]: Taking taylor expansion of x in x 21.355 * [backup-simplify]: Simplify 0 into 0 21.355 * [backup-simplify]: Simplify 1 into 1 21.355 * [backup-simplify]: Simplify (* 1 1) into 1 21.356 * [backup-simplify]: Simplify (* 0 0) into 0 21.356 * [backup-simplify]: Simplify (+ 1 0) into 1 21.356 * [backup-simplify]: Simplify (sqrt 1) into 1 21.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.358 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.358 * [backup-simplify]: Simplify (+ 0 0) into 0 21.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.359 * [backup-simplify]: Simplify (/ 1 1) into 1 21.359 * [taylor]: Taking taylor expansion of 1/2 in x 21.359 * [backup-simplify]: Simplify 1/2 into 1/2 21.360 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.360 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 21.360 * [backup-simplify]: Simplify (* 1 1) into 1 21.361 * [backup-simplify]: Simplify (* 1 1) into 1 21.361 * [backup-simplify]: Simplify (sqrt 1) into 1 21.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.363 * [backup-simplify]: Simplify (+ 0 0) into 0 21.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.365 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 21.365 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 21.365 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 21.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 21.365 * [taylor]: Taking taylor expansion of 1/2 in x 21.365 * [backup-simplify]: Simplify 1/2 into 1/2 21.365 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 21.365 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 21.365 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 21.365 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 21.365 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.365 * [taylor]: Taking taylor expansion of 1 in x 21.365 * [backup-simplify]: Simplify 1 into 1 21.365 * [taylor]: Taking taylor expansion of 1 in x 21.365 * [backup-simplify]: Simplify 1 into 1 21.365 * [taylor]: Taking taylor expansion of (* x x) in x 21.365 * [taylor]: Taking taylor expansion of x in x 21.365 * [backup-simplify]: Simplify 0 into 0 21.366 * [backup-simplify]: Simplify 1 into 1 21.366 * [taylor]: Taking taylor expansion of x in x 21.366 * [backup-simplify]: Simplify 0 into 0 21.366 * [backup-simplify]: Simplify 1 into 1 21.366 * [backup-simplify]: Simplify (* 1 1) into 1 21.366 * [backup-simplify]: Simplify (* 0 0) into 0 21.367 * [backup-simplify]: Simplify (+ 1 0) into 1 21.367 * [backup-simplify]: Simplify (sqrt 1) into 1 21.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.368 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.369 * [backup-simplify]: Simplify (+ 0 0) into 0 21.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.370 * [backup-simplify]: Simplify (/ 1 1) into 1 21.370 * [taylor]: Taking taylor expansion of 1/2 in x 21.370 * [backup-simplify]: Simplify 1/2 into 1/2 21.370 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.371 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 21.371 * [backup-simplify]: Simplify (sqrt 1) into 1 21.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.373 * [backup-simplify]: Simplify (+ 0 0) into 0 21.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.373 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 21.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 21.374 * [taylor]: Taking taylor expansion of 1/2 in x 21.374 * [backup-simplify]: Simplify 1/2 into 1/2 21.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 21.374 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 21.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 21.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 21.374 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.374 * [taylor]: Taking taylor expansion of 1 in x 21.374 * [backup-simplify]: Simplify 1 into 1 21.374 * [taylor]: Taking taylor expansion of 1 in x 21.374 * [backup-simplify]: Simplify 1 into 1 21.374 * [taylor]: Taking taylor expansion of (* x x) in x 21.374 * [taylor]: Taking taylor expansion of x in x 21.374 * [backup-simplify]: Simplify 0 into 0 21.374 * [backup-simplify]: Simplify 1 into 1 21.374 * [taylor]: Taking taylor expansion of x in x 21.374 * [backup-simplify]: Simplify 0 into 0 21.374 * [backup-simplify]: Simplify 1 into 1 21.374 * [backup-simplify]: Simplify (* 1 1) into 1 21.375 * [backup-simplify]: Simplify (* 0 0) into 0 21.375 * [backup-simplify]: Simplify (+ 1 0) into 1 21.376 * [backup-simplify]: Simplify (sqrt 1) into 1 21.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.377 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.377 * [backup-simplify]: Simplify (+ 0 0) into 0 21.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.378 * [backup-simplify]: Simplify (/ 1 1) into 1 21.378 * [taylor]: Taking taylor expansion of 3/2 in x 21.378 * [backup-simplify]: Simplify 3/2 into 3/2 21.379 * [backup-simplify]: Simplify (- 1) into -1 21.379 * [backup-simplify]: Simplify (+ 1 -1) into 0 21.379 * [backup-simplify]: Simplify (- 0) into 0 21.380 * [backup-simplify]: Simplify (+ 0 0) into 0 21.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.382 * [backup-simplify]: Simplify (+ 0 1) into 1 21.382 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 21.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 21.383 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 21.384 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 21.384 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 21.385 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 21.385 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 21.386 * [backup-simplify]: Simplify (- -3/8) into 3/8 21.386 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 21.386 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.386 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 21.387 * [backup-simplify]: Simplify (+ 1 2) into 3 21.387 * [backup-simplify]: Simplify (/ 3/8 3) into 1/8 21.387 * [backup-simplify]: Simplify 1/8 into 1/8 21.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 21.388 * [backup-simplify]: Simplify (+ 0 0) into 0 21.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 21.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 21.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 21.391 * [backup-simplify]: Simplify (+ 0 0) into 0 21.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 21.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 21.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 21.393 * [backup-simplify]: Simplify (- 0) into 0 21.394 * [backup-simplify]: Simplify (+ 0 0) into 0 21.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.395 * [backup-simplify]: Simplify (+ 0 0) into 0 21.395 * [backup-simplify]: Simplify (+ 0 0) into 0 21.395 * [backup-simplify]: Simplify (- (/ 0 3) (+ (* 1/8 (/ 0 3)))) into 0 21.395 * [backup-simplify]: Simplify 0 into 0 21.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.397 * [backup-simplify]: Simplify (+ 0 0) into 0 21.398 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 21.400 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 21.400 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 21.401 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 21.402 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 21.403 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 21.403 * [backup-simplify]: Simplify (- 39/128) into -39/128 21.403 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 21.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.404 * [backup-simplify]: Simplify (+ 0 1) into 1 21.405 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 21.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 21.406 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 21.406 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 21.407 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 21.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.408 * [backup-simplify]: Simplify (+ 0 1) into 1 21.409 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 21.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 21.410 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 21.410 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 21.411 * [backup-simplify]: Simplify (+ -1/8 -1/4) into -3/8 21.412 * [backup-simplify]: Simplify (- (/ -39/128 3) (+ (* 1/8 (/ -3/8 3)) (* 0 (/ 0 3)))) into -11/128 21.412 * [backup-simplify]: Simplify -11/128 into -11/128 21.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 21.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 21.414 * [backup-simplify]: Simplify (+ 0 0) into 0 21.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 21.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 21.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 21.421 * [backup-simplify]: Simplify (+ 0 0) into 0 21.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 21.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 21.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 21.427 * [backup-simplify]: Simplify (- 0) into 0 21.428 * [backup-simplify]: Simplify (+ 0 0) into 0 21.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 21.430 * [backup-simplify]: Simplify (+ 0 0) into 0 21.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 21.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 21.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 21.434 * [backup-simplify]: Simplify (+ 0 0) into 0 21.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 21.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 21.436 * [backup-simplify]: Simplify (+ 0 0) into 0 21.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 21.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 21.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 21.438 * [backup-simplify]: Simplify (+ 0 0) into 0 21.439 * [backup-simplify]: Simplify (+ 0 0) into 0 21.439 * [backup-simplify]: Simplify (- (/ 0 3) (+ (* 1/8 (/ 0 3)) (* 0 (/ -3/8 3)) (* -11/128 (/ 0 3)))) into 0 21.440 * [backup-simplify]: Simplify 0 into 0 21.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 21.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 21.441 * [backup-simplify]: Simplify (+ 0 0) into 0 21.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 21.444 * [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 21.445 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 21.445 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 21.447 * [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 21.448 * [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 21.449 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 21.450 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 21.450 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 21.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.451 * [backup-simplify]: Simplify (+ 0 0) into 0 21.452 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 21.454 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 21.454 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 21.455 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 21.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.457 * [backup-simplify]: Simplify (+ 0 0) into 0 21.458 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 21.461 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 21.461 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 21.462 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 21.464 * [backup-simplify]: Simplify (- (/ 275/1024 3) (+ (* 1/8 (/ 35/128 3)) (* 0 (/ 0 3)) (* -11/128 (/ -3/8 3)) (* 0 (/ 0 3)))) into 69/1024 21.464 * [backup-simplify]: Simplify 69/1024 into 69/1024 21.465 * [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))) 21.466 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) 21.466 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in (x) around 0 21.466 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in x 21.467 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 21.467 * [taylor]: Taking taylor expansion of 1 in x 21.467 * [backup-simplify]: Simplify 1 into 1 21.467 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 21.467 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 21.467 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 21.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 21.467 * [taylor]: Taking taylor expansion of 1/2 in x 21.467 * [backup-simplify]: Simplify 1/2 into 1/2 21.467 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 21.467 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 21.467 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 21.467 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 21.467 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.467 * [taylor]: Taking taylor expansion of 1 in x 21.467 * [backup-simplify]: Simplify 1 into 1 21.467 * [taylor]: Taking taylor expansion of 1 in x 21.467 * [backup-simplify]: Simplify 1 into 1 21.467 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.467 * [taylor]: Taking taylor expansion of x in x 21.467 * [backup-simplify]: Simplify 0 into 0 21.467 * [backup-simplify]: Simplify 1 into 1 21.468 * [backup-simplify]: Simplify (/ 1 1) into 1 21.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.468 * [taylor]: Taking taylor expansion of x in x 21.468 * [backup-simplify]: Simplify 0 into 0 21.468 * [backup-simplify]: Simplify 1 into 1 21.468 * [backup-simplify]: Simplify (/ 1 1) into 1 21.469 * [backup-simplify]: Simplify (* 1 1) into 1 21.469 * [backup-simplify]: Simplify (+ 0 1) into 1 21.469 * [backup-simplify]: Simplify (sqrt 1) into 1 21.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.472 * [backup-simplify]: Simplify (+ 0 0) into 0 21.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.473 * [backup-simplify]: Simplify (/ 1 1) into 1 21.473 * [taylor]: Taking taylor expansion of 1/2 in x 21.473 * [backup-simplify]: Simplify 1/2 into 1/2 21.474 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.474 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 21.474 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 21.475 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 21.475 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.476 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.476 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 21.477 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 21.479 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 21.479 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 21.479 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 21.479 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 21.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 21.479 * [taylor]: Taking taylor expansion of 1/2 in x 21.479 * [backup-simplify]: Simplify 1/2 into 1/2 21.479 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 21.479 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 21.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 21.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 21.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.479 * [taylor]: Taking taylor expansion of 1 in x 21.479 * [backup-simplify]: Simplify 1 into 1 21.479 * [taylor]: Taking taylor expansion of 1 in x 21.479 * [backup-simplify]: Simplify 1 into 1 21.479 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.479 * [taylor]: Taking taylor expansion of x in x 21.479 * [backup-simplify]: Simplify 0 into 0 21.479 * [backup-simplify]: Simplify 1 into 1 21.480 * [backup-simplify]: Simplify (/ 1 1) into 1 21.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.480 * [taylor]: Taking taylor expansion of x in x 21.480 * [backup-simplify]: Simplify 0 into 0 21.480 * [backup-simplify]: Simplify 1 into 1 21.480 * [backup-simplify]: Simplify (/ 1 1) into 1 21.481 * [backup-simplify]: Simplify (* 1 1) into 1 21.481 * [backup-simplify]: Simplify (+ 0 1) into 1 21.481 * [backup-simplify]: Simplify (sqrt 1) into 1 21.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.484 * [backup-simplify]: Simplify (+ 0 0) into 0 21.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.485 * [backup-simplify]: Simplify (/ 1 1) into 1 21.485 * [taylor]: Taking taylor expansion of 1/2 in x 21.485 * [backup-simplify]: Simplify 1/2 into 1/2 21.485 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.486 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 21.486 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.487 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.488 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 21.488 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 21.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 21.488 * [taylor]: Taking taylor expansion of 1/2 in x 21.488 * [backup-simplify]: Simplify 1/2 into 1/2 21.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 21.488 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 21.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 21.489 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 21.489 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.489 * [taylor]: Taking taylor expansion of 1 in x 21.489 * [backup-simplify]: Simplify 1 into 1 21.489 * [taylor]: Taking taylor expansion of 1 in x 21.489 * [backup-simplify]: Simplify 1 into 1 21.489 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.489 * [taylor]: Taking taylor expansion of x in x 21.489 * [backup-simplify]: Simplify 0 into 0 21.489 * [backup-simplify]: Simplify 1 into 1 21.489 * [backup-simplify]: Simplify (/ 1 1) into 1 21.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.489 * [taylor]: Taking taylor expansion of x in x 21.489 * [backup-simplify]: Simplify 0 into 0 21.489 * [backup-simplify]: Simplify 1 into 1 21.490 * [backup-simplify]: Simplify (/ 1 1) into 1 21.490 * [backup-simplify]: Simplify (* 1 1) into 1 21.490 * [backup-simplify]: Simplify (+ 0 1) into 1 21.491 * [backup-simplify]: Simplify (sqrt 1) into 1 21.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.493 * [backup-simplify]: Simplify (+ 0 0) into 0 21.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.494 * [backup-simplify]: Simplify (/ 1 1) into 1 21.494 * [taylor]: Taking taylor expansion of 3/2 in x 21.494 * [backup-simplify]: Simplify 3/2 into 3/2 21.495 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 21.495 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 21.496 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 21.496 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 21.498 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 21.498 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in x 21.498 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 21.498 * [taylor]: Taking taylor expansion of 1 in x 21.498 * [backup-simplify]: Simplify 1 into 1 21.498 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 21.498 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 21.498 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 21.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 21.498 * [taylor]: Taking taylor expansion of 1/2 in x 21.498 * [backup-simplify]: Simplify 1/2 into 1/2 21.498 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 21.498 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 21.498 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 21.498 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 21.498 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.498 * [taylor]: Taking taylor expansion of 1 in x 21.498 * [backup-simplify]: Simplify 1 into 1 21.498 * [taylor]: Taking taylor expansion of 1 in x 21.498 * [backup-simplify]: Simplify 1 into 1 21.498 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.498 * [taylor]: Taking taylor expansion of x in x 21.498 * [backup-simplify]: Simplify 0 into 0 21.498 * [backup-simplify]: Simplify 1 into 1 21.499 * [backup-simplify]: Simplify (/ 1 1) into 1 21.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.499 * [taylor]: Taking taylor expansion of x in x 21.499 * [backup-simplify]: Simplify 0 into 0 21.499 * [backup-simplify]: Simplify 1 into 1 21.499 * [backup-simplify]: Simplify (/ 1 1) into 1 21.499 * [backup-simplify]: Simplify (* 1 1) into 1 21.500 * [backup-simplify]: Simplify (+ 0 1) into 1 21.500 * [backup-simplify]: Simplify (sqrt 1) into 1 21.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.502 * [backup-simplify]: Simplify (+ 0 0) into 0 21.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.502 * [backup-simplify]: Simplify (/ 1 1) into 1 21.502 * [taylor]: Taking taylor expansion of 1/2 in x 21.502 * [backup-simplify]: Simplify 1/2 into 1/2 21.503 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.503 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 21.503 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 21.503 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 21.504 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.504 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.504 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 21.505 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 21.505 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 21.505 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 21.506 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 21.506 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 21.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 21.506 * [taylor]: Taking taylor expansion of 1/2 in x 21.506 * [backup-simplify]: Simplify 1/2 into 1/2 21.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 21.506 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 21.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 21.506 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 21.506 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.506 * [taylor]: Taking taylor expansion of 1 in x 21.506 * [backup-simplify]: Simplify 1 into 1 21.506 * [taylor]: Taking taylor expansion of 1 in x 21.506 * [backup-simplify]: Simplify 1 into 1 21.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.506 * [taylor]: Taking taylor expansion of x in x 21.506 * [backup-simplify]: Simplify 0 into 0 21.506 * [backup-simplify]: Simplify 1 into 1 21.506 * [backup-simplify]: Simplify (/ 1 1) into 1 21.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.506 * [taylor]: Taking taylor expansion of x in x 21.506 * [backup-simplify]: Simplify 0 into 0 21.506 * [backup-simplify]: Simplify 1 into 1 21.506 * [backup-simplify]: Simplify (/ 1 1) into 1 21.507 * [backup-simplify]: Simplify (* 1 1) into 1 21.507 * [backup-simplify]: Simplify (+ 0 1) into 1 21.507 * [backup-simplify]: Simplify (sqrt 1) into 1 21.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.509 * [backup-simplify]: Simplify (+ 0 0) into 0 21.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.509 * [backup-simplify]: Simplify (/ 1 1) into 1 21.509 * [taylor]: Taking taylor expansion of 1/2 in x 21.509 * [backup-simplify]: Simplify 1/2 into 1/2 21.510 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 21.510 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 21.510 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.510 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.511 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 21.511 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 21.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 21.511 * [taylor]: Taking taylor expansion of 1/2 in x 21.511 * [backup-simplify]: Simplify 1/2 into 1/2 21.511 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 21.511 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 21.511 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 21.511 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 21.511 * [taylor]: Taking taylor expansion of (* 1 1) in x 21.511 * [taylor]: Taking taylor expansion of 1 in x 21.511 * [backup-simplify]: Simplify 1 into 1 21.511 * [taylor]: Taking taylor expansion of 1 in x 21.511 * [backup-simplify]: Simplify 1 into 1 21.511 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.511 * [taylor]: Taking taylor expansion of x in x 21.512 * [backup-simplify]: Simplify 0 into 0 21.512 * [backup-simplify]: Simplify 1 into 1 21.512 * [backup-simplify]: Simplify (/ 1 1) into 1 21.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.512 * [taylor]: Taking taylor expansion of x in x 21.512 * [backup-simplify]: Simplify 0 into 0 21.512 * [backup-simplify]: Simplify 1 into 1 21.512 * [backup-simplify]: Simplify (/ 1 1) into 1 21.512 * [backup-simplify]: Simplify (* 1 1) into 1 21.513 * [backup-simplify]: Simplify (+ 0 1) into 1 21.513 * [backup-simplify]: Simplify (sqrt 1) into 1 21.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.515 * [backup-simplify]: Simplify (+ 0 0) into 0 21.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.515 * [backup-simplify]: Simplify (/ 1 1) into 1 21.515 * [taylor]: Taking taylor expansion of 3/2 in x 21.515 * [backup-simplify]: Simplify 3/2 into 3/2 21.516 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 21.517 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 21.517 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 21.517 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 21.519 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 21.521 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 21.522 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.525 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 21.526 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 21.526 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 21.528 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 21.551 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 21.581 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 21.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.583 * [backup-simplify]: Simplify (+ 0 0) into 0 21.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 21.584 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 21.587 * [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))) 21.593 * [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)))) 21.597 * [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)))) 21.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.598 * [backup-simplify]: Simplify (+ 0 0) into 0 21.601 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 21.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 21.602 * [backup-simplify]: Simplify (+ 0 0) into 0 21.604 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 21.694 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 21.841 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 22.045 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 x)) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (* 1/4 (/ (sqrt 1/8) (* x (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) 22.053 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) 22.053 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in (x) around 0 22.053 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in x 22.053 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 22.053 * [taylor]: Taking taylor expansion of 1 in x 22.053 * [backup-simplify]: Simplify 1 into 1 22.053 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 22.053 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 22.053 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 22.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 22.053 * [taylor]: Taking taylor expansion of 1/2 in x 22.053 * [backup-simplify]: Simplify 1/2 into 1/2 22.053 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 22.053 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 22.054 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 22.054 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 22.054 * [taylor]: Taking taylor expansion of (* 1 1) in x 22.054 * [taylor]: Taking taylor expansion of 1 in x 22.054 * [backup-simplify]: Simplify 1 into 1 22.054 * [taylor]: Taking taylor expansion of 1 in x 22.054 * [backup-simplify]: Simplify 1 into 1 22.054 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 22.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.054 * [taylor]: Taking taylor expansion of -1 in x 22.054 * [backup-simplify]: Simplify -1 into -1 22.054 * [taylor]: Taking taylor expansion of x in x 22.054 * [backup-simplify]: Simplify 0 into 0 22.054 * [backup-simplify]: Simplify 1 into 1 22.055 * [backup-simplify]: Simplify (/ -1 1) into -1 22.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.055 * [taylor]: Taking taylor expansion of -1 in x 22.055 * [backup-simplify]: Simplify -1 into -1 22.055 * [taylor]: Taking taylor expansion of x in x 22.055 * [backup-simplify]: Simplify 0 into 0 22.055 * [backup-simplify]: Simplify 1 into 1 22.055 * [backup-simplify]: Simplify (/ -1 1) into -1 22.056 * [backup-simplify]: Simplify (* -1 -1) into 1 22.056 * [backup-simplify]: Simplify (+ 0 1) into 1 22.056 * [backup-simplify]: Simplify (sqrt 1) into 1 22.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.059 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 22.059 * [backup-simplify]: Simplify (+ 0 0) into 0 22.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 22.060 * [backup-simplify]: Simplify (/ 1 1) into 1 22.060 * [taylor]: Taking taylor expansion of 1/2 in x 22.060 * [backup-simplify]: Simplify 1/2 into 1/2 22.061 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 22.061 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 22.062 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 22.062 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 22.063 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 22.063 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 22.064 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 22.064 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 22.066 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 22.066 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 22.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 22.066 * [taylor]: Taking taylor expansion of 1/2 in x 22.066 * [backup-simplify]: Simplify 1/2 into 1/2 22.066 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 22.066 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 22.066 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 22.066 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 22.066 * [taylor]: Taking taylor expansion of (* 1 1) in x 22.066 * [taylor]: Taking taylor expansion of 1 in x 22.066 * [backup-simplify]: Simplify 1 into 1 22.066 * [taylor]: Taking taylor expansion of 1 in x 22.066 * [backup-simplify]: Simplify 1 into 1 22.066 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 22.066 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.066 * [taylor]: Taking taylor expansion of -1 in x 22.066 * [backup-simplify]: Simplify -1 into -1 22.066 * [taylor]: Taking taylor expansion of x in x 22.066 * [backup-simplify]: Simplify 0 into 0 22.066 * [backup-simplify]: Simplify 1 into 1 22.067 * [backup-simplify]: Simplify (/ -1 1) into -1 22.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.067 * [taylor]: Taking taylor expansion of -1 in x 22.067 * [backup-simplify]: Simplify -1 into -1 22.067 * [taylor]: Taking taylor expansion of x in x 22.067 * [backup-simplify]: Simplify 0 into 0 22.067 * [backup-simplify]: Simplify 1 into 1 22.067 * [backup-simplify]: Simplify (/ -1 1) into -1 22.068 * [backup-simplify]: Simplify (* -1 -1) into 1 22.068 * [backup-simplify]: Simplify (+ 0 1) into 1 22.069 * [backup-simplify]: Simplify (sqrt 1) into 1 22.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.071 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 22.071 * [backup-simplify]: Simplify (+ 0 0) into 0 22.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 22.072 * [backup-simplify]: Simplify (/ 1 1) into 1 22.072 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 22.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 22.072 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 22.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 22.073 * [taylor]: Taking taylor expansion of 1/2 in x 22.073 * [backup-simplify]: Simplify 1/2 into 1/2 22.073 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 22.073 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 22.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 22.073 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 22.073 * [taylor]: Taking taylor expansion of (* 1 1) in x 22.073 * [taylor]: Taking taylor expansion of 1 in x 22.073 * [backup-simplify]: Simplify 1 into 1 22.073 * [taylor]: Taking taylor expansion of 1 in x 22.073 * [backup-simplify]: Simplify 1 into 1 22.073 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 22.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.073 * [taylor]: Taking taylor expansion of -1 in x 22.073 * [backup-simplify]: Simplify -1 into -1 22.073 * [taylor]: Taking taylor expansion of x in x 22.073 * [backup-simplify]: Simplify 0 into 0 22.073 * [backup-simplify]: Simplify 1 into 1 22.073 * [backup-simplify]: Simplify (/ -1 1) into -1 22.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.074 * [taylor]: Taking taylor expansion of -1 in x 22.074 * [backup-simplify]: Simplify -1 into -1 22.074 * [taylor]: Taking taylor expansion of x in x 22.074 * [backup-simplify]: Simplify 0 into 0 22.074 * [backup-simplify]: Simplify 1 into 1 22.074 * [backup-simplify]: Simplify (/ -1 1) into -1 22.074 * [backup-simplify]: Simplify (* -1 -1) into 1 22.075 * [backup-simplify]: Simplify (+ 0 1) into 1 22.075 * [backup-simplify]: Simplify (sqrt 1) into 1 22.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.078 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 22.078 * [backup-simplify]: Simplify (+ 0 0) into 0 22.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 22.079 * [backup-simplify]: Simplify (/ 1 1) into 1 22.079 * [taylor]: Taking taylor expansion of 1/2 in x 22.079 * [backup-simplify]: Simplify 1/2 into 1/2 22.079 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 22.080 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 22.080 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 22.081 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 22.083 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 22.083 * [taylor]: Taking taylor expansion of 3/2 in x 22.083 * [backup-simplify]: Simplify 3/2 into 3/2 22.083 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 22.085 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 22.086 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 22.087 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 22.090 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 22.090 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in x 22.090 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 22.090 * [taylor]: Taking taylor expansion of 1 in x 22.090 * [backup-simplify]: Simplify 1 into 1 22.090 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 22.090 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 22.090 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 22.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 22.090 * [taylor]: Taking taylor expansion of 1/2 in x 22.090 * [backup-simplify]: Simplify 1/2 into 1/2 22.090 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 22.090 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 22.091 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 22.091 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 22.091 * [taylor]: Taking taylor expansion of (* 1 1) in x 22.091 * [taylor]: Taking taylor expansion of 1 in x 22.091 * [backup-simplify]: Simplify 1 into 1 22.091 * [taylor]: Taking taylor expansion of 1 in x 22.091 * [backup-simplify]: Simplify 1 into 1 22.091 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 22.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.091 * [taylor]: Taking taylor expansion of -1 in x 22.091 * [backup-simplify]: Simplify -1 into -1 22.091 * [taylor]: Taking taylor expansion of x in x 22.091 * [backup-simplify]: Simplify 0 into 0 22.091 * [backup-simplify]: Simplify 1 into 1 22.091 * [backup-simplify]: Simplify (/ -1 1) into -1 22.091 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.091 * [taylor]: Taking taylor expansion of -1 in x 22.091 * [backup-simplify]: Simplify -1 into -1 22.091 * [taylor]: Taking taylor expansion of x in x 22.091 * [backup-simplify]: Simplify 0 into 0 22.092 * [backup-simplify]: Simplify 1 into 1 22.092 * [backup-simplify]: Simplify (/ -1 1) into -1 22.092 * [backup-simplify]: Simplify (* -1 -1) into 1 22.093 * [backup-simplify]: Simplify (+ 0 1) into 1 22.093 * [backup-simplify]: Simplify (sqrt 1) into 1 22.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.095 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 22.096 * [backup-simplify]: Simplify (+ 0 0) into 0 22.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 22.097 * [backup-simplify]: Simplify (/ 1 1) into 1 22.097 * [taylor]: Taking taylor expansion of 1/2 in x 22.097 * [backup-simplify]: Simplify 1/2 into 1/2 22.097 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 22.098 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 22.098 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 22.098 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 22.099 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 22.099 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 22.100 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 22.100 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 22.102 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 22.102 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 22.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 22.102 * [taylor]: Taking taylor expansion of 1/2 in x 22.102 * [backup-simplify]: Simplify 1/2 into 1/2 22.102 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 22.102 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 22.102 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 22.102 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 22.102 * [taylor]: Taking taylor expansion of (* 1 1) in x 22.102 * [taylor]: Taking taylor expansion of 1 in x 22.102 * [backup-simplify]: Simplify 1 into 1 22.102 * [taylor]: Taking taylor expansion of 1 in x 22.102 * [backup-simplify]: Simplify 1 into 1 22.102 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 22.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.103 * [taylor]: Taking taylor expansion of -1 in x 22.103 * [backup-simplify]: Simplify -1 into -1 22.103 * [taylor]: Taking taylor expansion of x in x 22.103 * [backup-simplify]: Simplify 0 into 0 22.103 * [backup-simplify]: Simplify 1 into 1 22.103 * [backup-simplify]: Simplify (/ -1 1) into -1 22.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.103 * [taylor]: Taking taylor expansion of -1 in x 22.103 * [backup-simplify]: Simplify -1 into -1 22.103 * [taylor]: Taking taylor expansion of x in x 22.103 * [backup-simplify]: Simplify 0 into 0 22.103 * [backup-simplify]: Simplify 1 into 1 22.104 * [backup-simplify]: Simplify (/ -1 1) into -1 22.104 * [backup-simplify]: Simplify (* -1 -1) into 1 22.105 * [backup-simplify]: Simplify (+ 0 1) into 1 22.105 * [backup-simplify]: Simplify (sqrt 1) into 1 22.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.107 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 22.108 * [backup-simplify]: Simplify (+ 0 0) into 0 22.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 22.109 * [backup-simplify]: Simplify (/ 1 1) into 1 22.109 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 22.109 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 22.109 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 22.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 22.109 * [taylor]: Taking taylor expansion of 1/2 in x 22.109 * [backup-simplify]: Simplify 1/2 into 1/2 22.109 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 22.109 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 22.109 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 22.109 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 22.109 * [taylor]: Taking taylor expansion of (* 1 1) in x 22.109 * [taylor]: Taking taylor expansion of 1 in x 22.109 * [backup-simplify]: Simplify 1 into 1 22.109 * [taylor]: Taking taylor expansion of 1 in x 22.109 * [backup-simplify]: Simplify 1 into 1 22.109 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 22.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.109 * [taylor]: Taking taylor expansion of -1 in x 22.109 * [backup-simplify]: Simplify -1 into -1 22.109 * [taylor]: Taking taylor expansion of x in x 22.110 * [backup-simplify]: Simplify 0 into 0 22.110 * [backup-simplify]: Simplify 1 into 1 22.110 * [backup-simplify]: Simplify (/ -1 1) into -1 22.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 22.110 * [taylor]: Taking taylor expansion of -1 in x 22.110 * [backup-simplify]: Simplify -1 into -1 22.110 * [taylor]: Taking taylor expansion of x in x 22.110 * [backup-simplify]: Simplify 0 into 0 22.110 * [backup-simplify]: Simplify 1 into 1 22.111 * [backup-simplify]: Simplify (/ -1 1) into -1 22.111 * [backup-simplify]: Simplify (* -1 -1) into 1 22.111 * [backup-simplify]: Simplify (+ 0 1) into 1 22.112 * [backup-simplify]: Simplify (sqrt 1) into 1 22.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 22.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 22.114 * [backup-simplify]: Simplify (+ 0 0) into 0 22.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 22.115 * [backup-simplify]: Simplify (/ 1 1) into 1 22.115 * [taylor]: Taking taylor expansion of 1/2 in x 22.115 * [backup-simplify]: Simplify 1/2 into 1/2 22.116 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 22.116 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 22.117 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 22.117 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 22.119 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 22.119 * [taylor]: Taking taylor expansion of 3/2 in x 22.119 * [backup-simplify]: Simplify 3/2 into 3/2 22.119 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 22.121 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 22.122 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 22.123 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 22.126 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 22.129 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 22.130 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 22.134 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 22.135 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 22.136 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 22.139 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 22.159 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 22.202 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 22.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 22.204 * [backup-simplify]: Simplify (+ 0 0) into 0 22.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 22.206 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 22.211 * [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))) 22.220 * [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)))) 22.228 * [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)))) 22.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 22.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 22.231 * [backup-simplify]: Simplify (+ 0 0) into 0 22.237 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 22.239 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 22.244 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 22.311 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 22.438 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 22.620 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 (- x))) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/4 (/ (sqrt 1/8) (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2))))))))))))) 22.621 * * * [progress]: simplifying candidates 22.621 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 22.621 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 22.621 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 22.621 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 22.621 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 22.621 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 22.622 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 22.623 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 22.623 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 22.623 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 22.623 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 22.623 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 22.623 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 22.623 * * * * [progress]: [ 23 / 101 ] simplifiying candidate #real (real->posit16 (- 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) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 22.623 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 22.623 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 22.624 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 22.625 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 46 / 101 ] simplifiying candidate #real (real->posit16 (- 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) (+ 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) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 22.626 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 22.626 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 22.627 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 69 / 101 ] simplifiying candidate #real (real->posit16 (- 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) (+ 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) (+ 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) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 22.628 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 22.628 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 22.629 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 22.630 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 22.630 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 22.630 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 22.630 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 22.630 * * * * [progress]: [ 89 / 101 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (/ (- 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) (+ 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) (+ 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) (+ 1/2 (/ 1/2 (hypot 1 x))))))))))> 22.630 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 22.630 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 22.630 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 22.631 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 22.635 * [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)))) (+ 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Extracting #1: cost 243 inf + 0 24.059 * * [simplify]: Extracting #2: cost 639 inf + 98 24.073 * * [simplify]: Extracting #3: cost 1012 inf + 16495 24.095 * * [simplify]: Extracting #4: cost 1018 inf + 88217 24.174 * * [simplify]: Extracting #5: cost 759 inf + 158818 24.273 * * [simplify]: Extracting #6: cost 378 inf + 266276 24.504 * * [simplify]: Extracting #7: cost 90 inf + 468892 24.809 * * [simplify]: Extracting #8: cost 5 inf + 579210 25.168 * * [simplify]: Extracting #9: cost 0 inf + 567182 25.474 * * [simplify]: Extracting #10: cost 0 inf + 559394 25.823 * * [simplify]: Extracting #11: cost 0 inf + 558387 26.183 * * [simplify]: Extracting #12: cost 0 inf + 558272 26.590 * [simplify]: Simplified to: (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 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Extracting. 27.306 * * [regime]: Finding splitpoints for: (# # #) 27.307 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 27.307 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 27.337 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 27.368 * * * * [regimes]: Trying to branch on x from (# # #) 27.409 * * * [regime]: Found split indices: #